<table><thead><tr><th>Γ(NK* (892))/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03 ± 0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(NK* (892), S=1/2, D-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.01 ± 0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(NK* (892), S=3/2, D-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>~ 0</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>(Γ<sub>1</sub>Γ<sub>3</sub>)<sup>1/2</sup>/Γ<sub>total</sub> in N<sup>2</sup>R → Σ(1910) → Λπ</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.06 ± 0.03</td><td>GOPAL</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>-0.04 ± 0.02</td><td>BAILLON</td><td>75</td><td>IPWA K N → Λπ</td></tr><tr><td>-0.05 + 0.03<br/>-0.02</td><td>VANHORN</td><td>75</td><td>DPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr><tr><td>-0.153 ± 0.070</td><td>DEVENISH</td><td>74b</td><td>Fixed-t dispersion rel.</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-0.15 or -0.14</td><td>1 MARTIN</td><td>77</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>(Γ<sub>1</sub>Γ<sub>3</sub>)<sup>1/2</sup>/Γ<sub>total</sub> in N<sup>2</sup>R → Σ(1910) → Σπ</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.08 ± 0.04</td><td>GOPAL</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>-0.14 ± 0.04</td><td>KANE</td><td>74</td><td>DPWA K<sup>-</sup> p → Σπ</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>+0.16 or +0.16</td><td>1 MARTIN</td><td>77</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>(Γ<sub>1</sub>Γ<sub>3</sub>)<sup>1/2</sup>/Γ<sub>total</sub> in N<sup>2</sup>R → Σ(1910) → Σ(1385)π</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.066 ± 0.025</td><td>2 CAMERON</td><td>78</td><td>DPWA K<sup>-</sup> p → Σ(1385)π</td></tr></tbody></table>

<table><thead><tr><th>(Γ<sub>1</sub>Γ<sub>3</sub>)<sup>1/2</sup>/Γ<sub>total</sub> in N<sup>2</sup>R → Σ(1910) → Λ(1520)π, P-wave</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt; 0.03</td><td>CAMERON</td><td>77</td><td>DPWA K<sup>-</sup> p → Λ(1520) π<sup>0</sup></td></tr><tr><td>-0.11 ± 0.04</td><td>LITCHFIELD</td><td>74b</td><td>DPWA K<sup>-</sup> p → Λ(1520) π<sup>0</sup></td></tr></tbody></table>

<table><thead><tr><th>(Γ<sub>1</sub>Γ<sub>3</sub>)<sup>1/2</sup>/Γ<sub>total</sub> in N<sup>2</sup>R → Σ(1910) → Λ(1520)π, F-wave</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.062 ± 0.021</td><td>CAMERON</td><td>77</td><td>DPWA K<sup>-</sup> p → Λ(1520) π<sup>0</sup></td></tr><tr><td>-0.08 ± 0.04</td><td>LITCHFIELD</td><td>74b</td><td>DPWA K<sup>-</sup> p → Λ(1520) π<sup>0</sup></td></tr></tbody></table>

<table><thead><tr><th>(Γ<sub>1</sub>Γ<sub>3</sub>)<sup>1/2</sup>/Γ<sub>total</sub> in N<sup>2</sup>R → Σ(1910) → Δ(1232)K, S-wave</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.16 ± 0.05</td><td>LITCHFIELD</td><td>74c</td><td>DPWA K<sup>-</sup> p → Δ(1232) K</td></tr></tbody></table>

<table><thead><tr><th>(Γ<sub>1</sub>Γ<sub>3</sub>)<sup>1/2</sup>/Γ<sub>total</sub> in N<sup>2</sup>R → Σ(1910) → Δ(1232)K, D-wave</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.14 ± 0.05</td><td>LITCHFIELD</td><td>74c</td><td>DPWA K<sup>-</sup> p → Δ(1232) K</td></tr></tbody></table>

<table><thead><tr><th>(Γ<sub>1</sub>Γ<sub>3</sub>)<sup>1/2</sup>/Γ<sub>total</sub> in N<sup>2</sup>R → Σ(1910) → N<sup>2</sup>R* (892)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.09 ± 0.02</td><td>3 CAMERON</td><td>78b</td><td>DPWA K<sup>-</sup> p → N<sup>2</sup>R*</td></tr></tbody></table>

Σ(1910) FOOTNOTES

¹The two MARTIN 77 values are from a T-matrix pole and from a Breit-Wigner fit.

²The published sign has been changed to be in accord with the baryon-first convention.

³Upper limits on the D₁ and D₃ waves are each 0.03.

Σ(1910) REFERENCES

<table><tr><td>SARANTSEV</td><td>19</td><td>EPJ A55 180</td><td>A.V. Sarantsev et al. (BONN, PNPI)</td></tr><tr><td>PDG</td><td>82</td><td>PL 111B 1</td><td>M. Roos et al. (HELS, CIT, CERN)</td></tr><tr><td>GOPAL</td><td>80</td><td>Toronto Conf. 159</td><td>G.P. Gopal (RHEL)</td></tr><tr><td>CAMERON</td><td>78</td><td>NP B145 189</td><td>W. Cameron et al. (RHEL, LOIC) IJP</td></tr><tr><td>CAMERON</td><td>78B</td><td>NP B146 327</td><td>W. Cameron et al. (RHEL, LOIC) IJP</td></tr><tr><td>CAMERON</td><td>77</td><td>NP B131 399</td><td>W. Cameron et al. (RHEL, LOIC) IJP</td></tr><tr><td>GOPAL</td><td>77</td><td>NP B119 362</td><td>G.P. Gopal et al. (RHEL, LOIC) IJP</td></tr><tr><td>GOYAL</td><td>77</td><td>PR D16 2746</td><td>D.P. Goyal, A.V. Sodhi (DELH)</td></tr><tr><td>MARTIN</td><td>77</td><td>NP B127 349</td><td>B.R. Martin, M.K. Pidcock, R.G. Moorhouse (LOUC+) IJP</td></tr><tr><td>Also</td><td></td><td>NP B126 266</td><td>B.R. Martin, M.K. Pidcock (LOUC)</td></tr><tr><td>Also</td><td></td><td>NP B126 285</td><td>B.R. Martin, M.K. Pidcock (LOUC) IJP</td></tr><tr><td>DEBELLEFON</td><td>76</td><td>NP B109 129</td><td>A. de Bellefon, A. Berthon (CDEF) IJP</td></tr><tr><td>BAILLON</td><td>75</td><td>NP B94 39</td><td>P.H. Baillon, P.J. Litchfield (CERN, RHEL) IJP</td></tr><tr><td>HEMINGWAY</td><td>75</td><td>NP B91 12</td><td>R.J. Hemingway et al. (CERN, HEIDH) MPIM) UP</td></tr><tr><td>VANHORN</td><td>75</td><td>NP B87 145</td><td>A.J. van Horn (LBL) IJP</td></tr><tr><td>Also</td><td></td><td>NP B87 157</td><td>A.J. van Horn (LBL) IJP</td></tr><tr><td>DEVENISH</td><td>74B</td><td>NP B81 330</td><td>R.C.E. Devenish, C.D. Froggatt, B.R. Martin (DESY+)</td></tr><tr><td>KANE</td><td>74</td><td>LBL-2452</td><td>D.F. Kane (LBL) IJP</td></tr><tr><td>LITCHFIELD</td><td>74B</td><td>NP B74 19</td><td>P.J. Litchfield et al. (CERN, HEIDH) UP</td></tr><tr><td>LITCHFIELD</td><td>74C</td><td>NP B74 39</td><td>P.J. Litchfield et al. (CERN, HEIDH) UP</td></tr></table>

$$\Sigma(1915) 5/2^+$$

$$I(J^P) = 1(\frac{3}{2}^+) \text{ Status: } ****$$

Discovered by COOL 66. For results published before 1974 (they are now obsolete), see our 1982 edition Physics Letters **111B** 1 (1982).

This entry only includes results from partial-wave analyses. Parameters of peaks seen in cross sections and invariant-mass distributions in this region used to be listed in a separate entry immediately following. They may be found in our 1986 edition Physics Letters **170B** 1 (1986).

Σ(1915) POLE POSITION

REAL PART

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>1885 to 1915 (≈ 1900) OUR ESTIMATE</strong></td></tr><tr><td>1908 ± 7</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td>1890<sup>+3</sup><sub>2</sub></td><td><sup>1</sup> KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>1897</td><td>ZHANG</td><td>13A</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup> From the preferred solution A in KAMANO 15.</td></tr></table>

-2×IMAGINARY PART

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>90 to 110 (≈ 100) OUR ESTIMATE</strong></td></tr><tr><td>98 ± 12</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td>97<sup>+4</sup><sub>-6</sub></td><td><sup>1</sup> KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>133</td><td>ZHANG</td><td>13A</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup> From the preferred solution A in KAMANO 15.</td></tr></table>

Σ(1915) POLE RESIDUES

The normalized residue is the residue divided by $Γ_{pole}/2$.

Normalized residue in N<sup>2</sup>R → Σ(1915) → N<sup>2</sup>R

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.08 ± 0.02</td><td>-33 ± 15</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.0391</td><td>-15</td><td><sup>1</sup> KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup> From the preferred solution A in KAMANO 15.</td></tr></tbody></table>

Normalized residue in N<sup>2</sup>R → Σ(1915) → Σπ

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.09 ± 0.02</td><td>180 ± 12</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.157</td><td>157</td><td><sup>1</sup> KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup> From the preferred solution A in KAMANO 15.</td></tr></tbody></table>

Normalized residue in N<sup>2</sup>R → Σ(1915) → Λπ

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.07 ± 0.02</td><td>-170 ± 20</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.0757</td><td>166</td><td><sup>1</sup> KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup> From the preferred solution A in KAMANO 15.</td></tr></tbody></table>

Normalized residue in N<sup>2</sup>R → Σ(1915) → ΞK

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02 ± 0.01</td><td>-65 ± 35</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.002</td><td>-88</td><td><sup>1</sup> KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup> From the preferred solution A in KAMANO 15.</td></tr></tbody></table>

Normalized residue in N<sup>2</sup>R → Λ(1915) → Σ(1385)π, F-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02 ± 0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.0724</td><td>161</td><td><sup>1</sup> KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup> From the preferred solution A in KAMANO 15.</td></tr></tbody></table>

Normalized residue in N<sup>2</sup>R → Λ(1915) → Σ(1385)π, F-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05 ± 0.03</td><td>-30 ± 50</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.0162</td><td>-163</td><td><sup>1</sup> KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup> From the preferred solution A in KAMANO 15.</td></tr></tbody></table>

Normalized residue in N<sup>2</sup>R → Σ(1915) → Λ(1520)π, D-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.08 ± 0.02</td><td>-105 ± 50</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>
Normalized residue in $N\bar{K} \to \Sigma(1915) \to \Delta\bar{K}, P$-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.12±0.03</td><td>-10 ± 20</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

Normalized residue in $N\bar{K} \to \Sigma(1915) \to \Delta\bar{K}, F$-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.07±0.02</td><td>-35 ± 25</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

Normalized residue in $N\bar{K} \to \Sigma(1915) \to \Lambda(1520)\pi, G$-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.01±0.01</td><td></td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

Normalized residue in $N\bar{K} \to \Sigma(1915) \to N\bar{K}^*(892), S=1/2, F$-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.07 ±0.04</td><td>-60 ± 45</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>0.00476</td><td>4</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

¹ From the preferred solution A in KAMANO 15.

Normalized residue in $N\bar{K} \to \Sigma(1915) \to N\bar{K}^*(892), S=3/2, P$-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td></td><td></td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td></td><td></td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>0.0494</td><td>51</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

¹ From the preferred solution A in KAMANO 15.

Normalized residue in $N\bar{K} \to \Sigma(1915) \to N\bar{K}^*(892), S=3/2, F$-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.07 ±0.03</td><td>-40 ± 45</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>0.000314</td><td>16</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

¹ From the preferred solution A in KAMANO 15.

$\Sigma(1915)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">1900 to 1935 (≈ 1915) OUR ESTIMATE</td></tr><tr><td>1918 ± 6</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td>1920 ± 7</td><td>ZHANG</td><td>13a</td><td>DPWA K N multichannel</td></tr><tr><td>1937 ± 20</td><td>ALSTON...</td><td>78</td><td>DPWA K N → K N</td></tr><tr><td>1894 ± 5</td><td>1 CORDEN</td><td>77c</td><td>K<sup>-</sup> n → Σπ</td></tr><tr><td>1909 ± 5</td><td>1 CORDEN</td><td>77c</td><td>K<sup>-</sup> n → Σπ</td></tr><tr><td>1920 ± 10</td><td>GOPAL</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>1920 ± 30</td><td>BAILLON</td><td>75</td><td>IPWA K N → Λπ</td></tr><tr><td>1914 ± 10</td><td>HEMINGWAY</td><td>75</td><td>DPWA K<sup>-</sup> p → K N</td></tr><tr><td>1920 ± 15</td><td>VANHORN</td><td>75</td><td>DPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr><tr><td>1920 ± 20</td><td>KANE</td><td>74</td><td>DPWA K<sup>-</sup> p → Σπ</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>not seen</td><td>DECLAIS</td><td>77</td><td>DPWA K N → K N</td></tr><tr><td>1925 or 1933</td><td>2 MARTIN</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>1900 ± 4</td><td>3 CORDEN</td><td>76</td><td>DPWA K<sup>-</sup> n → Λπ<sup>-</sup></td></tr><tr><td>1915</td><td>DEBELLEFON</td><td>76</td><td>IPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr></tbody></table>

¹ The two entries for CORDEN 77c are from two different acceptable solutions.

² The two MARTIN 77 values are from a T-matrix pole and from a Breit-Wigner fit.

³ Preferred solution 3; see CORDEN 76 for other possibilities.

$\Sigma(1915)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">80 to 160 (≈ 120) OUR ESTIMATE</td></tr><tr><td>102 ± 12</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td>149 ± 17</td><td>ZHANG</td><td>13a</td><td>DPWA Multichannel</td></tr><tr><td>161 ± 20</td><td>ALSTON...</td><td>78</td><td>DPWA K N → K N</td></tr><tr><td>107 ± 14</td><td>1 CORDEN</td><td>77c</td><td>K<sup>-</sup> n → Σ<sup>-</sup></td></tr><tr><td>85 ± 13</td><td>1 CORDEN</td><td>77c</td><td>K<sup>-</sup> n → Σπ</td></tr><tr><td>130 ± 10</td><td>GOPAL</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>70 ± 20</td><td>BAILLON</td><td>75</td><td>IPWA K N → Λπ</td></tr><tr><td>85 ± 15</td><td>HEMINGWAY</td><td>75</td><td>DPWA K<sup>-</sup> p → K N</td></tr><tr><td>102 ± 18</td><td>VANHORN</td><td>75</td><td>DPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr><tr><td>162 ± 25</td><td>KANE</td><td>74</td><td>DPWA K<sup>-</sup> p → Σπ</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>171 or 173</td><td>2 MARTIN</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>75 ± 14</td><td>3 CORDEN</td><td>76</td><td>DPWA K<sup>-</sup> n → Λπ<sup>-</sup></td></tr><tr><td>60</td><td>DEBELLEFON</td><td>76</td><td>IPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr></tbody></table>

¹ The two entries for CORDEN 77c are from two different acceptable solutions.

² The two MARTIN 77 values are from a T-matrix pole and from a Breit-Wigner fit.

³ Preferred solution 3; see CORDEN 76 for other possibilities.

$\Sigma(1915)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> N<bar>K</td><td>0.05 to 0.15</td></tr><tr><td>Γ<sub>2</sub> Λπ</td><td>( 6.0 ± 2.0) %</td></tr><tr><td>Γ<sub>3</sub> Σπ</td><td>(10.0 ± 2.0) %</td></tr><tr><td>Γ<sub>4</sub> ΞK</td><td></td></tr><tr><td>Γ<sub>5</sub> Σ(1385)π</td><td></td></tr><tr><td>Γ<sub>6</sub> Σ(1385)π, P-wave</td><td>( 2.0 ± 2.0) %</td></tr><tr><td>Γ<sub>7</sub> Σ(1385)π, F-wave</td><td>( 4.0 ± 2.0) %</td></tr><tr><td>Γ<sub>8</sub> Λ(1520)π, D-wave</td><td>( 8.0 ± 2.0) %</td></tr><tr><td>Γ<sub>9</sub> Λ(1520)π, G-wave</td><td></td></tr><tr><td>Γ<sub>10</sub> N<bar>K<sup>*</sup>(892), S=1/2, F-wave</td><td>( 5.0 ± 3.0) %</td></tr><tr><td>Γ<sub>11</sub> N<bar>K<sup>*</sup>(892), S=3/2, P-wave</td><td></td></tr><tr><td>Γ<sub>12</sub> N<bar>K<sup>*</sup>(892), S=3/2, F-wave</td><td>( 5.0 ± 2.0) %</td></tr><tr><td>Γ<sub>13</sub> ΔK, P-wave</td><td>( 16 ± 5 ) %</td></tr><tr><td>Γ<sub>14</sub> ΔK, F-wave</td><td>( 5.0 ± 3.0) %</td></tr></tbody></table>

$\Sigma(1915)$ BRANCHING RATIOS

See "Sign conventions for resonance couplings" in the Note on Λ and Σ Resonances.

$\Gamma(N\bar{K})/\Gamma_{\text{total}} \quad \Gamma_1/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05 to 0.15 OUR ESTIMATE</td><td></td><td></td><td></td></tr><tr><td>0.08 ±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td>0.026 ±0.004</td><td>ZHANG</td><td>13a</td><td>DPWA K N multichannel</td></tr><tr><td>0.03 ±0.02</td><td>1 GOPAL</td><td>80</td><td>DPWA K N → K N</td></tr><tr><td>0.14 ±0.05</td><td>ALSTON...</td><td>78</td><td>DPWA K N → K N</td></tr><tr><td>0.11 ±0.04</td><td>HEMINGWAY</td><td>75</td><td>DPWA K<sup>-</sup> p → K N</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.036</td><td>2 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr><tr><td>0.05 ±0.03</td><td>GOPAL</td><td>77</td><td>DPWA See GOPAL 80</td></tr><tr><td>0.08 or 0.08</td><td>3 MARTIN</td><td>77</td><td>DPWA K N multichannel</td></tr></tbody></table>

¹ The mass and width are fixed to the GOPAL 77 values due to the low elasticity.

² From the preferred solution A in KAMANO 15.

³ The two MARTIN 77 values are from a T-matrix pole and from a Breit-Wigner fit.

$\Gamma(\Lambda\pi)/\Gamma_{\text{total}} \quad \Gamma_2/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.06 ±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.127</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

¹ From the preferred solution A in KAMANO 15.

$\Gamma(\Sigma\pi)/\Gamma_{\text{total}} \quad \Gamma_3/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.10 ±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.678</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

¹ From the preferred solution A in KAMANO 15.

$\Gamma(\Xi K)/\Gamma_{\text{total}} \quad \Gamma_4/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

not seen 1 KAMANO 15 DPWA Multichannel

¹ From the preferred solution A in KAMANO 15.

$\Gamma(\Sigma(1385)\pi, P-wave)/\Gamma_{\text{total}} \quad \Gamma_6/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02 ±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.112</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

¹ From the preferred solution A in KAMANO 15.

$\Gamma(\Sigma(1385)\pi, F-wave)/\Gamma_{\text{total}} \quad \Gamma_7/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.04 ±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.004</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

¹ From the preferred solution A in KAMANO 15.

$\Gamma(\Lambda(1520)\pi, D-wave)/\Gamma_{\text{total}} \quad \Gamma_8/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.08±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$\Gamma(\Lambda(1520)\pi, G-wave)/\Gamma_{\text{total}} \quad \Gamma_9/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>def 0</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>
$$ \Gamma(N\bar{K}^*(892), S=1/2, F-wave)/\Gamma_{\text{total}} \quad \Gamma_{10}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05 ± 0.03</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.001</td><td>1 KAMANO</td><td>15</td><td>DPWA Multichannel</td></tr></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(N\bar{K}^*(892), S=3/2, P-wave)/\Gamma_{\text{total}} \quad \Gamma_{11}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.042</td><td>1 KAMANO</td><td>15</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(N\bar{K}^*(892), S=3/2, F-wave)/\Gamma_{\text{total}} \quad \Gamma_{12}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05 ± 0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>not seen</td><td>1 KAMANO</td><td>15</td><td>DPWA Multichannel</td></tr></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(\Delta\bar{K}, P-wave)/\Gamma_{\text{total}} \quad \Gamma_{13}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.16 ± 0.05</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \Gamma(\Delta\bar{K}, F-wave)/\Gamma_{\text{total}} \quad \Gamma_{14}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05 ± 0.03</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \text{ in } N\bar{K} \rightarrow \Sigma(1915) \rightarrow \Lambda\pi \quad (\Gamma_1\Gamma_2)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.09 ± 0.03</td><td>GOPAL</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>-0.10 ± 0.01</td><td>1 CORDEN</td><td>76</td><td>DPWA K<sup>-</sup> n → Λπ<sup>-</sup></td></tr><tr><td>-0.06 ± 0.02</td><td>BAILLON</td><td>75</td><td>IPWA K N → Λπ</td></tr><tr><td>-0.09 ± 0.02</td><td>VANHORN</td><td>75</td><td>DPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr><tr><td>-0.087 ± 0.056</td><td>DEVENISH</td><td>74B</td><td>Fixed-t dispersion rel.</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>-0.09 or -0.09</td><td>2 MARTIN</td><td>77</td><td>DPWA K N multichannel</td></tr></table>

<table><tr><td>-0.10</td><td>DEBELLEFON</td><td>76</td><td>IPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr></table>

¹ Preferred solution 3; see CORDEN 76 for other possibilities.

² The two MARTIN 77 values are from a T-matrix pole and from a Breit-Wigner fit.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \text{ in } N\bar{K} \rightarrow \Sigma(1915) \rightarrow \Sigma\pi \quad (\Gamma_1\Gamma_3)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.14 ± 0.01</td><td>ZHANG</td><td>13A</td><td>DPWA Multichannel</td></tr><tr><td>-0.17 ± 0.01</td><td>1 CORDEN</td><td>77C</td><td>K<sup>-</sup> n → Σπ</td></tr><tr><td>-0.15 ± 0.02</td><td>1 CORDEN</td><td>77C</td><td>K<sup>-</sup> n → Σπ</td></tr><tr><td>-0.19 ± 0.03</td><td>GOPAL</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>-0.16 ± 0.03</td><td>KANE</td><td>74</td><td>DPWA K<sup>-</sup> p → Σπ</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>-0.05 or -0.05</td><td>2 MARTIN</td><td>77</td><td>DPWA K N multichannel</td></tr></table>

¹ The two entries for CORDEN 77C are from two different acceptable solutions.

² The two MARTIN 77 values are from a T-matrix pole and from a Breit-Wigner fit.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \text{ in } N\bar{K} \rightarrow \Sigma(1915) \rightarrow \Sigma(1385)\pi, P-wave \quad (\Gamma_1\Gamma_6)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.01</td><td>CAMERON</td><td>78</td><td>DPWA K<sup>-</sup> p → Σ(1385)π</td></tr></tbody></table>

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \text{ in } N\bar{K} \rightarrow \Sigma(1915) \rightarrow \Sigma(1385)\pi, F-wave \quad (\Gamma_1\Gamma_7)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.06 ± 0.02</td><td>ZHANG</td><td>13A</td><td>DPWA Multichannel</td></tr><tr><td>+0.039 ± 0.009</td><td>1 CAMERON</td><td>78</td><td>DPWA K<sup>-</sup> p → Σ(1385)π</td></tr></tbody></table>

¹ The published sign has been changed to be in accord with the baryon-first convention.

## Σ(1915) REFERENCES

<table><tr><td>SARANTSEV</td><td>19</td><td>EPJ A55 180</td><td>A.V. Sarantsev et al.</td><td>(BONN, PNPI)</td></tr><tr><td>KAMANO</td><td>15</td><td>PR C92 025205</td><td>H. Kamano et al.</td><td>(ANL, OSAK)</td></tr><tr><td>ZHANG</td><td>13A</td><td>PR C88 035205</td><td>H. Zhang et al.</td><td>(KSU)</td></tr><tr><td>PDG</td><td>86</td><td>PL 170B 1</td><td>M. Aguilar-Benitez et al.</td><td>(CERN, CIT+)</td></tr><tr><td>PDG</td><td>82</td><td>PL 111B 1</td><td>M. Roos et al.</td><td>(HELS, CIT, CERN)</td></tr><tr><td>GOPAL</td><td>80</td><td>Toronto Conf. 159</td><td>G.P. Gopal et al.</td><td>(RHEL) UP</td></tr><tr><td>ALSTON...</td><td>78</td><td>PR D18 182</td><td>M. Alston-Garnjost et al.</td><td>(LBL, MTHO+) UP</td></tr><tr><td>Also</td><td>78</td><td>PRL 38 1007</td><td>M. Alston-Garnjost et al.</td><td>(LBL, MTHO+) UP</td></tr><tr><td>CAMERON</td><td>78</td><td>NP B143 189</td><td>W. Cameron et al.</td><td>(RHEL, LOIC) UP</td></tr><tr><td>CORDEN</td><td>77C</td><td>NP B125 61</td><td>M.J. Corden et al.</td><td>(BIRM) UP</td></tr><tr><td>DECLAIS</td><td>77</td><td>CERN 77-16</td><td>Y. Declais et al.</td><td>(CAEN, CERN) UP</td></tr><tr><td>GOPAL</td><td>77</td><td>NP B119 362</td><td>G.P. Gopal et al.</td><td>(LOIC, RHEL) UP</td></tr><tr><td>MARTIN</td><td>77</td><td>NP B127 349</td><td>B.R. Martin, M.K. Pidcock, R.G. Moorhouse (LOUC+) UP</td><td></td></tr><tr><td>Also</td><td>77</td><td>NP B126 266</td><td>B.R. Martin, M.K. Pidcock</td><td>(LOUC)</td></tr><tr><td>Also</td><td>77</td><td>NP B126 285</td><td>B.R. Martin, M.K. Pidcock</td><td>(LOUC) UP</td></tr><tr><td>CORDEN</td><td>76</td><td>NP B104 382</td><td>M.J. Corden et al.</td><td>(BIRM) UP</td></tr><tr><td>DEBELLEFON</td><td>76</td><td>NP B109 129</td><td>A. de Bellefon, A. Berthon</td><td>(CDEF) UP</td></tr><tr><td>BAILLON</td><td>75</td><td>NP B94 39</td><td>P.H. Baillon, P.J. Litchfield (CERN, RHEL) UP</td><td></td></tr><tr><td>HEMINGWAY</td><td>75</td><td>NP B91 12</td><td>R.J. Hemingway et al.</td><td>(CERN, HEIDH, MPIM) UP</td></tr><tr><td>VANHORN</td><td>75</td><td>NP B87 145</td><td>A.J. van Horn</td><td>(LBL) UP</td></tr><tr><td>Also</td><td>75</td><td>NP B87 157</td><td>A.J. van Horn</td><td>(LBL) UP</td></tr><tr><td>DEVENISH</td><td>74B</td><td>NP B81 330</td><td>R.C.E. Devenish, C.D. Froggatt, B.R. Martin (DESY+)</td><td></td></tr><tr><td>KANE</td><td>74</td><td>LBL-2452</td><td>D.F. Kane</td><td>(LBL) UP</td></tr><tr><td>COOL</td><td>66</td><td>PRL 16 1228</td><td>R.L. Cool et al.</td><td>(BNL)</td></tr></table>

$$ \Sigma(1940) 3/2^{+} $$

$$ I(J^P) = 1(\frac{3}{2}^{-}) \text{ Status: } * $$

OMITTED FROM SUMMARY TABLE

## Σ(1940) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">1920 to 1960 (≈ 1940) OUR ESTIMATE</td></tr><tr><td>1941 ± 18</td><td>ZHANG</td><td>13A</td><td>DPWA K N multichannel</td></tr><tr><td>1925 ± 200</td><td>VANHORN</td><td>75</td><td>DPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr></tbody></table>

## Σ(1940) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">100 to 400 (≈ 250) OUR ESTIMATE</td></tr><tr><td>400 ± 49</td><td>ZHANG</td><td>13A</td><td>DPWA K N multichannel</td></tr><tr><td>65 ± 50/20</td><td>VANHORN</td><td>75</td><td>DPWA K<sup>-</sup> p → Λπ<sup>0</sup></td></tr></tbody></table>

## Σ(1940) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> N<sub>K</sub></td><td>(13.0 ± 2.0) %</td></tr><tr><td>Γ<sub>2</sub> Σπ</td><td>( 4.0 ± 2.0) %</td></tr><tr><td>Γ<sub>3</sub> Σ(1385)π, P-wave</td><td>( 22 ± 7 ) %</td></tr><tr><td>Γ<sub>4</sub> Λ(1520)π, S-wave</td><td>( 5.0 ± 2.0) %</td></tr></tbody></table>

## Σ(1940) BRANCHING RATIOS

<table><thead><tr><th>Γ(NK)/Γ<sub>total</sub></th><th>Γ<sub>1</sub>/Γ</th></tr></thead><tbody><tr><td>0.13 ± 0.02</td><td>ZHANG 13A DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Σπ)/Γ<sub>total</sub></th><th>Γ<sub>2</sub>/Γ</th></tr></thead><tbody><tr><td>0.04 ± 0.02</td><td>ZHANG 13A DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Σ(1385)π, P-wave)/Γ<sub>total</sub></th><th>Γ<sub>3</sub>/Γ</th></tr></thead><tbody><tr><td>0.22 ± 0.07</td><td>ZHANG 13A DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Λ(1520)π, S-wave)/Γ<sub>total</sub></th><th>Γ<sub>4</sub>/Γ</th></tr></thead><tbody><tr><td>0.05 ± 0.02</td><td>ZHANG 13A DPWA K N multichannel</td></tr></tbody></table>

## Σ(1940) REFERENCES

<table><tr><td>ZHANG</td><td>13A</td><td>PR C88 035205</td><td>H. Zhang et al.</td><td>(KSU)</td></tr><tr><td>VANHORN</td><td>75</td><td>NP B87 145</td><td>A.J. van Horn</td><td>(LBL)</td></tr></table>

$$ \Sigma(2010) 3/2^{-} $$

$$ I(J^P) = 1(\frac{3}{2}^{-}) \text{ Status: } * $$

OMITTED FROM SUMMARY TABLE
was Σ(2000)

## Σ(2010) POLE POSITION

<table><thead><tr><th>REAL PART</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1995 ± 12</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>-2×IMAGINARY PART</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>175 ± 24</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

## Σ(2010) POLE RESIDUES

The normalized residue is the residue divided by $Γ_{pole}/2$.

<table><thead><tr><th colspan="2">Normalized residue in N<bar>K> → Σ(2010) → N<bar>K</th><th></th><th></th></tr><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.07 ± 0.03</td><td>-115 ± 25</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th colspan="2">Normalized residue in N<bar>K> → Σ(2010) → Σπ</th><th></th><th></th></tr><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.04 ± 0.02</td><td>130 ± 22</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th colspan="2">Normalized residue in N<bar>K> → Σ(2010) → Λπ</th><th></th><th></th></tr><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.06 ± 0.03</td><td>170 ± 25</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>
$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to \Xi K $$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.04±0.02</td><td>-120 ± 45</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to \Lambda(1520)\pi, P\text{-wave} $$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.03±0.02</td><td>80 ± 35</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to \Lambda(1520)\pi, F\text{-wave} $$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.08±0.05</td><td>150 ± 65</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to \Sigma(1385)\pi, P\text{-wave} $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.04+0.02@25+45</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to \Sigma(1385)\pi, F\text{-wave} $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to \Delta K, S\text{-wave} $$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.08±0.04</td><td>0 ± 30</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to \Delta K, D\text{-wave} $$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.02±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to N\bar{K}^*(892), S\text{-wave} $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.12+0.03@60+60</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to N\bar{K}^*(892), S=1/2, D\text{-wave} $$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.08±0.04</td><td>55 ± 60</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2010) \to N\bar{K}^*(892), S=3/2, D\text{-wave} $$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th></tr></thead><tbody><tr><td>0.08±0.04</td><td>15 ± 60</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

### Σ(2010) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2005±14</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

### Σ(2010) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>178±23</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

### Σ(2010) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> N K</td><td>( 7.0±3.0 ) %</td></tr><tr><td>Γ<sub>2</sub> Λ π</td><td>( 5.0±2.0 ) %</td></tr><tr><td>Γ<sub>3</sub> Σ π</td><td>( 3.0±2.0 ) %</td></tr><tr><td>Γ<sub>4</sub> Ξ K</td><td>( 3.0±2.0 ) %</td></tr><tr><td>Γ<sub>5</sub> Σ(1385) π, P-wave</td><td>( 3.0±2.0 ) %</td></tr><tr><td>Γ<sub>6</sub> Σ(1385) π, F-wave</td><td>( 2.0±2.0 ) %</td></tr><tr><td>Γ<sub>7</sub> Λ(1520) π, P-wave</td><td>( 2.0±2.0 ) %</td></tr><tr><td>Γ<sub>8</sub> Λ(1520) π, F-wave</td><td>(12 ± 6 ) %</td></tr><tr><td>Γ<sub>9</sub> Δ K, S-wave</td><td>(11 ± 5 ) %</td></tr><tr><td>Γ<sub>10</sub> Δ K, D-wave</td><td>( 1.0±1.0 ) %</td></tr><tr><td>Γ<sub>11</sub> N K<sup>*</sup>(892), S=1/2, S-wave</td><td>(27 ± 7 ) %</td></tr><tr><td>Γ<sub>12</sub> N K<sup>*</sup>(892), S=1/2, D-wave</td><td>(13 ± 6 ) %</td></tr><tr><td>Γ<sub>13</sub> N K<sup>*</sup>(892), S=3/2, D-wave</td><td>(13 ± 6 ) %</td></tr></tbody></table>

### Σ(2010) BRANCHING RATIOS

See “Sign conventions for resonance couplings” in the Note on Λ and Σ Resonances.

<table><thead><tr><th>Γ(NK)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.07±0.03</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Λπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Σπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(ΞK)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Σ(1385)π, P-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Σ(1385)π, F-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Λ(1520)π, P-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Λ(1520)π, F-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.12±0.06</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(ΔK, S-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.11±0.05</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(ΔK, D-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.01±0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(NK<sup>*</sup>(892), S=1/2, S-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.27±0.07</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(NK<sup>*</sup>(892), S=1/2, D-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.13±0.06</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(NK<sup>*</sup>(892), S=3/2, D-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.13±0.06</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

### Σ(2010) REFERENCES

SARANTSEV 19 EPJ A55 180

A.V. Sarantsev et al.

(BONN, PNPI)

$$ \Sigma(2030) 7/2^+ $$

$$ I(J^P) = 1(\frac{1}{2}^+) \text{ Status: } **** $$

Discovered by COOL 66 and by WOHL 66. For most results published before 1974 (they are now obsolete), see our 1982 edition Physics Letters **111B** 1 (1982).

This entry only includes results from partial-wave analyses. Parameters of peaks seen in cross sections and invariant-mass distributions around 2030 MeV may be found in our 1984 edition, Reviews of Modern Physics **56** S1 (1984).

### Σ(2030) POLE POSITION

#### REAL PART

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>2010 to 2030 (≈ 2020) OUR ESTIMATE</strong></td></tr><tr><td>2014 ± 6</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td>2025<sup>+10</sup><sub>-5</sub></td><td><sup>1</sup>KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>1993</td><td>ZHANG</td><td>13A</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup>From the preferred solution A in KAMANO 15.</td></tr></tbody></table>

#### -2×IMAGINARY PART

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>130 to 190 (≈ 160) OUR ESTIMATE</strong></td></tr><tr><td>172±12</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td>130<sup>+6</sup><sub>-24</sub></td><td><sup>1</sup>KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>176</td><td>ZHANG</td><td>13A</td><td>DPWA K N multichannel</td></tr><tr><td colspan="4"><sup>1</sup>From the preferred solution A in KAMANO 15.</td></tr></tbody></table>

### Σ(2030) POLE RESIDUES

The normalized residue is the residue divided by $Γ_{pole}/2$.

$$ \text{Normalized residue in } N\bar{K} \to \Sigma(2030) \to N\bar{K} $$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.20 ± 0.04</td><td>-38 ± 8</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.220</td><td>-38</td><td><sup>1</sup>KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></tbody></table>

1 From the preferred solution A in KAMANO 15.
Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Sigma\pi$

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.07 \pm 0.02 \quad 165 \pm 12$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

• • • We do not use the following data for averages, fits, limits, etc.

1

• • •

$$0.0807 \quad 135$$

1 KAMANO

15

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Lambda\pi$

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.18 \pm 0.04 \quad -22 \pm 12$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

• • • We do not use the following data for averages, fits, limits, etc.

1

• • •

$$0.138 \quad -24$$

1 KAMANO

15

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Xi K$

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.01 \pm 0.01$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

• • • We do not use the following data for averages, fits, limits, etc.

1

• • •

$$0.0348 \quad 129$$

1 KAMANO

15

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Sigma(1385)\pi, F$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.04 \pm 0.03$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

• • • We do not use the following data for averages, fits, limits, etc.

1

• • •

$$0.089 \quad -23$$

1 KAMANO

15

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Sigma(1385)\pi, H$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

• • • We do not use the following data for averages, fits, limits, etc.

1

• • •

$$0.0245 \quad 132$$

1 KAMANO

15

DPWA

Multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Lambda(1520)\pi, D$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.03 \pm 0.02$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Lambda(1520)\pi, G$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.02 \pm 0.02$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Delta K, F$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.16 \pm 0.06 \quad -130 \pm 20$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to \Delta K, H$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.04 \pm 0.02$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to N\bar{K}^*(892), S=1/2, F$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.02 \pm 0.02$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

• • • We do not use the following data for averages, fits, limits, etc.

1

• • •

$$0.193 \quad 38$$

1 KAMANO

15

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to N\bar{K}^*(892), S=3/2, F$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

$$0.16 \pm 0.09 \quad -160 \pm 40$$

SARANTSEV

19

DPWA

$\bar{K}N$ multichannel

• • • We do not use the following data for averages, fits, limits, etc.

1

• • •

$$0.320 \quad 37$$

1 KAMANO

15

DPWA

$\bar{K}N$ multichannel

Normalized residue in $N\bar{K} \to \Sigma(2030) \to N\bar{K}^*(892), S=3/2, H$-wave

MODULUS PHASE (°)

DOCUMENT ID

TECN

COMMENT

• • • We do not use the following data for averages, fits, limits, etc.

1

• • •

$$0.00358 \quad 22$$

1 KAMANO

15

DPWA

Multichannel

Σ(2030) MASS

VALUE (MeV)

DOCUMENT ID

TECN

COMMENT

2025 to 2040 (≈ 2030) OUR ESTIMATE

<table><tr><td>2032 ± 6</td><td>SARANTSEV</td><td>19</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>2030 ± 5</td><td>ZHANG</td><td>13A</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>2036 ± 5</td><td>GOPAL</td><td>80</td><td>DPWA</td><td>$\bar{K}N \to \bar{K}N$</td></tr><tr><td>2038 ± 10</td><td>CORDEN</td><td>77B</td><td>$\bar{K}N \to N\bar{K}^*$</td></tr><tr><td>2030 ± 3</td><td>1 CORDEN</td><td>76</td><td>DPWA</td><td>$\bar{K}N \to \Lambda\pi^-$</td></tr><tr><td>2035 ± 15</td><td>BAILLON</td><td>75</td><td>IPWA</td><td>$\bar{K}N \to \Lambda\pi$</td></tr><tr><td>2038 ± 10</td><td>HEMINGWAY</td><td>75</td><td>DPWA</td><td>$\bar{K}N \to \bar{K}N$</td></tr><tr><td>2042 ± 11</td><td>VANHORN</td><td>75</td><td>DPWA</td><td>$\bar{K}N \to \Lambda\pi^0$</td></tr><tr><td>2020 ± 6</td><td>KANE</td><td>74</td><td>DPWA</td><td>$\bar{K}N \to \Sigma\pi$</td></tr><tr><td>2035 ± 10</td><td>LITCHFIELD</td><td>74B</td><td>DPWA</td><td>$\bar{K}N \to \Lambda(1520)\pi^0$</td></tr><tr><td>2020 ± 30</td><td>LITCHFIELD</td><td>74C</td><td>DPWA</td><td>$\bar{K}N \to \Delta(1232)\bar{K}$</td></tr><tr><td>2025 ± 10</td><td>LITCHFIELD</td><td>74D</td><td>DPWA</td><td>$\bar{K}N \to \Lambda(1820)\pi^0$</td></tr></table>

• • • We do not use the following data for averages, fits, limits, etc.

$$2040 \pm 5 \quad \text{GOPAL} \quad 77 \quad \text{DPWA} \quad \bar{K}N \text{ multichannel}$$

$$2027 \text{ to } 2057 \quad \text{GOYAL} \quad 77 \quad \text{DPWA} \quad \bar{K}N \to \Sigma\pi$$

$$2030 \quad \text{DEBELLEFON} \quad 76 \quad \text{IPWA} \quad \bar{K}N \to \Lambda\pi^0$$

Σ(2030) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>150 to 200 (≈ 180) OUR ESTIMATE</strong></td></tr><tr><td>177 ± 12</td><td>SARANTSEV</td><td>19</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>207 ± 17</td><td>ZHANG</td><td>13A</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>172 ± 10</td><td>GOPAL</td><td>80</td><td>DPWA</td><td>$\bar{K}N \to \bar{K}N$</td></tr><tr><td>137 ± 40</td><td>CORDEN</td><td>77B</td><td>$\bar{K}N \to N\bar{K}^*$</td></tr><tr><td>201 ± 9</td><td>1 CORDEN</td><td>76</td><td>DPWA</td><td>$\bar{K}N \to \Lambda\pi^-$</td></tr><tr><td>180 ± 20</td><td>BAILLON</td><td>75</td><td>IPWA</td><td>$\bar{K}N \to \Lambda\pi$</td></tr><tr><td>172 ± 15</td><td>HEMINGWAY</td><td>75</td><td>DPWA</td><td>$\bar{K}N \to \Lambda\pi^0$</td></tr><tr><td>178 ± 13</td><td>VANHORN</td><td>75</td><td>DPWA</td><td>$\bar{K}N \to \Lambda\pi^0$</td></tr><tr><td>111 ± 5</td><td>KANE</td><td>74</td><td>DPWA</td><td>$\bar{K}N \to \Sigma\pi$</td></tr><tr><td>160 ± 20</td><td>LITCHFIELD</td><td>74B</td><td>DPWA</td><td>$\bar{K}N \to \Lambda(1520)\pi^0$</td></tr><tr><td>200 ± 30</td><td>LITCHFIELD</td><td>74C</td><td>DPWA</td><td>$\bar{K}N \to \Delta(1232)\bar{K}$</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.

<table><tr><td>260</td><td>DECLAIS</td><td>77</td><td>DPWA</td><td>$\bar{K}N \to \bar{K}N$</td></tr><tr><td>190 ± 10</td><td>GOPAL</td><td>77</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>126 to 195</td><td>GOYAL</td><td>77</td><td>DPWA</td><td>$\bar{K}N \to \Sigma\pi$</td></tr><tr><td>160</td><td>DEBELLEFON</td><td>76</td><td>IPWA</td><td>$\bar{K}N \to \Lambda\pi^0$</td></tr><tr><td>70 to 125</td><td>LITCHFIELD</td><td>74D</td><td>DPWA</td><td>$\bar{K}N \to \Lambda(1820)\pi^0$</td></tr></table>

Σ(2030) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> N<span style="text-decoration: overline">K</span></td><td>17-23 %</td></tr><tr><td>Γ<sub>2</sub> Λπ</td><td>17-23 %</td></tr><tr><td>Γ<sub>3</sub> Σπ</td><td>5-10 %</td></tr><tr><td>Γ<sub>4</sub> ΞK</td><td>&lt;2 %</td></tr><tr><td>Γ<sub>5</sub> Σ(1385)π</td><td>5-15 %</td></tr><tr><td>Γ<sub>6</sub> Σ(1385)π, F-wave</td><td>(1.0 ± 1.0) %</td></tr><tr><td>Γ<sub>7</sub> Σ(1385)π, H-wave</td><td></td></tr><tr><td>Γ<sub>8</sub> Λ(1520)π</td><td>10-20 %</td></tr><tr><td>Γ<sub>9</sub> Λ(1520)π, D-wave</td><td></td></tr><tr><td>Γ<sub>10</sub> Λ(1520)π, G-wave</td><td></td></tr><tr><td>Γ<sub>11</sub> Δ(1232)K</td><td>10-20 %</td></tr><tr><td>Γ<sub>12</sub> Δ(1232)K, F-wave</td><td>(15 ± 5) %</td></tr><tr><td>Γ<sub>13</sub> Δ(1232)K, H-wave</td><td>(1.0 ± 1.0) %</td></tr><tr><td>Γ<sub>14</sub> N<span style="text-decoration: overline">K</span><sup>*</sup>(892)</td><td></td></tr><tr><td>Γ<sub>15</sub> N<span style="text-decoration: overline">K</span><sup>*</sup>(892), S=1/2, F-wave</td><td></td></tr><tr><td>Γ<sub>16</sub> N<span style="text-decoration: overline">K</span><sup>*</sup>(892), S=3/2, F-wave</td><td>(14 ± 8) %</td></tr><tr><td>Γ<sub>17</sub> N<span style="text-decoration: overline">K</span><sup>*</sup>(892), S=3/2, H-wave</td><td></td></tr><tr><td>Γ<sub>18</sub> Λ(1820)π, P-wave</td><td></td></tr></tbody></table>

Σ(2030) BRANCHING RATIOS

See "Sign conventions for resonance couplings" in the Note on Λ and Σ Resonances.

Γ($N\bar{K}$)/Γ<sub>total</sub> Γ<sub>1</sub>/Γ

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.17 to 0.23 OUR ESTIMATE</td><td></td><td></td><td></td></tr><tr><td>0.20 ± 0.04</td><td>SARANTSEV</td><td>19</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>0.13 ± 0.01</td><td>ZHANG</td><td>13A</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>0.19 ± 0.03</td><td>GOPAL</td><td>80</td><td>DPWA</td><td>$\bar{K}N \to \bar{K}N$</td></tr><tr><td>0.18 ± 0.03</td><td>HEMINGWAY</td><td>75</td><td>DPWA</td><td>$\bar{K}N \to \bar{K}N$</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.

$$0.269 \quad 1 \text{ KAMANO} \quad 15 \quad \text{DPWA} \quad \text{Multichannel}$$

$$0.15 \quad \text{DECLAIS} \quad 77 \quad \text{DPWA} \quad \bar{K}N \to \bar{K}N$$

$$0.24 \pm 0.02 \quad \text{GOPAL} \quad 77 \quad \text{DPWA} \quad \text{See GOPAL 80}$$

Γ($\Lambda\pi$)/Γ<sub>total</sub> Γ<sub>2</sub>/Γ

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.17 ± 0.04</td><td>SARANTSEV</td><td>19</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>0.080</td><td>1 KAMANO</td><td>15</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr></tbody></table>

Γ($\Sigma\pi$)/Γ<sub>total</sub> Γ<sub>3</sub>/Γ

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.025 ± 0.008</td><td>SARANTSEV</td><td>19</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr><tr><td>0.037</td><td>1 KAMANO</td><td>15</td><td>DPWA</td><td>$\bar{K}N$ multichannel</td></tr></tbody></table>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ Preferred solution 3; see CORDEN 76 for other possibilities.</footnote>

<footnote n="1">¹ Preferred solution 3; see CORDEN 76 for other possibilities.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>

<footnote n="1">¹ From the preferred solution A in KAMANO 15.</footnote>
$$ \Gamma(\Xi K)/\Gamma_{\text{total}} \qquad \Gamma_4/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.006</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(\Lambda(1520)\pi, D\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_9/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>~ 0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \Gamma(\Lambda(1520)\pi, G\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_{10}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \Gamma(\Sigma(1385)\pi, F\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_6/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.01 ± 0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.030</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(\Sigma(1385)\pi, H\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_7/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td></td><td></td><td></td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.003</td><td>1 KAMANO</td><td>15</td><td>DPWA Multichannel</td></tr></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(\Delta(1232)\bar{K}, F\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_{12}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.15 ± 0.05</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \Gamma(\Delta(1232)\bar{K}, H\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_{13}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.01 ± 0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

$$ \Gamma(\bar{N}\bar{K}^*(892), S=1/2, F\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_{15}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.154</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(\bar{N}\bar{K}^*(892), S=3/2, F\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_{16}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.14 ± 0.08</td><td>SARANTSEV</td><td>19</td><td>DPWA K N multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.422</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(\bar{N}\bar{K}^*(892), S=3/2, H\text{-wave})/\Gamma_{\text{total}} \qquad \Gamma_{17}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td></td><td></td><td></td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>not seen</td><td>1 KAMANO</td><td>15</td><td>DPWA K N multichannel</td></tr></table>

¹ From the preferred solution A in KAMANO 15.

$$ \Gamma(\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(\Gamma_1\Gamma_2)^{1/2}/\Gamma \qquad \Gamma(\Gamma_1\Gamma_3)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.15 ± 0.01</td><td>ZHANG</td><td>13A</td><td>DPWA Multichannel</td></tr><tr><td>+0.18 ± 0.02</td><td>GOPAL</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>+0.20 ± 0.01</td><td>1 CORDEN</td><td>76</td><td>DPWA K<sup>-</sup> n → Λ<sup>π</sup><sup>-</sup></td></tr><tr><td>+0.18 ± 0.02</td><td>BAILLON</td><td>75</td><td>IPWA K N → Λ<sup>π</sup></td></tr><tr><td>+0.20 ± 0.01</td><td>VANHORN</td><td>75</td><td>DPWA K<sup>-</sup> p → Λ<sup>π</sup><sup>0</sup></td></tr><tr><td>+0.195 ± 0.053</td><td>DEVENISH</td><td>74B</td><td>Fixed-t dispersion rel.</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.20</td><td>DEBELLEFON</td><td>76</td><td>IPWA K<sup>-</sup> p → Λ<sup>π</sup><sup>0</sup></td></tr></table>

¹ Preferred solution 3; see CORDEN 76 for other possibilities.

$$ \Gamma(\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(\Gamma_1\Gamma_3)^{1/2}/\Gamma \qquad \Gamma(\Gamma_1\Gamma_4)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.08 ± 0.01</td><td>ZHANG</td><td>13A</td><td>DPWA Multichannel</td></tr><tr><td>-0.09 ± 0.01</td><td>1 CORDEN</td><td>77C</td><td>K<sup>-</sup> n → Σ<sup>π</sup></td></tr><tr><td>-0.06 ± 0.01</td><td>1 CORDEN</td><td>77C</td><td>K<sup>-</sup> n → Σ<sup>π</sup></td></tr><tr><td>-0.15 ± 0.03</td><td>GOPAL</td><td>77</td><td>DPWA K N multichannel</td></tr><tr><td>-0.10 ± 0.01</td><td>KANE</td><td>74</td><td>DPWA K<sup>-</sup> p → Σ<sup>π</sup></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>-0.085 ± 0.02</td><td>2 GOYAL</td><td>77</td><td>DPWA K<sup>-</sup> N → Σ<sup>π</sup></td></tr></table>

¹ The two entries for CORDEN 77C are from two different acceptable solutions.

² This coupling is extracted from unnormalized data.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow \Xi K \qquad \Gamma(\Gamma_1\Gamma_4)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.023</td><td>MULLER</td><td>69B</td><td>DPWA K<sup>-</sup> p → Ξ K</td></tr><tr><td>&lt;0.05</td><td>BURGUN</td><td>68</td><td>DPWA K<sup>-</sup> p → Ξ K</td></tr><tr><td>&lt;0.05</td><td>TRIPP</td><td>67</td><td>RVUE K<sup>-</sup> p → Ξ K</td></tr></tbody></table>

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow \Sigma(1385)\pi, F\text{-wave} \qquad \Gamma(\Gamma_1\Gamma_6)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.16 ± 0.01</td><td>ZHANG</td><td>13A</td><td>DPWA Multichannel</td></tr><tr><td>+0.153 ± 0.026</td><td>1 CAMERON</td><td>78</td><td>DPWA K<sup>-</sup> p → Σ(1385)π</td></tr></tbody></table>

¹ The published sign has been changed to be in accord with the baryon-first convention.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow \Lambda(1520)\pi, D\text{-wave} \qquad \Gamma(\Gamma_1\Gamma_9)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.114 ± 0.010</td><td>1 CAMERON</td><td>77</td><td>DPWA K<sup>-</sup> p → Λ(1520) π<sup>0</sup></td></tr><tr><td>0.14 ± 0.03</td><td>LITCHFIELD</td><td>74B</td><td>DPWA K<sup>-</sup> p → Λ(1520) π<sup>0</sup></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.10 ± 0.03</td><td>2 CORDEN</td><td>75B</td><td>DBC K<sup>-</sup> n → N K<sup>-</sup> π<sup>-</sup></td></tr></table>

¹ The published sign has been changed to be in accord with the baryon-first convention.

² An upper limit.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow \Lambda(1520)\pi, G\text{-wave} \qquad \Gamma(\Gamma_1\Gamma_{10})^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.146 ± 0.010</td><td>1 CAMERON</td><td>77</td><td>DPWA K<sup>-</sup> p → Λ(1520) π<sup>0</sup></td></tr><tr><td>0.02 ± 0.02</td><td>LITCHFIELD</td><td>74B</td><td>DPWA K<sup>-</sup> p → Λ(1520) π<sup>0</sup></td></tr></tbody></table>

¹ The published sign has been changed to be in accord with the baryon-first convention.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow \Delta(1232)\bar{K}, F\text{-wave} \qquad \Gamma(\Gamma_1\Gamma_{12})^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.12 ± 0.02</td><td>ZHANG</td><td>13A</td><td>DPWA Multichannel</td></tr><tr><td>0.16 ± 0.03</td><td>LITCHFIELD</td><td>74C</td><td>DPWA K<sup>-</sup> p → Δ(1232) K</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.17 ± 0.03</td><td>1 CORDEN</td><td>75B</td><td>DBC K<sup>-</sup> n → N K<sup>-</sup> π<sup>-</sup></td></tr></table>

¹ An upper limit.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow \Delta(1232)\bar{K}, H\text{-wave} \qquad \Gamma(\Gamma_1\Gamma_{13})^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.00 ± 0.02</td><td>LITCHFIELD</td><td>74C</td><td>DPWA K<sup>-</sup> p → Δ(1232) K</td></tr></tbody></table>

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow N\bar{K}^*(892), S=1/2, F\text{-wave} \qquad \Gamma(\Gamma_1\Gamma_{15})^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.06 ± 0.02</td><td>ZHANG</td><td>13A</td><td>DPWA Multichannel</td></tr><tr><td>+0.06 ± 0.03</td><td>1 CAMERON</td><td>78B</td><td>DPWA K<sup>-</sup> p → N K<sup>-</sup> π<sup>*</sup></td></tr><tr><td>-0.02 ± 0.01</td><td>CORDEN</td><td>77B</td><td>K<sup>-</sup> d → N N K<sup>-</sup> π<sup>*</sup></td></tr></tbody></table>

¹ The published sign has been changed to be in accord with the baryon-first convention.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow N\bar{K}^*(892), S=3/2, F\text{-wave} \qquad \Gamma(\Gamma_1\Gamma_{16})^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.05 ± 0.01</td><td>ZHANG</td><td>13A</td><td>DPWA Multichannel</td></tr><tr><td>+0.04 ± 0.03</td><td>1 CAMERON</td><td>78B</td><td>DPWA K<sup>-</sup> p → N K<sup>-</sup> π<sup>*</sup></td></tr><tr><td>-0.12 ± 0.02</td><td>CORDEN</td><td>77B</td><td>K<sup>-</sup> d → N N K<sup>-</sup> π<sup>*</sup></td></tr></tbody></table>

¹ The upper limit on the $G_3$ wave is 0.03.

$$ (\Gamma_1\Gamma_f)^{1/2}/\Gamma_{\text{total}} \quad \Gamma(2030) \rightarrow \Lambda(1820)\pi, P\text{-wave} \qquad \Gamma(\Gamma_1\Gamma_{18})^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.14 ± 0.02</td><td>CORDEN</td><td>75B</td><td>DBC K<sup>-</sup> n → N K<sup>-</sup> π<sup>-</sup></td></tr><tr><td>0.18 ± 0.04</td><td>LITCHFIELD</td><td>74D</td><td>DPWA K<sup>-</sup> p → Λ(1820) π<sup>0</sup></td></tr></tbody></table>

## Σ(2030) REFERENCES

<table><tr><td>SARANTSEV</td><td>19</td><td>EPJ A55</td><td>180</td><td>A.V. Sarantsev et al.</td><td>(BONN, PNPI)</td></tr><tr><td>KAMANO</td><td>15</td><td>PR C92</td><td>025205</td><td>H. Kamano et al.</td><td>(ANL, OSAK)</td></tr><tr><td>ZHANG</td><td>13A</td><td>PR C88</td><td>035205</td><td>H. Zhang et al.</td><td>(KSU)</td></tr><tr><td>PDG</td><td>84</td><td>RMP</td><td>56 S1</td><td>C.G. Wohl et al.</td><td>(LBL, CIT, CERN)</td></tr><tr><td>PDG</td><td>82</td><td>PL 111B 1</td><td></td><td>M. Roos et al.</td><td>(HELS, CIT, CERN)</td></tr><tr><td>GOPAL</td><td>80</td><td>Toronto Conf.</td><td>159</td><td>G.P. Gopal</td><td>(RHEL, RHEL) UP</td></tr><tr><td>CAMERON</td><td>78</td><td>NP B143</td><td>189</td><td>W. Cameron et al.</td><td>(RHEL, LOIC) UP</td></tr><tr><td>CAMERON</td><td>78B</td><td>NP B146</td><td>327</td><td>W. Cameron et al.</td><td>(RHEL, LOIC) UP</td></tr><tr><td>CAMERON</td><td>77</td><td>NP B131</td><td>399</td><td>W. Cameron et al.</td><td>(RHEL, LOIC) UP</td></tr><tr><td>CORDEN</td><td>77B</td><td>NP B121</td><td>365</td><td>M.J. Corden et al.</td><td>(BIRM) UP</td></tr><tr><td>CORDEN</td><td>77C</td><td>NP B125</td><td>61</td><td>M.J. Corden et al.</td><td>(BIRM) UP</td></tr><tr><td>DECLAIS</td><td>77</td><td>CERN</td><td>77-16</td><td>Y. Declais et al.</td><td>(CAEN, CERN) UP</td></tr><tr><td>GOPAL</td><td>77</td><td>NP B119</td><td>362</td><td>G.P. Gopal et al.</td><td>(LOIC, RHEL) UP</td></tr><tr><td>GOYAL</td><td>77</td><td>PR D16</td><td>2746</td><td>D.P. Goyal, A.V. Sodhi</td><td>(DEHL) UP</td></tr><tr><td>CORDEN</td><td>76</td><td>NP B104</td><td>382</td><td>M.J. Corden et al.</td><td>(BIRM) UP</td></tr><tr><td>DEBELLEFON</td><td>76</td><td>NP B109</td><td>129</td><td>A. de Bellefont, A. Berthon</td><td>(CDEF) UP</td></tr><tr><td>BAILLON</td><td>75</td><td>NP B94</td><td>39</td><td>P.H. Baillon, P.J. Litchfield</td><td>(CERN, RHEL) UP</td></tr><tr><td>CORDEN</td><td>75B</td><td>NP B92</td><td>365</td><td>M.J. Corden et al.</td><td>(BIRM) UP</td></tr><tr><td>HEMINGWAY</td><td>75</td><td>NP B91</td><td>12</td><td>R.J. Hemingway et al.</td><td>(CERN, HEIDH, MPIM) UP</td></tr><tr><td>VanHORN</td><td>75</td><td>NP B87</td><td>145</td><td>A.J. van Horn</td><td>(LBL) UP</td></tr><tr><td>Also</td><td></td><td>NP B87</td><td>157</td><td>A.J. van Horn</td><td>(LBL) UP</td></tr></table>
<table><tr><td>DEVENISH</td><td>74B</td><td>NP B81 330</td></tr><tr><td>KANE</td><td>74</td><td>LBL-2452</td></tr><tr><td>LITCHFIELD</td><td>74B</td><td>NP B74 19</td></tr><tr><td>LITCHFIELD</td><td>74C</td><td>NP B74 39</td></tr><tr><td>LITCHFIELD</td><td>74D</td><td>NP B74 12</td></tr><tr><td>MULLER</td><td>69B</td><td>Thesis UCRL 19372</td></tr><tr><td>BURGUN</td><td>68</td><td>NP B8 447</td></tr><tr><td>TRIPP</td><td>67</td><td>NP B3 10</td></tr><tr><td>COOL</td><td>66</td><td>PRL 16 1228</td></tr><tr><td>WOHL</td><td>66</td><td>PRL 17 107</td></tr></table>

<table><tr><td>R.C.E. Devenish, C.D. Froggatt, B.R. Martin</td><td>(DESY+)</td></tr><tr><td>D.F. Kane</td><td>74 (LBL) IJP</td></tr><tr><td>P.J. Litchfield et al.</td><td>(CERN, HEIDH) IJP</td></tr><tr><td>P.J. Litchfield et al.</td><td>(CERN, HEIDH) IJP</td></tr><tr><td>P.J. Litchfield et al.</td><td>(CERN, HEIDH) IJP</td></tr><tr><td>R.A. Muller</td><td>(LRL)</td></tr><tr><td>G. Burgun et al.</td><td>(SACL, CDEF, RHEL)</td></tr><tr><td>R.D. Tripp et al.</td><td>(LRL, SACL, CERN+)</td></tr><tr><td>R.L. Cool et al.</td><td>(BNL)</td></tr><tr><td>C.G. Wohl, F.T. Solmitz, M.L. Stevenson</td><td>(LRL) IJP</td></tr></table>

$$ \Sigma(2070) 5/2^+ $$

$$ I(J^P) = 1(\frac{5}{2}^+) \text{ Status: } * $$

### OMITTED FROM SUMMARY TABLE

This state suggested by BERTHON 70B finds support in GOPAL 80 with new $K^-p$ polarization and $K^-n$ angular distributions. The very broad state seen in KANE 72 is not required in the later (KANE 74) analysis of $\bar{K}N \to \Sigma\pi$.

### Σ(2070) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>2020 to 2100 (≈ 2060) OUR ESTIMATE</strong></td></tr><tr><td>2051 ± 25</td><td>GOPAL</td><td>80</td><td>DPWA $\bar{K}N \to \bar{K}N$</td></tr><tr><td>2070 ± 10</td><td>BERTHON</td><td>70B</td><td>DPWA $K^-p \to \Sigma\pi$</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2057</td><td>KANE</td><td>72</td><td>DPWA $K^-p \to \Sigma\pi$</td></tr></tbody></table>

### Σ(2070) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>100 to 300 (≈ 200) OUR ESTIMATE</strong></td></tr><tr><td>300 ± 30</td><td>GOPAL</td><td>80</td><td>DPWA $\bar{K}N \to \bar{K}N$</td></tr><tr><td>140 ± 20</td><td>BERTHON</td><td>70B</td><td>DPWA $K^-p \to \Sigma\pi$</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>906</td><td>KANE</td><td>72</td><td>DPWA $K^-p \to \Sigma\pi$</td></tr></tbody></table>

### Σ(2070) DECAY MODES

Mode

$$ \begin{array}{cc} \Gamma_1 & N\bar{K} \\ \Gamma_2 & \Sigma\pi \end{array} $$

### Σ(2070) BRANCHING RATIOS

See "Sign conventions for resonance couplings" in the Note on $\Lambda$ and $\Sigma$ Resonances.

$$ \begin{array}{ccccc} \Gamma(N\bar{K})/\Gamma_{\text{total}} & & & & \\ \hline \text{VALUE} & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & \Gamma_1/\Gamma \end{array} $$

$$ \begin{array}{ccccc} (\Gamma_1\Gamma_2)^{1/2}/\Gamma_{\text{total}} \text{ in } N\bar{K} \to \Sigma(2070) \to \Sigma\pi & & & & (\Gamma_1\Gamma_2)^{1/2}/\Gamma \\ \hline \text{VALUE} & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & \Gamma_1/\Gamma \end{array} $$

• • • We do not use the following data for averages, fits, limits, etc. • • •

$$ 0.104 \qquad \text{KANE} \qquad 72 \qquad \text{DPWA } K^-p \to \Sigma\pi $$

### Σ(2070) REFERENCES

<table><tr><td>GOPAL</td><td>80</td><td>Toronto Conf. 159</td></tr><tr><td>KANE</td><td>74</td><td>LBL-2452</td></tr><tr><td>KANE</td><td>72</td><td>PR D5 1583</td></tr><tr><td>BERTHON</td><td>70B</td><td>NP B24 417</td></tr></table>

<table><tr><td>G.P. Gopal</td><td>(RHEL) IJP</td></tr><tr><td>D.F. Kane</td><td>(LBL)</td></tr><tr><td>D.F.J. Kane</td><td>(LBL)</td></tr><tr><td>A. Berthon et al.</td><td>(CDEF, RHEL, SACL) IJP</td></tr></table>

$$ \Sigma(2080) 3/2^+ $$

$$ I(J^P) = 1(\frac{3}{2}^+) \text{ Status: } * $$

### OMITTED FROM SUMMARY TABLE

Suggested by some but not all partial-wave analyses across this region.

### Σ(2080) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>2060 to 2120 (≈ 2090) OUR ESTIMATE</strong></td></tr><tr><td>2091 ± 7</td><td>1 CORDEN</td><td>76</td><td>DPWA $K^-n \to \Lambda\pi^-$</td></tr><tr><td>2070 to 2120</td><td>DEBELLEFON</td><td>76</td><td>IPWA $K^-p \to \Lambda\pi^0$</td></tr><tr><td>2120 ± 40</td><td>BAILLON</td><td>75</td><td>IPWA $\bar{K}N \to \Lambda\pi$ (sol. 1)</td></tr><tr><td>2140 ± 40</td><td>BAILLON</td><td>75</td><td>IPWA $\bar{K}N \to \Lambda\pi$ (sol. 2)</td></tr><tr><td>2082 ± 4</td><td>COX</td><td>70</td><td>DPWA See CORDEN 76</td></tr><tr><td>2070 ± 30</td><td>LITCHFIELD</td><td>70</td><td>DPWA $K^-N \to \Lambda\pi$</td></tr></tbody></table>

### Σ(2080) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>100 to 240 (≈ 170) OUR ESTIMATE</strong></td></tr><tr><td>186 ± 48</td><td>1 CORDEN</td><td>76</td><td>DPWA $K^-n \to \Lambda\pi^-$</td></tr><tr><td>100</td><td>DEBELLEFON</td><td>76</td><td>IPWA $K^-p \to \Lambda\pi^0$</td></tr><tr><td>240 ± 50</td><td>BAILLON</td><td>75</td><td>IPWA $\bar{K}N \to \Lambda\pi$ (sol. 1)</td></tr><tr><td>200 ± 50</td><td>BAILLON</td><td>75</td><td>IPWA $\bar{K}N \to \Lambda\pi$ (sol. 2)</td></tr><tr><td>87 ± 20</td><td>COX</td><td>70</td><td>DPWA See CORDEN 76</td></tr><tr><td>250 ± 40</td><td>LITCHFIELD</td><td>70</td><td>DPWA $K^-N \to \Lambda\pi$</td></tr></tbody></table>

### Σ(2080) DECAY MODES

Mode

$$ \begin{array}{cc} \Gamma_1 & N\bar{K} \\ \Gamma_2 & \Lambda\pi \end{array} $$

### Σ(2080) BRANCHING RATIOS

See "Sign conventions for resonance couplings" in the Note on $\Lambda$ and $\Sigma$ Resonances.

$$ (\Gamma_1\Gamma_2)^{1/2}/\Gamma_{\text{total}} \text{ in } N\bar{K} \to \Sigma(2080) \to \Lambda\pi \quad (\Gamma_1\Gamma_2)^{1/2}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.10 ± 0.03</td><td>1 CORDEN</td><td>76</td><td>DPWA $K^-n \to \Lambda\pi^-$</td></tr><tr><td>-0.10</td><td>DEBELLEFON</td><td>76</td><td>IPWA $K^-p \to \Lambda\pi^0$</td></tr><tr><td>-0.13 ± 0.04</td><td>BAILLON</td><td>75</td><td>IPWA $\bar{K}N \to \Lambda\pi$ (sol. 1 and 2)</td></tr><tr><td>-0.16 ± 0.03</td><td>COX</td><td>70</td><td>DPWA See CORDEN 76</td></tr><tr><td>-0.09 ± 0.03</td><td>LITCHFIELD</td><td>70</td><td>DPWA $K^-N \to \Lambda\pi$</td></tr></tbody></table>

### Σ(2080) FOOTNOTES

¹Preferred solution 3; see CORDEN 76 for other possibilities, including a $D_{15}$ at this mass.

### Σ(2080) REFERENCES

<table><tr><td>CORDEN</td><td>76</td></tr><tr><td>DEBELLEFON</td><td>76</td></tr><tr><td>Also</td><td>NP B90 1</td></tr><tr><td>BAILLON</td><td>75</td></tr><tr><td>COX</td><td>70</td></tr><tr><td>LITCHFIELD</td><td>70</td></tr></table>

<table><tr><td>M.J. Corden et al.</td><td>(BIRM) IJP</td></tr><tr><td>A. de Bellefon, A. Berthon</td><td>(CDEF) IJP</td></tr><tr><td>A. de Bellefon et al.</td><td>(CDEF, SACL) IJP</td></tr><tr><td>P.H. Baillon, P.J. Litchfield</td><td>(CERN, RHEL) IJP</td></tr><tr><td>G.F. Cox et al.</td><td>(BIRM, EDIN, GLAS, LOIC) IJP</td></tr><tr><td>P.J. Litchfield</td><td>(RHEL) IJP</td></tr></table>

$$ \Sigma(2100) 7/2^- $$

$$ I(J^P) = 1(\frac{7}{2}^-) \text{ Status: } * $$

### OMITTED FROM SUMMARY TABLE

### Σ(2100) POLE POSITION

#### REAL PART

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2093 ± 16</td><td>SARANTSEV</td><td>19</td><td>DPWA $\bar{K}N$ multichannel</td></tr></tbody></table>

#### -2×IMAGINARY PART

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>210 ± 35</td><td>SARANTSEV</td><td>19</td><td>DPWA $\bar{K}N$ multichannel</td></tr></tbody></table>

#### Σ(2100) POLE RESIDUES

##### Normalized residue in $N\bar{K} \to \Sigma(2100) \to N\bar{K}$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.09 ± 0.02</td><td>-110 ± 15</td><td>SARANTSEV</td><td>19</td><td>DPWA $\bar{K}N$ multichannel</td></tr></tbody></table>

##### Normalized residue in $N\bar{K} \to \Sigma(2100) \to \Sigma\pi$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.04 ± 0.02</td><td>-50 ± 20</td><td>SARANTSEV</td><td>19</td><td>DPWA $\bar{K}N$ multichannel</td></tr></tbody></table>

##### Normalized residue in $N\bar{K} \to \Sigma(2100) \to \Lambda\pi$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03 ± 0.02</td><td>-100 ± 25</td><td>SARANTSEV</td><td>19</td><td>DPWA $\bar{K}N$ multichannel</td></tr></tbody></table>

##### Normalized residue in $N\bar{K} \to \Sigma(2100) \to \Xi K$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.010 ± 0.005</td><td>-120 ± 35</td><td>SARANTSEV</td><td>19</td><td>DPWA $\bar{K}N$ multichannel</td></tr></tbody></table>

##### Normalized residue in $N\bar{K} \to \Sigma(2100) \to \Lambda(1520)\pi, F$-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02 ± 0.01</td><td>-100 ± 30</td><td>SARANTSEV</td><td>19</td><td>DPWA $\bar{K}N$ multichannel</td></tr></tbody></table>

##### Normalized residue in $N\bar{K} \to \Sigma(2100) \to \Lambda(1520)\pi, H$-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.01 ± 0.01</td><td>-100 ± 30</td><td>SARANTSEV</td><td>19</td><td>DPWA $\bar{K}N$ multichannel</td></tr></tbody></table>
### $\Sigma(2110)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>310<sup>+120</sup><sub>-50</sub> OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>320<sup>+300</sup><sub>-60</sub></td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr><tr><td>300<sup>+134</sup></td><td>ZHANG</td><td>13A</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

### $\Sigma(2110)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_f/\Gamma$)</th></tr></thead><tbody><tr><td>$\Gamma_1$ $N\bar{K}$</td><td>(29 ± 7) %</td></tr><tr><td>$\Gamma_2$ $\Sigma\pi$</td><td>(7.0 ± 2.0) %</td></tr><tr><td>$\Gamma_3$ $\Lambda\pi$</td><td>(54 ± 12) %</td></tr><tr><td>$\Gamma_4$ $N\bar{K}^*(892)$, S-wave</td><td>(3.0 ± 1.0) %</td></tr><tr><td>$\Gamma_5$ $N\bar{K}^*(892)$, D-wave</td><td></td></tr></tbody></table>

### $\Sigma(2110)$ BRANCHING RATIOS

<table><thead><tr><th>$\Gamma(N\bar{K})/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.29±0.07</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(\Sigma\pi)/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.07±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(\Lambda\pi)/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.54±0.12</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(N\bar{K}^*(892), S\text{-wave})/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03±0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(N\bar{K}^*(892), D\text{-wave})/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

### $\Sigma(2110)$ REFERENCES

SARANTSEV 19 EPJ A55 180
ZHANG 13A PR C88 035205

A.V. Sarantsev et al.
H. Zhang et al.

(BONN, PNPI)
(KSU)

$$ \Sigma(2230) \ 3/2^+ $$

$$ I(J^P) = 1(\frac{3}{2}^+) \quad \text{Status: *} $$

OMITTED FROM SUMMARY TABLE

### $\Sigma(2230)$ POLE POSITION

#### REAL PART

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2234±25</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### $-2 \times \text{IMAGINARY PART}$

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>340±45</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

### $\Sigma(2230)$ POLE RESIDUES

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to N\bar{K}$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.07±0.02</td><td>25 ± 15</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to \Sigma\pi$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03±0.02</td><td>180 ± 25</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue is $N\bar{K} \to \Sigma(2030) \to \Lambda\pi$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.11±0.05</td><td>-16 ± 10</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to \Xi K$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.04±0.02</td><td>155 ± 20</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to \Lambda(1520)\pi$, S-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.12±0.05</td><td>-80 ± 25</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to \Lambda(1520)\pi$, D-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03±0.02</td><td>160 ± 30</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to \Sigma(1385)\pi$, P-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05±0.02</td><td>60 ± 25</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to \Sigma(1385)\pi$, F-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05±0.03</td><td>-70 ± 20</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to \Delta\bar{K}$, P-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.11±0.04</td><td>60 ± 15</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to \Delta\bar{K}$, F-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.07±0.03</td><td>90 ± 25</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to N\bar{K}^*(892)$, S=1/2, P-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.08±0.04</td><td>40 ± 45</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to N\bar{K}^*(892)$, S=3/2, P-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.14±0.03</td><td>-40 ± 45</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

#### Normalized residue in $N\bar{K} \to \Sigma(2230) \to N\bar{K}^*(892)$, S=3/2, F-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.05±0.03</td><td>35 ± 30</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

### $\Sigma(2230)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2240±27</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

### $\Sigma(2230)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>345±50</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

### $\Sigma(2230)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_f/\Gamma$)</th></tr></thead><tbody><tr><td>$\Gamma_1$ $N\bar{K}$</td><td>(6.0±2.0) %</td></tr><tr><td>$\Gamma_2$ $\Sigma\pi$</td><td>(2.0±1.0) %</td></tr><tr><td>$\Gamma_3$ $\Lambda\pi$</td><td>(12 ± 6) %</td></tr><tr><td>$\Gamma_4$ $\Xi K$</td><td>(2.0±1.0) %</td></tr><tr><td>$\Gamma_5$ $\Lambda(1520)\pi$, S-wave</td><td>(14 ± 5) %</td></tr><tr><td>$\Gamma_6$ $\Lambda(1520)\pi$, D-wave</td><td></td></tr><tr><td>$\Gamma_7$ $\Sigma(1385)\pi$, P-wave</td><td>(4 ± 4) %</td></tr><tr><td>$\Gamma_8$ $\Sigma(1385)\pi$, F-wave</td><td>(3.0±2.0) %</td></tr><tr><td>$\Gamma_9$ $\Delta\bar{K}$, P-wave</td><td>(14 ± 5) %</td></tr><tr><td>$\Gamma_{10}$ $\Delta\bar{K}$, F-wave</td><td>(8.0±2.0) %</td></tr><tr><td>$\Gamma_{11}$ $N\bar{K}^*(892)$, S=1/2, F-wave</td><td>(8.0±3.0) %</td></tr><tr><td>$\Gamma_{12}$ $N\bar{K}^*(892)$, S=3/2, F-wave</td><td>(26 ± 5) %</td></tr></tbody></table>

### $\Sigma(2230)$ BRANCHING RATIOS

<table><thead><tr><th>$\Gamma(N\bar{K})/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.06±0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(\Sigma\pi)/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02±0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(\Lambda\pi)/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.12±0.06</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(\Xi K)/\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.02±0.01</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(\Lambda(1520)\pi$, S-wave)/$\Gamma_{\text{total}}$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.14±0.05</td><td>SARANTSEV</td><td>19</td><td>DPWA $\overline{K}$N multichannel</td></tr></tbody></table>
$$ \Gamma(\Lambda(1520)\pi, D\text{-wave})/\Gamma_{\text{total}} \quad \Gamma_6/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • •</td><td></td><td></td><td></td></tr><tr><td>~ 1</td><td>SARANTSEV</td><td>19</td><td>DPWA K&#773;N multichannel</td></tr></tbody></table>

$$ \Gamma(\Sigma(1385)\pi, P\text{-wave})/\Gamma_{\text{total}} \quad \Gamma_7/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.04 ± 0.04</td><td>SARANTSEV</td><td>19</td><td>DPWA K&#773;N multichannel</td></tr></tbody></table>

$$ \Gamma(\Sigma(1385)\pi, F\text{-wave})/\Gamma_{\text{total}} \quad \Gamma_8/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.03 ± 0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K&#773;N multichannel</td></tr></tbody></table>

$$ \Gamma(\Delta K, P\text{-wave})/\Gamma_{\text{total}} \quad \Gamma_9/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.14 ± 0.05</td><td>SARANTSEV</td><td>19</td><td>DPWA K&#773;N multichannel</td></tr></tbody></table>

$$ \Gamma(\Delta K, F\text{-wave})/\Gamma_{\text{total}} \quad \Gamma_{10}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.08 ± 0.02</td><td>SARANTSEV</td><td>19</td><td>DPWA K&#773;N multichannel</td></tr></tbody></table>

$$ \Gamma(N\bar{K}^*(892), S=1/2, F\text{-wave})/\Gamma_{\text{total}} \quad \Gamma_{11}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.08 ± 0.03</td><td>SARANTSEV</td><td>19</td><td>DPWA K&#773;N multichannel</td></tr></tbody></table>

$$ \Gamma(N\bar{K}^*(892), S=3/2, F\text{-wave})/\Gamma_{\text{total}} \quad \Gamma_{12}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.26 ± 0.05</td><td>SARANTSEV</td><td>19</td><td>DPWA K&#773;N multichannel</td></tr></tbody></table>

## Σ(2230) REFERENCES

SARANTSEV 19 EPJ A55 180

A.V. Sarantsev et al.

(BONN, PNPI)

$$ \Sigma(2250) $$

$$ I(J^P) = 1(?)^2 \quad \text{Status: **} $$

### OMITTED FROM SUMMARY TABLE

Results from partial-wave analyses are too weak to warrant separating them from the production and cross-section experiments. LASINSKI 71 in $K\bar{K}$N using a Pomeron + resonances model, and DEBELLEFON 76, DEBELLEFON 77, and DEBELLEFON 78 in energy-dependent partial-wave analyses of $K\bar{K}N \to \Lambda\pi, \Sigma\pi$, and $N\bar{K}$, respectively, suggest two resonances around this mass.

## Σ(2250) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>2210 to 2280 (≈ 2250) OUR ESTIMATE</strong></td></tr><tr><td>2270 ± 50</td><td>DEBELLEFON 78</td><td>DPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>2210 ± 30</td><td>DEBELLEFON 78</td><td>DPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>2275 ± 20</td><td>DEBELLEFON 77</td><td>DPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>2215 ± 20</td><td>DEBELLEFON 77</td><td>DPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>2300 ± 30</td><td>1 DEBELLEFON 75b</td><td>HBC K<sup>-</sup>p → Ξ<sup>*0</sup> K<sup>0</sup></td><td></td></tr><tr><td>2251<sup>+30</sup><sub>-20</sub></td><td>VANHORN 75</td><td>DPWA K<sup>-</sup>p → Λ<sup>*0</sup>, F<sub>5</sub></td><td></td></tr><tr><td>2280 ± 14</td><td>AGUILAR-... 70b</td><td>HBC K<sup>-</sup>p 3.9, 4.6 GeV/c</td><td></td></tr><tr><td>2237 ± 11</td><td>BRICMAN 70</td><td>CNTR Total, charge exchange</td><td></td></tr><tr><td>2255 ± 10</td><td>COOL 70</td><td>CNTR K<sup>-</sup>p, K<sup>-</sup>d total</td><td></td></tr><tr><td>2250 ± 7</td><td>BUGG 68</td><td>CNTR K<sup>-</sup>p, K<sup>-</sup>d total</td><td></td></tr></tbody></table>

<table><thead><tr><th colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</th></tr></thead><tbody><tr><td>2260</td><td>DEBELLEFON 76</td><td>IPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>2215</td><td>DEBELLEFON 76</td><td>IPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>2250 ± 20</td><td>LU 70</td><td>CNTR γp → K<sup>+</sup>Y<sup>*</sup></td><td></td></tr><tr><td>2245</td><td>BLANPIED 65</td><td>CNTR γp → K<sup>+</sup>Y<sup>*</sup></td><td></td></tr><tr><td>2299 ± 6</td><td>BOCK 65</td><td>HBC p̄p 5.7 GeV/c</td><td></td></tr></tbody></table>

## Σ(2250) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>60 to 150 (≈ 100) OUR ESTIMATE</strong></td></tr><tr><td>120 ± 40</td><td>DEBELLEFON 78</td><td>DPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>80 ± 20</td><td>DEBELLEFON 78</td><td>DPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>70 ± 20</td><td>DEBELLEFON 77</td><td>DPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>60 ± 20</td><td>DEBELLEFON 77</td><td>DPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>130 ± 20</td><td>1 DEBELLEFON 75b</td><td>HBC K<sup>-</sup>p → Ξ<sup>*0</sup> K<sup>0</sup></td><td></td></tr><tr><td>192 ± 30</td><td>VANHORN 75</td><td>DPWA K<sup>-</sup>p → Λ<sup>*0</sup>, F<sub>5</sub></td><td></td></tr><tr><td>100 ± 20</td><td>AGUILAR-... 70b</td><td>HBC K<sup>-</sup>p 3.9, 4.6 GeV/c</td><td></td></tr><tr><td>164 ± 50</td><td>BRICMAN 70</td><td>CNTR Total, charge exchange</td><td></td></tr><tr><td>230 ± 20</td><td>BUGG 68</td><td>CNTR K<sup>-</sup>p, K<sup>-</sup>d total</td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>100</td><td>DEBELLEFON 76</td><td>IPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>140</td><td>DEBELLEFON 76</td><td>IPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>170</td><td>COOL 70</td><td>CNTR K<sup>-</sup>p, K<sup>-</sup>d total</td><td></td></tr><tr><td>125</td><td>LU 70</td><td>CNTR γp → K<sup>+</sup>Y<sup>*</sup></td><td></td></tr><tr><td>150</td><td>BLANPIED 65</td><td>CNTR γp → K<sup>+</sup>Y<sup>*</sup></td><td></td></tr><tr><td>21<sup>+17</sup><sub>-21</sub></td><td>BOCK 65</td><td>HBC p̄p 5.7 GeV/c</td><td></td></tr></tbody></table>

## Σ(2250) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> N&#773;K&#773;</td><td>&lt;10%</td></tr><tr><td>Γ<sub>2</sub> Λπ</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> Σπ</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> Ξ(1530)K</td><td></td></tr></tbody></table>

## Σ(2250) BRANCHING RATIOS

See "Sign conventions for resonance couplings" in the Note on Λ and Σ Resonances.

$$ \Gamma(N\bar{K})/\Gamma_{\text{total}} \quad \Gamma_1/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.1 OUR ESTIMATE</td><td></td><td></td><td></td></tr><tr><td>0.08 ± 0.02</td><td>DEBELLEFON 78</td><td>DPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>0.02 ± 0.01</td><td>DEBELLEFON 78</td><td>DPWA G<sub>9</sub> wave</td><td></td></tr></tbody></table>

$$ (J + \frac{1}{2}) \times \Gamma(N\bar{K})/\Gamma_{\text{total}} \quad \Gamma_1/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.16 ± 0.12</td><td>BRICMAN 70</td><td>CNTR Total, charge exchange</td><td></td></tr><tr><td>0.42</td><td>COOL 70</td><td>CNTR K<sup>-</sup>p, K<sup>-</sup>d total</td><td></td></tr><tr><td>0.47</td><td>BUGG 68</td><td>CNTR</td><td></td></tr></tbody></table>

<table><thead><tr><th colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</th></tr></thead><tbody><tr><td>+0.11</td><td>DEBELLEFON 76</td><td>IPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>-0.10</td><td>DEBELLEFON 76</td><td>IPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>-0.18</td><td>BARBARO-... 70</td><td>DPWA K<sup>-</sup>p → Λ<sup>*0</sup>, G<sub>9</sub></td><td></td></tr></tbody></table>

$$ (\Gamma_i \Gamma_f)^{1/2} / \Gamma_{\text{total}} \text{ in } N\bar{K} \to \Sigma(2250) \to \Lambda\pi \quad (\Gamma_1 \Gamma_2)^{1/2} / \Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.16 ± 0.03</td><td>VANHORN 75</td><td>DPWA K<sup>-</sup>p → Λ<sup>*0</sup>, F<sub>5</sub></td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>+0.11</td><td>DEBELLEFON 76</td><td>IPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>-0.10</td><td>DEBELLEFON 76</td><td>IPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>-0.18</td><td>BARBARO-... 70</td><td>DPWA K<sup>-</sup>p → Λ<sup>*0</sup>, G<sub>9</sub></td><td></td></tr></tbody></table>

$$ (\Gamma_i \Gamma_f)^{1/2} / \Gamma_{\text{total}} \text{ in } N\bar{K} \to \Sigma(2250) \to \Sigma\pi \quad (\Gamma_1 \Gamma_3)^{1/2} / \Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.06 ± 0.02</td><td>DEBELLEFON 77</td><td>DPWA D<sub>5</sub> wave</td><td></td></tr><tr><td>-0.03 ± 0.02</td><td>DEBELLEFON 77</td><td>DPWA G<sub>9</sub> wave</td><td></td></tr><tr><td>+0.07</td><td>BARBARO-... 70</td><td>DPWA K<sup>-</sup>p → Σ<sub>π</sub>, G<sub>9</sub> wave</td><td></td></tr></tbody></table>

$$ \Gamma(N\bar{K})/\Gamma(\Sigma\pi) \quad \Gamma_1/\Gamma_3 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.18</td><td>BARNES 69</td><td>HBC 1 standard dev. limit</td><td></td></tr></tbody></table>

$$ \Gamma(\Lambda\pi)/\Gamma(\Sigma\pi) \quad \Gamma_2/\Gamma_3 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td></tr><tr><td>&lt;0.18</td><td>BARNES 69</td><td>HBC 1 standard dev. limit</td><td></td></tr></tbody></table>

$$ (\Gamma_i \Gamma_f)^{1/2} / \Gamma_{\text{total}} \text{ in } N\bar{K} \to \Xi(1530)K \quad \Gamma_1 \Gamma_4^{1/2} / \Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.18 ± 0.04</td><td>1 DEBELLEFON 75b</td><td>HBC K<sup>-</sup>p → Ξ<sup>*0</sup> K<sup>0</sup></td><td></td></tr></tbody></table>

## Σ(2250) FOOTNOTES

¹Seen in the (initial and final state) D<sub>5</sub> wave. Isospin not determined.

## Σ(2250) REFERENCES

<table><tbody><tr><td>DEBELLEFON 78</td><td>NC 42A 403</td><td>A. de Bellefon et al.</td><td>(CDEF, SACL) JP</td></tr><tr><td>DEBELLEFON 77</td><td>NC 37A 175</td><td>A. de Bellefon et al.</td><td>(CDEF, SACL) JP</td></tr><tr><td>DEBELLEFON 76</td><td>NP B109 129</td><td>A. de Bellefon, A. Berthon</td><td>(CDEF) JP</td></tr><tr><td>Also</td><td>NP B90 1</td><td>A. de Bellefon et al.</td><td>(CDEF, SACL) JP</td></tr><tr><td>DEBELLEFON 75b</td><td>NC 28A 289</td><td>A. de Bellefon et al.</td><td>(CDEF, SACL) JP</td></tr><tr><td>VANHORN 75</td><td>NP B87 145</td><td>A.J. van Horn</td><td>(LBL) JP</td></tr><tr><td>Also</td><td>NP B87 157</td><td>A.J. van Horn</td><td>(LBL) JP</td></tr><tr><td>LASINSKI 71</td><td>NP B29 125</td><td>T.A. Lasinski</td><td>(EFI) JP</td></tr><tr><td>AGUILAR-... 70b</td><td>PRL 25 58</td><td>M. Aguilar-Benitez et al.</td><td>(BNL, SYRA)</td></tr><tr><td>BARBARO-... 70</td><td>Duke Conf. 173</td><td>A. Barbaro-Galtieri</td><td>(LRL) JP</td></tr><tr><td>Hyperon Resonances, 1970</td><td></td><td></td><td></td></tr><tr><td>BRICMAN 70</td><td>PL 31B 152</td><td>C. Bricman et al.</td><td>(CERN, CAEN, SACL)</td></tr><tr><td>COOL 70</td><td>PR D1 1887</td><td>R.L. Cool et al.</td><td>(BNL) I</td></tr><tr><td>Also</td><td>PRL 16 1228</td><td>R.L. Cool et al.</td><td>(BNL) I</td></tr><tr><td>LU 70</td><td>PR D2 1846</td><td>D.C. Lu et al.</td><td>(YALE)</td></tr><tr><td>BARNES 69</td><td>PRL 22 479</td><td>V.E. Barnes et al.</td><td>(BNL, SYRA)</td></tr><tr><td>BUGG 68</td><td>PR 168 1466</td><td>D.V. Bugg et al.</td><td>(RHEL, BIRM, CAVE) I</td></tr><tr><td>BLANPIED 65</td><td>PRL 14 741</td><td>W.A. Blanpied et al.</td><td>(YALE, CEA)</td></tr><tr><td>BOCK 65</td><td>PL 17 166</td><td>R.K. Bock et al.</td><td>(CERN, SACL)</td></tr></tbody></table>
Σ(2455) Bumps

I(J$^P$) = 1(?) Status: *

OMITTED FROM SUMMARY TABLE

There is also some slight evidence for Y* states in this mass region
from the reaction γp → K⁺X — see GREENBERG 68.

Σ(2455) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">≈ 2455 OUR ESTIMATE</td></tr><tr><td>2455 ± 10</td><td>ABRAMS</td><td>70</td><td>CNTR K<sup>-</sup> p, K<sup>-</sup> d total</td></tr><tr><td>2455 ± 7</td><td>BUGG</td><td>68</td><td>CNTR K<sup>-</sup> p, K<sup>-</sup> d total</td></tr></tbody></table>

Σ(2455) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>140</td><td>ABRAMS</td><td>70</td><td>CNTR K<sup>-</sup> p, K<sup>-</sup> d total</td></tr><tr><td>100 ± 20</td><td>BUGG</td><td>68</td><td>CNTR</td></tr></tbody></table>

Σ(2455) DECAY MODES

Mode

$\Gamma_1 N\bar{K}$

Σ(2455) BRANCHING RATIOS

<table><thead><tr><th>(J+1/2)×Γ(NK̄)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.39</td><td>ABRAMS</td><td>70</td><td>CNTR K<sup>-</sup> p, K<sup>-</sup> d total</td></tr><tr><td>0.05 ± 0.05</td><td>1 BRICMAN</td><td>70</td><td>CNTR Total, charge exchange</td></tr><tr><td>0.3</td><td>BUGG</td><td>68</td><td>CNTR</td></tr></tbody></table>

Σ(2455) FOOTNOTES

¹ Fit of total cross section given by BRICMAN 70 is poor in this region.

Σ(2455) REFERENCES

<table><tr><td>ABRAMS</td><td>70</td><td>PR D1 1917</td></tr><tr><td>Also</td><td></td><td>PRL 19 678</td></tr><tr><td>BRICMAN</td><td>70</td><td>PL 31B 152</td></tr><tr><td>BUGG</td><td>68</td><td>PR 168 1466</td></tr><tr><td>GREENBERG</td><td>68</td><td>PRL 20 221</td></tr></table>

<table><tr><td>R.J. Abrams et al.</td><td>(BNL) I</td></tr><tr><td>R.J. Abrams et al.</td><td>(BNL)</td></tr><tr><td>C. Briman et al.</td><td>(CERN, CAEN, SACL)</td></tr><tr><td>D.V. Bugg et al.</td><td>(RHEL, BIRM, CAVE) I</td></tr><tr><td>J.S. Greenberg et al.</td><td>(YALE)</td></tr></table>

Σ(2620) Bumps

I(J$^P$) = 1(?) Status: *

OMITTED FROM SUMMARY TABLE

Σ(2620) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">≈ 2620 OUR ESTIMATE</td></tr><tr><td>2542 ± 22</td><td>DIBIANCA</td><td>75</td><td>DBC K<sup>-</sup> N → Ξ K<sub>π</sub></td></tr><tr><td>2620 ± 15</td><td>ABRAMS</td><td>70</td><td>CNTR K<sup>-</sup> p, K<sup>-</sup> d total</td></tr></tbody></table>

Σ(2620) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>221 ± 81</td><td>DIBIANCA</td><td>75</td><td>DBC K<sup>-</sup> N → Ξ K<sub>π</sub></td></tr><tr><td>175</td><td>ABRAMS</td><td>70</td><td>CNTR K<sup>-</sup> p, K<sup>-</sup> d total</td></tr></tbody></table>

Σ(2620) DECAY MODES

Mode

$\Gamma_1 N\bar{K}$

Σ(2620) BRANCHING RATIOS

<table><thead><tr><th>(J+1/2)×Γ(NK̄)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.32</td><td>ABRAMS</td><td>70</td><td>CNTR K<sup>-</sup> p, K<sup>-</sup> d total</td></tr><tr><td>0.36 ± 0.12</td><td>BRICMAN</td><td>70</td><td>CNTR Total, charge exchange</td></tr></tbody></table>

Σ(2620) REFERENCES

<table><tr><td>DIBIANCA</td><td>75</td><td>NP B98 137</td></tr><tr><td>ABRAMS</td><td>70</td><td>PR D1 1917</td></tr><tr><td>Also</td><td></td><td>PRL 19 678</td></tr><tr><td>BRICMAN</td><td>70</td><td>PL 31B 152</td></tr></table>

<table><tr><td>F.A. Dibianca, R.J. Endorf</td><td>(CMU)</td></tr><tr><td>R.J. Abrams et al.</td><td>(BNL) I</td></tr><tr><td>R.J. Abrams et al.</td><td>(BNL)</td></tr><tr><td>C. Briman et al.</td><td>(CERN, CAEN, SACL)</td></tr></table>

Σ(3000) Bumps

I(J$^P$) = 1(?) Status: *

OMITTED FROM SUMMARY TABLE

Seen as an enhancement in Λπ and K̄N invariant mass spectra and
in the missing mass of neutrals recoiling against a K⁰.

Σ(3000) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5">≈ 3000 OUR ESTIMATE</td></tr><tr><td>3000</td><td>EHRLICH</td><td>66</td><td>HBC</td><td>0 π<sup>-</sup> p 7.91 GeV/c</td></tr></tbody></table>

Σ(3000) DECAY MODES

Mode

$$
\begin{array}{l}
\Gamma_1 N\bar{K} \\
\Gamma_2 \Lambda\pi
\end{array}
$$

Σ(3000) REFERENCES

<table><tr><td>EHRLICH</td><td>66</td><td>PR 152 1194</td><td>R. Ehrlich, W. Selove, H. Yuta</td><td>(PENN) I</td></tr></table>

Σ(3170) Bumps

I(J$^P$) = 1(?) Status: *

OMITTED FROM SUMMARY TABLE

Seen by AMIRZADEH 79 as a narrow 6.5-standard-deviation enhancement in the reaction K⁻p → Y⁺⁺π⁻ using data from independent high statistics bubble chamber experiments at 8.25 and 6.5 GeV/c. The dominant decay modes are multibody, multistrange final states and the production is via isospin-3/2 baryon exchange. Isospin 1 is favored.

Not seen in a K⁻p experiment in LASS at 11 GeV/c (ASTON 85B).

Σ(3170) MASS
(PRODUCTION EXPERIMENTS)

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5">≈ 3170 OUR ESTIMATE</td></tr><tr><td>3170 ± 5</td><td>35</td><td>AMIRZADEH</td><td>79</td><td>HBC K<sup>-</sup> p → Y<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

Σ(3170) WIDTH
(PRODUCTION EXPERIMENTS)

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;20</td><td>35</td><td>1 AMIRZADEH</td><td>79</td><td>HBC K<sup>-</sup> p → Y<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

Σ(3170) DECAY MODES
(PRODUCTION EXPERIMENTS)

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>j</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> ΛK̄Kπ's</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> ΣK̄Kπ's</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> ΞKπ's</td><td>seen</td></tr></tbody></table>

Σ(3170) BRANCHING RATIOS
(PRODUCTION EXPERIMENTS)

<table><thead><tr><th>Γ(ΛK̄Kπ's)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>Γ<sub>1</sub>/Γ</td><td>AMIRZADEH</td><td>79</td><td>HBC K<sup>-</sup> p → Y<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

<table><thead><tr><th>Γ(ΣK̄Kπ's)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>Γ<sub>2</sub>/Γ</td><td>AMIRZADEH</td><td>79</td><td>HBC K<sup>-</sup> p → Y<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

<table><thead><tr><th>Γ(ΞKπ's)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>Γ<sub>3</sub>/Γ</td><td>AMIRZADEH</td><td>79</td><td>HBC K<sup>-</sup> p → Y<sup>+</sup>π<sup>-</sup></td></tr></tbody></table>

Σ(3170) FOOTNOTES
(PRODUCTION EXPERIMENTS)

¹ Observed width consistent with experimental resolution.

Σ(3170) REFERENCES
(PRODUCTION EXPERIMENTS)

<table><tr><td>ASTON</td><td>85B</td><td>PR D32 2270</td></tr><tr><td>AMIRZADEH</td><td>79</td><td>PL 89B 125</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 263</td></tr></table>

<table><tr><td>D. Aston et al.</td><td>(SLAC, CARL, CNRC, CINC)</td></tr><tr><td>J. Amirzadeh et al.</td><td>(BIRM, CERN, GLAS+) I</td></tr><tr><td>J.B. Kinson et al.</td><td>(BIRM, CERN, GLAS+) I</td></tr></table>
## Ξ BARYONS
(S = -2, I = 1/2)

$\Xi^0 = uus, \Xi^- = dss$

$\Xi^0$

$I(J^P) = \frac{1}{2}(\frac{1}{2}^+) \text{ Status: } ****$

The parity has not actually been measured, but + is of course expected.

### Ξ⁰ MASS

The fit uses the $\Xi^0$, $\Xi^-$, and $\Xi^+$ masses and the $\Xi^- - \Xi^0$ mass difference. It assumes that the $\Xi^-$ and $\Xi^+$ masses are the same.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1314.86±0.20 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>1314.82±0.06±0.20</strong></td><td>3120</td><td>FANTI</td><td>00</td><td>NA48 p Be, 450 GeV</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1315.2 ±0.92</td><td>49</td><td>WILQUET</td><td>72</td><td>HLBC</td></tr><tr><td>1313.4 ±1.8</td><td>1</td><td>PALMER</td><td>68</td><td>HBC</td></tr></tbody></table>

### $m_{\Xi^-} - m_{\Xi^0}$

The fit uses the $\Xi^0$, $\Xi^-$, and $\Xi^+$ masses and the $\Xi^- - \Xi^0$ mass difference. It assumes that the $\Xi^-$ and $\Xi^+$ masses are the same.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>6.85±0.21 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>6.3 ±0.7 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>6.9 ±2.2</td><td>29</td><td>LONDON</td><td>66</td><td>HBC</td></tr><tr><td>6.1 ±0.9</td><td>88</td><td>PJERROU</td><td>65B</td><td>HBC</td></tr><tr><td>6.8 ±1.6</td><td>23</td><td>JAUNEAU</td><td>63</td><td>FBC</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>6.1 ±1.6</td><td>45</td><td>CARMONY</td><td>64B</td><td>HBC See PJERROU 65B</td></tr></tbody></table>

### Ξ⁰ MEAN LIFE

<table><thead><tr><th>VALUE (10<sup>-10</sup> s)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2.90±0.09 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>2.83±0.16</td><td>6300</td><td>1 ZECH</td><td>77</td><td>SPEC Neutral hyperon beam</td></tr><tr><td>2.88<sup>+0.21</sup><sub>-0.19</sub></td><td>652</td><td>BALTAY</td><td>74</td><td>HBC 1.75 GeV/c K<sup>-</sup> p</td></tr><tr><td>2.90<sup>+0.32</sup><sub>-0.27</sub></td><td>157</td><td>2 MAYEUR</td><td>72</td><td>HLBC 2.1 GeV/c K<sup>-</sup></td></tr><tr><td>3.07<sup>+0.22</sup><sub>-0.20</sub></td><td>340</td><td>DAUBER</td><td>69</td><td>HBC</td></tr><tr><td>3.0 ±0.5</td><td>80</td><td>PJERROU</td><td>65B</td><td>HBC</td></tr><tr><td>2.5<sup>+0.4</sup><sub>-0.3</sub></td><td>101</td><td>HUBBARD</td><td>64</td><td>HBC</td></tr><tr><td>3.9<sup>+1.4</sup><sub>-0.8</sub></td><td>24</td><td>JAUNEAU</td><td>63</td><td>FBC</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>3.5<sup>+1.0</sup><sub>-0.8</sub></td><td>45</td><td>CARMONY</td><td>64B</td><td>HBC See PJERROU 65B</td></tr></table>

¹The ZECH 77 result is $\tau_{\Xi^0} = [2.77 - (\tau_{\Lambda} - 2.69)] \times 10^{-10}$ s, in which we use $\tau_{\Lambda} = 2.63 \times 10^{-10}$ s.

²The MAYEUR 72 value is modified by the erratum.

### Ξ⁰ MAGNETIC MOMENT

See the “Quark Model” review.

<table><thead><tr><th>VALUE (μ<sub>N</sub>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th></tr></thead><tbody><tr><td><strong>-1.250±0.014 OUR AVERAGE</strong></td><td></td><td></td><td></td></tr><tr><td>-1.253±0.014</td><td>270k</td><td>COX</td><td>81</td></tr><tr><td>-1.20±0.06</td><td>42k</td><td>BUNCE</td><td>79</td></tr></tbody></table>

### Ξ⁰ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Λπ<sup>0</sup></td><td>(99.524±0.012) %</td><td></td></tr><tr><td>Γ<sub>2</sub> Λγ</td><td>(1.17 ±0.07) × 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>3</sub> Λe<sup>+</sup>e<sup>-</sup></td><td>(7.6 ±0.6) × 10<sup>-6</sup></td><td></td></tr><tr><td>Γ<sub>4</sub> Σ<sup>0</sup>γ</td><td>(3.33 ±0.10) × 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>5</sub> Σ<sup>+</sup>e<sup>-</sup>ν<sub>e</sub></td><td>(2.52 ±0.08) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>6</sub> Σ<sup>+</sup>μ<sup>-</sup>ν<sub>μ</sub></td><td>(2.33 ±0.35) × 10<sup>-6</sup></td><td></td></tr></tbody></table>

### ΔS = ΔQ (SQ) violating modes or
ΔS = 2 forbidden (S2) modes

<table><tr><td>Γ<sub>7</sub> Σ<sup>-</sup> e<sup>+</sup>ν<sub>e</sub></td><td>SQ</td><td>&lt; 1.6</td><td>× 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>8</sub> Σ<sup>-</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>SQ</td><td>&lt; 9</td><td>× 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>9</sub> pπ<sup>-</sup></td><td>S2</td><td>&lt; 8</td><td>× 10<sup>-6</sup></td><td>90%</td></tr><tr><td>Γ<sub>10</sub> p e<sup>-</sup>ν<sub>e</sub></td><td>S2</td><td>&lt; 1.3</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>11</sub> p μ<sup>-</sup>ν<sub>μ</sub></td><td>S2</td><td>&lt; 1.3</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>12</sub> K<sup>-</sup> e<sup>+</sup></td><td></td><td></td><td></td><td></td></tr><tr><td>Γ<sub>13</sub> K<sup>+</sup> e<sup>-</sup></td><td></td><td></td><td></td><td></td></tr></table>

### CONSTRAINED FIT INFORMATION

An overall fit to 5 branching ratios uses 11 measurements and one constraint to determine 5 parameters. The overall fit has a $\chi^2 = 7.5$ for 7 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients $\langle \delta\chi_i \delta x_j \rangle / (\delta\chi_i \delta x_j)$, in percent, from the fit to the branching fractions, $x_i \equiv \Gamma_i/\Gamma_{\text{total}}$. The fit constrains the $x_i$ whose labels appear in this array to sum to one.

<figure><img src="image_729.png" /></figure>

### Ξ⁰ BRANCHING RATIOS

<table><thead><tr><th>Γ(Λγ)/Γ(Λπ<sup>0</sup>)</th><th>Γ<sub>2</sub>/Γ<sub>1</sub></th></tr></thead><tbody><tr><td><strong>1.17±0.07 OUR FIT</strong></td><td></td></tr><tr><td><strong>1.17±0.07 OUR AVERAGE</strong></td><td></td></tr></tbody></table>

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.17±0.07 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>1.17±0.05±0.06</strong></td><td>672</td><td>1 LAI</td><td>04A</td><td>NA48 p Be, 450 GeV</td></tr><tr><td>1.91±0.34±0.19</td><td>31</td><td>2 FANTI</td><td>00</td><td>NA48 p Be, 450 GeV</td></tr><tr><td>1.06±0.12±0.11</td><td>116</td><td>JAMES</td><td>90</td><td>SPEC FNAL hyperons</td></tr></tbody></table>

¹LAI 04A used our 2002 value of 99.5% for the $\Xi^0 \to \Lambda\pi^0$ branching fraction to get $\Gamma(\Xi^0 \to \Lambda\gamma)/\Gamma_{\text{total}} = (1.16 \pm 0.05 \pm 0.06) \times 10^{-3}$. We adjust slightly to go back to what was directly measured.

²FANTI 00 used our 1998 value of 99.5% for the $\Xi^0 \to \Lambda\pi^0$ branching fraction to get $\Gamma(\Xi^0 \to \Lambda\gamma)/\Gamma_{\text{total}} = (1.90 \pm 0.34 \pm 0.19) \times 10^{-3}$. We adjust slightly to go back to what was directly measured.

<table><thead><tr><th>Γ(Λe<sup>+</sup> e<sup>-</sup>)/Γ<sub>total</sub></th><th>Γ<sub>3</sub>/Γ</th></tr></thead><tbody><tr><td><strong>7.6±0.4±0.5</strong></td><td></td></tr></tbody></table>

¹This BATLEY 07C result is consistent with internal bremsstrahlung.

<table><thead><tr><th>Γ(Σ<sup>0</sup>γ)/Γ(Λπ<sup>0</sup>)</th><th>Γ<sub>4</sub>/Γ<sub>1</sub></th></tr></thead><tbody><tr><td><strong>3.35±0.10 OUR FIT</strong></td><td></td></tr><tr><td><strong>3.35±0.10 OUR AVERAGE</strong></td><td></td></tr></tbody></table>

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>3.35±0.10 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>3.35±0.10 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>3.34±0.05±0.09</td><td>4045</td><td>ALAVI-HARATI01C</td><td>KTEV</td><td>p nucleus, 800 GeV</td></tr><tr><td>3.16±0.76±0.32</td><td>17</td><td>1 FANTI</td><td>00</td><td>NA48 p Be, 450 GeV</td></tr><tr><td>3.56±0.42±0.10</td><td>85</td><td>TEIGE</td><td>89</td><td>SPEC FNAL hyperons</td></tr></tbody></table>

¹FANTI 00 used our 1998 value of 99.5% for the $\Xi^0 \to \Lambda\pi^0$ branching fraction to get $\Gamma(\Xi^0 \to \Sigma^0\gamma)/\Gamma_{\text{total}} = (3.14 \pm 0.76 \pm 0.32) \times 10^{-3}$. We adjust slightly to go back to what was directly measured.

<table><thead><tr><th>Γ(Σ<sup>+</sup> e<sup>-</sup>ν<sub>e</sub>)/Γ<sub>total</sub></th><th>Γ<sub>5</sub>/Γ</th></tr></thead><tbody><tr><td><strong>2.52±0.08 OUR FIT</strong></td><td></td></tr><tr><td><strong>2.53±0.08 OUR AVERAGE</strong></td><td></td></tr></tbody></table>

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2.52±0.08 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>2.53±0.08 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>2.51±0.03±0.09</td><td>6101</td><td>BATLEY</td><td>07</td><td>NA48 p Be, 400 GeV</td></tr><tr><td>2.55±0.14±0.10</td><td>419</td><td>1 BATLEY</td><td>07</td><td>NA48 p Be, 400 GeV</td></tr><tr><td>2.71±0.22±0.31</td><td>176</td><td>AFFOLDER</td><td>99</td><td>KTEV p nucleus, 800 GeV</td></tr></tbody></table>

¹This BATLEY 07 result is for $\Xi^0 \to \Sigma^- e^+ \nu_e$ events.

<table><thead><tr><th>Γ(Σ<sup>+</sup> μ<sup>-</sup>ν<sub>μ</sub>)/Γ<sub>total</sub></th><th>Γ<sub>6</sub>/Γ</th></tr></thead><tbody><tr><td><strong>2.3 ±0.4 OUR FIT</strong></td><td></td></tr><tr><td><strong>2.17±0.32±0.17</strong></td><td>66</td><td>1 BATLEY</td><td>13</td><td>NA48 p Be, 400 GeV</td></tr></tbody></table>

<table><thead><tr><th>VALUE (units 10<sup>-6</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2.17±0.32±0.17</strong></td><td>66</td><td>1 BATLEY</td><td>13</td><td>NA48 p Be, 400 GeV</td></tr></tbody></table>

¹BATLEY 13 used $\Xi^0 \to \Sigma^+ e^- \nu_e$ decay as a normalization mode and its branching fraction value of $(2.51 \pm 0.03 \pm 0.09) \times 10^{-4}$ from BATLEY 07.

<table><thead><tr><th>Γ(Σ<sup>+</sup> μ<sup>-</sup>ν<sub>μ</sub>)/Γ(Σ<sup>+</sup> e<sup>-</sup>ν<sub>e</sub>)</th><th>Γ<sub>6</sub>/Γ<sub>5</sub></th></tr></thead><tbody><tr><td><strong>0.0092±0.0015 OUR FIT</strong></td><td></td></tr></tbody></table>

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.018</strong></td><td><strong>+0.007</strong><br><strong>-0.005</strong></td><td>9</td><td>ABOUZAID</td><td>05 KTEV p nucleus 800 GeV</td></tr></tbody></table>
longitudinal polarization given by $P_f = +\alpha_\pi$ [2,3]. The difference of sign is because the spins of the pion and photon are different.

Ξ⁰ → Λγ decay—The radiative decay Ξ⁰ → Λγ of an unpolarized Ξ⁰ uses the hadronic decay Λ → pπ⁻ as the analyzer. As noted above, the longitudinal polarization of the Λ will be $P_Λ = -\alpha_ΞΛγ$. Let α⁻ be the Λ → pπ⁻ asymmetry parameter and θₐp be the angle, as seen in the Λ rest frame, between the Λ line of flight and the proton momentum. Then the hadronic version of Eq. (1) applied to the Λ → pπ⁻ decay gives

$$ \frac{dN}{d \cos \theta_{\Lambda p}} = \frac{N}{2} (1 - \alpha_{\Xi\Lambda\gamma} \alpha_{-} \cos \theta_{\Lambda p}) \quad (3) $$

for the angular distribution of the proton in the Λ frame. Our current value, from the CERN NA48/1 experiment [4], is $\alpha_ΞΛγ = -0.704 \pm 0.019 \pm 0.064$.

Ξ⁰ → Σ⁰γ decay—The asymmetry parameter here, $\alpha_ΞΣγ$, is measured by following the decay chain Ξ⁰ → Σ⁰γ, Σ⁰ → Λγ, Λ → pπ⁻. Again, for an unpolarized Ξ⁰, the longitudinal polarization of the Σ⁰ will be $P_Σ = -\alpha_ΞΣγ$. In the Σ⁰ → Λγ decay, a parity-conserving magnetic-dipole transition, the polarization of the Σ⁰ is transferred to the Λ, as may be seen as follows. Let $\theta_ΣΛ$ be the angle seen in the Σ⁰ rest frame between the Σ⁰ line of flight and the Λ momentum. For Σ⁰ helicity +1/2, the probability amplitudes for positive and negative spin states of the Σ⁰ along the Λ momentum are $\cos(\theta_ΣΛ/2)$ and $\sin(\theta_ΣΛ/2)$. Then the amplitude for a negative helicity photon and a negative helicity Λ is $\cos(\theta_ΣΛ/2)$, while the amplitude for positive helicities for the photon and Λ is $\sin(\theta_ΣΛ/2)$. For Σ⁰ helicity -1/2, the amplitudes are interchanged. If the Σ⁰ has longitudinal polarization $P_Σ$, the probabilities for Λ helicities ±1/2 are therefore

$$ p(\pm 1/2) = \frac{1}{2}(1 \mp P_Σ) \cos^2(\theta_{ΣΛ}/2) + \frac{1}{2}(1 \pm P_Σ) \sin^2(\theta_{ΣΛ}/2), \quad (4) $$

and the longitudinal polarization of the Λ is

$$ P_Λ = -P_Σ \cos \theta_{ΣΛ} = +\alpha_ΞΣγ \cos \theta_{ΣΛ}. \quad (5) $$

Using Eq. (1) for the Λ → pπ⁻ decay again, we get for the joint angular distribution of the Σ⁰ → Λγ, Λ → pπ⁻ chain,

$$ \frac{d^2 N}{d \cos \theta_{\Sigma \Lambda} d \cos \theta_{A p}} = \frac{N}{4} (1 + \alpha_{\Xi \Sigma \gamma} \cos \theta_{\Sigma \Lambda} \alpha_{-} \cos \theta_{A p}). \quad (6) $$

Our current average for $\alpha_ΞΣγ$ is -0.69 ± 0.06 [4,5].

References

1. R.E. Behrends, Phys. Rev. **111**, 1691 (1958); see Eq. (7) or (8).

2. In ancient times, the signs of the asymmetry term in the angular distributions of radiative and hadronic decays of polarized hyperons were sometimes opposite. For roughly 50 years, however, the overwhelming convention has been to make them the same. The aim, not always achieved, is to remove ambiguities.

3. For the definition of $\alpha_π$, see the note on “Baryon Decay Parameters” in the Neutron Listings.

4. J.R. Batley et al., Phys. Lett. **B693**, 241 (2010).

5. A. Alavi-Harati et al., Phys. Rev. Lett. **86**, 3239 (2001).

### α FOR Ξ⁰ → Λγ

See the note above on “Radiative Hyperon Decays.”

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.704±0.019±0.064</td><td>52k</td><td>1 BATLEY</td><td>10B</td><td>NA48 p Be, 400 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>-0.78 ± 0.18 ± 0.06</td><td>672</td><td>LAI</td><td>04A</td><td>NA48</td><td>See BATLEY 10B</td></tr><tr><td>-0.43 ± 0.44</td><td>87</td><td>2 JAMES</td><td>90</td><td>SPEC</td><td>FNAL hyperons</td></tr></tbody></table>

¹BATLEY 10B also measured the Ξ⁰ → Λγ asymmetry to be -0.798 ± 0.064 (no systematic error given) with 4769 events.

²The sign has been changed; see the erratum, JAMES 02.

### α FOR Ξ⁰ → Λe⁺e⁻

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.8±0.2</td><td>397 ± 21</td><td>1 BATLEY</td><td>07C</td><td>NA48 p Be, 400 GeV</td></tr></tbody></table>

¹This BATLEY 07C result is consistent with the asymmetry α for Ξ⁰ → Λγ, as expected if the mechanism is internal bremsstrahlung.

### α FOR Ξ⁰ → Σ⁰γ

See the note above on “Radiative Hyperon Decays.”

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.69 ± 0.06</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>-0.729 ± 0.030 ± 0.076</td><td>15k</td><td>1 BATLEY</td><td>10B</td><td>NA48 p Be, 400 GeV</td></tr><tr><td>-0.63 ± 0.08 ± 0.05</td><td>4045</td><td>ALAVI-HARATI01C</td><td>KTEV</td><td>p nucleus, 800 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>+0.20 ± 0.03 ± 0.05</td><td>85</td><td>2 TEIGE</td><td>89</td><td>SPEC</td><td>FNAL hyperons</td></tr></tbody></table>

¹BATLEY 10B also measured the Ξ⁰ → Σ⁰γ asymmetry to be -0.786 ± 0.104 (no systematic error given) with 1404 events.

²This result has been withdrawn, due to an error. See the erratum, TEIGE 02.

### g₁(0)/f₁(0) FOR Ξ⁰ → Σ⁺e⁻νₑ

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>1.22±0.05 OUR AVERAGE</strong></td></tr><tr><td>1.21±0.05</td><td></td><td>BATLEY</td><td>13</td><td>NA48 p Be, 400 GeV</td></tr><tr><td>1.32<sup>+0.21</sup><sub>-0.17</sub>±0.05</td><td>487</td><td>1 ALAVI-HARATI01I</td><td>KTEV</td><td>p nucleus, 800 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>1.20±0.04±0.03</td><td>6520</td><td>2 BATLEY</td><td>07</td><td>NA48</td><td>See BATLEY 13</td></tr></tbody></table>

¹ALAVI-HARATI 01I assumes here that the second-class current is zero and that the weak-magnetism term takes its exact SU(3) value.

²This BATLEY 07 result uses our 2006 value of $V_{us}$ from semileptonic kaon decays as input.

### g₂(0)/f₁(0)) FOR Ξ⁰ → Σ⁺e⁻νₑ

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-1.7<sup>+2.1</sup><sub>-2.0</sub>±0.5</td><td>487</td><td>1 ALAVI-HARATI01I</td><td>KTEV</td><td>p nucleus, 800 GeV</td></tr></tbody></table>

¹ALAVI-HARATI 01I thus assumes that $g_2 = 0$ in calculating $g_1/f_1$, above.

### f₂(0)/f₁(0) FOR Ξ⁰ → Σ⁺e⁻νₑ

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>2.0±0.9 OUR AVERAGE</strong></td></tr><tr><td>2.0±1.3</td><td></td><td>BATLEY</td><td>13</td><td>NA48 p Be, 400 GeV</td></tr><tr><td>2.0±1.2±0.5</td><td>487</td><td>ALAVI-HARATI01I</td><td>KTEV</td><td>p nucleus, 800 GeV</td></tr></tbody></table>

### Ξ⁰ REFERENCES

<table><tbody><tr><td>ABLIKIM</td><td>23AD PR D108 L011101</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23AP PR D108 L012006</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23AU PR D108 L031106</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>23B PR D107 L012002</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>PDG</td><td>22 PTEP 2022 083C01</td><td>R.L. Workman et al.</td><td>(PDG Collab.)</td></tr><tr><td>BATLEY</td><td>13 PL B720 105</td><td>J.R. Batley et al.</td><td>(CERN NA48/1 Collab.)</td></tr><tr><td>BATLEY</td><td>10B PL B693 241</td><td>J.R. Batley et al.</td><td>(CERN NA48/1 Collab.)</td></tr><tr><td>BATLEY</td><td>07 PL B645 36</td><td>J.R. Batley et al.</td><td>(CERN NA48/1 Collab.)</td></tr><tr><td>BATLEY</td><td>07C PL B650 1</td><td>J.R. Batley et al.</td><td>(CERN NA48 Collab.)</td></tr><tr><td>ABOZAID</td><td>05 PRL 95 081801</td><td>E. Abouzaid et al.</td><td>(FNAL KteV Collab.)</td></tr><tr><td>WHITE</td><td>05 PRL 94 101804</td><td>C.G. White et al.</td><td>(FNAL HyperCP Collab.)</td></tr><tr><td>LAI</td><td>04A PL B504 251</td><td>A. Lai et al.</td><td>(CERN NA48 Collab.)</td></tr><tr><td>JAMES</td><td>02 PRL 89 169901 (errat.)</td><td>C. James et al.</td><td>(MINN, MICH, WISC, RUTG)</td></tr><tr><td>TEIGE</td><td>02 PRL 89 169902 (errat.)</td><td>S. Teige et al.</td><td>(RUTG, MICH, MINN)</td></tr><tr><td>ALAVI-HARATI</td><td>01C PRL 86 3239</td><td>A. Alavi-Harati et al.</td><td>(FNAL KteV Collab.)</td></tr><tr><td>ALAVI-HARATI</td><td>01I PRL 87 132001</td><td>A. Alavi-Harati et al.</td><td>(FNAL KteV Collab.)</td></tr><tr><td>FANTI</td><td>00 EPI C12 69</td><td>V. Fanti et al.</td><td>(CERN NA48 Collab.)</td></tr><tr><td>AFFOLDER</td><td>99 PRL 82 3751</td><td>A. Affolder et al.</td><td>(CERN NA48 Collab.)</td></tr><tr><td>JAMES</td><td>90 PRL 64 843</td><td>C. James et al.</td><td>(MINN, MICH, WISC, RUTG)</td></tr><tr><td>TEIGE</td><td>89 PRL 63 2717</td><td>S. Teige et al.</td><td>(RUTG, MICH, MINN)</td></tr><tr><td>HANDLER</td><td>82 PR D25 639</td><td>R. Handler et al.</td><td>(WISC, MICH, MINN+)</td></tr><tr><td>COX</td><td>81 PRL 46 877</td><td>P.T. Cox et al.</td><td>(MICH, WISC, RUTG, MINN+)</td></tr><tr><td>BUNCE</td><td>79 PRL 86B 386</td><td>G.R.M. Bunce et al.</td><td>(BNL MICH, RUTG+)</td></tr><tr><td>BUNCE</td><td>78 PR D18 633</td><td>G.R.M. Bunce et al.</td><td>(WISC, MICH, RUTG)</td></tr><tr><td>ZECH</td><td>77 NP B124 413</td><td>G. Zech et al.</td><td>(SIEG, CERN, DORT, HEIDH)</td></tr><tr><td>GEWENIGER</td><td>75 PL 57B 193</td><td>C. Geweniger et al.</td><td>(CERN, HEIDH)</td></tr><tr><td>BALTAY</td><td>74 PR D9 49</td><td>C. Baltay et al.</td><td>(COLU, BING)</td></tr><tr><td>YEH</td><td>74 PR D10 3545</td><td>N. Yeh et al.</td><td>(BING, COLU)</td></tr><tr><td>MAYEUR</td><td>72 NP B47 333</td><td>C. Mayeur et al.</td><td>(BRUX, CERN, TUFTS, LOUC)</td></tr><tr><td>Also</td><td>NP B53 268 (errat.)</td><td>C. Mayeur</td><td></td></tr><tr><td>WILQUET</td><td>72 PL 42B 372</td><td>G. Wilquet et al.</td><td>(BRUX, CERN, TUFTS+)</td></tr><tr><td>DAUBER</td><td>69 PR 179 1262</td><td>P.M. Dauber et al.</td><td>(LRL)</td></tr><tr><td>PALMER</td><td>68 PL 26B 323</td><td>R.B. Palmer et al.</td><td>(BNL, SYRA)</td></tr><tr><td>BERGE</td><td>66 PR 147 945</td><td>J.P. Berge et al.</td><td>(LRL)</td></tr><tr><td>HUBBARD</td><td>66 Thesis UCR1 11510</td><td>J.R. Hubbard</td><td>(LRL)</td></tr><tr><td>LONDON</td><td>66 PR 143 1034</td><td>G.W. London et al.</td><td>(BNL, SYRA)</td></tr><tr><td>PJERROU</td><td>65B PRL 14 275</td><td>G.M. Pjerrou et al.</td><td>(UCLA)</td></tr><tr><td>Also</td><td>Thesis</td><td>G.M. Pjerrou</td><td>(UCLA)</td></tr><tr><td>CARMONY</td><td>64B PR 12 482</td><td>D.D. Carmony et al.</td><td>(UCLA)</td></tr><tr><td>HUBBARD</td><td>64 PR 135 B183</td><td>J.R. Hubbard et al.</td><td>(LRL)</td></tr><tr><td>JAUNEAU</td><td>63 PL 4 49</td><td>L. Jauneau et al.</td><td>(EPOL, CERN, LOUC+)</td></tr><tr><td>Also</td><td>Siena Conf. 1 1</td><td>L. Jauneau et al.</td><td>(EPOL, CERN, LOUC+)</td></tr></tbody></table>
<figure><img src="image_730.png" /></figure>

$I(J^P) = \frac{1}{2}(\frac{1}{2}^+) \text{ Status: } ****$

The parity has not actually been measured, but + is of course expected.

We have omitted some results that have been superseded by later experiments. See our earlier editions.

### Ξ⁻ MASS

The fit uses the $Ξ⁻$, $Ξ⁺$, and $Ξ⁰$ masses and the $Ξ⁻ - Ξ⁺$ mass difference. It assumes that the $Ξ⁻$ and $Ξ⁺$ masses are the same.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1321.71 ± 0.07 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>1321.70 ± 0.08 ± 0.05</strong></td><td>2478 ± 68</td><td>ABDALLAH</td><td>06E</td><td>DLPH from Z decays</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1321.46 ± 0.34</td><td>632</td><td>DIBIANCA</td><td>75</td><td>DBC 4.9 GeV/c K<sup>-</sup> d</td></tr><tr><td>1321.12 ± 0.41</td><td>268</td><td>WILQUET</td><td>72</td><td>HLBC</td></tr><tr><td>1321.87 ± 0.51</td><td>195</td><td>1 GOLDWASSER</td><td>70</td><td>HBC 5.5 GeV/c K<sup>-</sup> p</td></tr><tr><td>1321.67 ± 0.52</td><td>6</td><td>CHIEN</td><td>66</td><td>HBC 6.9 GeV/c p̄p</td></tr><tr><td>1321.4 ± 1.1</td><td>299</td><td>LONDON</td><td>66</td><td>HBC</td></tr><tr><td>1321.3 ± 0.4</td><td>149</td><td>PJERROU</td><td>65b</td><td>HBC</td></tr><tr><td>1321.1 ± 0.3</td><td>241</td><td>2 BADIER</td><td>64</td><td>HBC</td></tr><tr><td>1321.4 ± 0.4</td><td>517</td><td>2 JAUNEAU</td><td>63d</td><td>FBC</td></tr><tr><td>1321.1 ± 0.65</td><td>62</td><td>2 SCHNEIDER</td><td>63</td><td>HBC</td></tr></tbody></table>

¹GOLDWASSER 70 uses $m_Λ = 1115.58$ MeV.

²These masses have been increased 0.09 MeV because the $Λ$ mass increased.

### Ξ⁺ MASS

The fit uses the $Ξ⁻$, $Ξ⁺$, and $Ξ⁰$ masses and the $Ξ⁻ - Ξ⁺$ mass difference. It assumes that the $Ξ⁻$ and $Ξ⁺$ masses are the same.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1321.71 ± 0.07 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>1321.73 ± 0.08 ± 0.05</strong></td><td>2256 ± 63</td><td>ABDALLAH</td><td>06E</td><td>DLPH from Z decays</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1321.6 ± 0.8</td><td>35</td><td>VOTRUBA</td><td>72</td><td>HBC 10 GeV/c K<sup>+</sup> p</td></tr><tr><td>1321.2 ± 0.4</td><td>34</td><td>STONE</td><td>70</td><td>HBC</td></tr><tr><td>1320.69 ± 0.93</td><td>5</td><td>CHIEN</td><td>66</td><td>HBC 6.9 GeV/c p̄p</td></tr></tbody></table>

### $(m_Ξ⁻ - m_Ξ⁺) / m_Ξ⁻$

A test of CPT invariance.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>(-2.5 ± 8.7) × 10<sup>-5</sup></td><td>ABDALLAH</td><td>06E</td><td>DLPH from Z decays</td></tr></tbody></table>

### Ξ⁻ MEAN LIFE

Measurements with an error > 0.2 × 10⁻¹⁰ s or with systematic errors not included have been omitted.

<table><thead><tr><th>VALUE (10<sup>-10</sup> s)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.639 ± 0.015 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>1.65 ± 0.07 ± 0.12</td><td>2478 ± 68</td><td>ABDALLAH</td><td>06E</td><td>DLPH from Z decays</td></tr><tr><td>1.652 ± 0.051</td><td>32k</td><td>BOURQUIN</td><td>84</td><td>SPEC Hyperon beam</td></tr><tr><td>1.665 ± 0.065</td><td>41k</td><td>BOURQUIN</td><td>79</td><td>SPEC Hyperon beam</td></tr><tr><td>1.609 ± 0.028</td><td>4286</td><td>HEMINGWAY</td><td>78</td><td>HBC 4.2 GeV/c K<sup>-</sup> p</td></tr><tr><td>1.67 ± 0.08</td><td></td><td>DIBIANCA</td><td>75</td><td>DBC 4.9 GeV/c K<sup>-</sup> d</td></tr><tr><td>1.63 ± 0.03</td><td>4303</td><td>BALTAY</td><td>74</td><td>HBC 1.75 GeV/c K<sup>-</sup> p</td></tr><tr><td>1.73 <sup>+0.08</sup><sub>-0.07</sub></td><td>680</td><td>MAYEUR</td><td>72</td><td>HLBC 2.1 GeV/c K<sup>-</sup></td></tr><tr><td>1.61 ± 0.04</td><td>2610</td><td>DAUBER</td><td>69</td><td>HBC</td></tr><tr><td>1.80 ± 0.16</td><td>299</td><td>LONDON</td><td>66</td><td>HBC</td></tr><tr><td>1.70 ± 0.12</td><td>246</td><td>PJERROU</td><td>65b</td><td>HBC</td></tr><tr><td>1.69 ± 0.07</td><td>794</td><td>HUBBARD</td><td>64</td><td>HBC</td></tr><tr><td>1.86 <sup>+0.15</sup><sub>-0.14</sub></td><td>517</td><td>JAUNEAU</td><td>63d</td><td>FBC</td></tr></tbody></table>

### Ξ⁺ MEAN LIFE

<table><thead><tr><th>VALUE (10<sup>-10</sup> s)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.70 ± 0.08 ± 0.12</strong></td><td>2256 ± 63</td><td>ABDALLAH</td><td>06E</td><td>DLPH from Z decays</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1.55 <sup>+0.35</sup><sub>-0.20</sub></td><td>35</td><td>1 VOTRUBA</td><td>72</td><td>HBC 10 GeV/c K<sup>+</sup> p</td></tr><tr><td>1.6 ± 0.3</td><td>34</td><td>STONE</td><td>70</td><td>HBC</td></tr><tr><td>1.9 <sup>+0.7</sup><sub>-0.5</sub></td><td>12</td><td>1 SHEN</td><td>67</td><td>HBC</td></tr><tr><td>1.51 ± 0.55</td><td>5</td><td>1 CHIEN</td><td>66</td><td>HBC 6.9 GeV/c p̄p</td></tr></tbody></table>

¹The error is statistical only.

### $(\tau_{Ξ⁻} - \tau_{Ξ⁺}) / \tau_{Ξ⁻}$

A test of CPT invariance.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.01 ± 0.07</td><td>ABDALLAH</td><td>06E</td><td>DLPH from Z decays</td></tr></tbody></table>

### Ξ⁻ MAGNETIC MOMENT

See the “Quark Model” review.

<table><thead><tr><th>VALUE (μ<sub>N</sub>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>-0.6507 ± 0.0025 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>-0.6505 ± 0.0025</td><td>4.36M</td><td>DURYEA</td><td>92</td><td>SPEC 800 GeV p Be</td></tr><tr><td>-0.661 ± 0.036 ± 0.036</td><td>44k</td><td>TROST</td><td>89</td><td>SPEC Ξ⁻ ~ 250 GeV</td></tr><tr><td>-0.69 ± 0.04</td><td>218k</td><td>RAMEIKA</td><td>84</td><td>SPEC 400 GeV pBe</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-0.674 ± 0.021 ± 0.020</td><td>122k</td><td>HO</td><td>90</td><td>SPEC See DURYEA 92</td></tr><tr><td>-2.1 ± 0.8</td><td>2436</td><td>COOL</td><td>74</td><td>OSPK 1.8 GeV/c K<sup>-</sup> p</td></tr><tr><td>-0.1 ± 2.1</td><td>2724</td><td>BINGHAM</td><td>70b</td><td>OSPK 1.8 GeV/c K<sup>-</sup> p</td></tr></tbody></table>

### Ξ⁺ MAGNETIC MOMENT

See the “Quark Model” review.

<table><thead><tr><th>VALUE (μ<sub>N</sub>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>+0.657 ± 0.028 ± 0.020</td><td>70k</td><td>HO</td><td>90</td><td>SPEC 800 GeV pBe</td></tr></tbody></table>

### $(μ_{Ξ⁻} + μ_{Ξ⁺}) / |μ_{Ξ⁻}|$

A test of CPT invariance. We calculate this from the $Ξ⁻$ and $Ξ⁺$ magnetic moments above.

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th></tr></thead><tbody><tr><td>+0.01 ± 0.05 OUR EVALUATION</td><td></td></tr></tbody></table>

### Ξ⁻ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Λπ<sup>-</sup></td><td>(99.887 ± 0.035) %</td><td></td></tr><tr><td>Γ<sub>2</sub> Σ<sup>-</sup>γ</td><td>(1.27 ± 0.23) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>3</sub> Λēν<sub>e</sub></td><td>(5.63 ± 0.31) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>4</sub> Λμ<sup>-</sup>ν<sub>μ</sub></td><td>(3.5 <sup>+3.5</sup><sub>-2.2</sub>) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>5</sub> Σ<sup>0</sup> ēν<sub>e</sub></td><td>(8.7 ± 1.7) × 10<sup>-5</sup></td><td></td></tr><tr><td>Γ<sub>6</sub> Σ<sup>0</sup> μ<sup>-</sup>ν<sub>μ</sub></td><td>< 8</td><td>90%</td></tr><tr><td>Γ<sub>7</sub> Ξ<sup>0</sup> ēν<sub>e</sub></td><td>< 2.59</td><td>90%</td></tr></tbody></table>

### ΔS = 2 forbidden (S2) modes

<table><tbody><tr><td>Γ<sub>8</sub> nπ<sup>-</sup></td><td>S2</td><td>< 1.9</td><td>× 10<sup>-5</sup></td><td>90%</td></tr><tr><td>Γ<sub>9</sub> nēν<sub>e</sub></td><td>S2</td><td>< 3.2</td><td>× 10<sup>-3</sup></td><td>90%</td></tr><tr><td>Γ<sub>10</sub> nμ<sup>-</sup>ν<sub>μ</sub></td><td>S2</td><td>< 1.5</td><td>%</td><td>90%</td></tr><tr><td>Γ<sub>11</sub> pπ<sup>-</sup>π<sup>-</sup></td><td>S2</td><td>< 4</td><td>× 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>12</sub> pπ<sup>-</sup> ēν<sub>e</sub></td><td>S2</td><td>< 4</td><td>× 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>13</sub> pπ<sup>-</sup> μ<sup>-</sup>ν<sub>μ</sub></td><td>S2</td><td>< 4</td><td>× 10<sup>-4</sup></td><td>90%</td></tr><tr><td>Γ<sub>14</sub> pπ<sup>-</sup> μ<sup>-</sup></td><td>L</td><td>< 4</td><td>× 10<sup>-8</sup></td><td>90%</td></tr></tbody></table>

### CONSTRAINED FIT INFORMATION

An overall fit to 4 branching ratios uses 5 measurements and one constraint to determine 5 parameters. The overall fit has a $χ² = 1.0$ for 1 degrees of freedom.

The following off-diagonal array elements are the correlation coefficients $\langle\delta x_i \delta x_j\rangle / (\delta x_i \delta x_j)$, in percent, from the fit to the branching fractions, $x_i \equiv \Gamma_i / \Gamma_{\text{total}}$. The fit constrains the $x_i$ whose labels appear in this array to sum to one.

<figure><img src="image_731.png" /></figure>
Ξ⁻ BRANCHING RATIOS

A number of early results have been omitted.

$$ \Gamma(\Sigma^{-}\gamma)/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_2/\Gamma_1 $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-4}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

1.27±0.24 OUR FIT

1.27±0.23 OUR AVERAGE

<table><tr><td>1.22±0.23±0.06</td><td>211</td><td>1 DUBBS</td><td>94</td><td>E761</td><td>Ξ⁻ 375 GeV</td></tr><tr><td>2.27±1.02</td><td>9</td><td>BIAGI</td><td>87B</td><td>SPEC</td><td>SPS hyperon beam</td></tr></table>

1 DUBBS 94 also finds weak evidence that the asymmetry parameter $\alpha_{\gamma}$ is positive ($\alpha_{\gamma} = 1.0 \pm 1.3$).

$$ \Gamma(\Lambda e^{-}\bar{\nu}_{e})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_3/\Gamma_1 $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

0.564±0.031 OUR FIT

<table><tr><td>0.564±0.031</td><td>2857</td><td>BOURQUIN</td><td>83</td><td>SPEC</td><td>SPS hyperon beam</td></tr><tr><td>0.30±0.13</td><td>11</td><td>THOMPSON</td><td>80</td><td>ASPK</td><td>Hyperon beam</td></tr></table>

$$ \Gamma(\Lambda\mu^{-}\bar{\nu}_{\mu})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_4/\Gamma_1 $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

0.35+0.35/-0.22 OUR FIT

<table><tr><td>0.35±0.35</td><td>1</td><td>YEH</td><td>74</td><td>HBC</td><td>Effective denom.=2859</td></tr></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>&lt;2.3</td><td>90</td><td>0</td><td>THOMPSON</td><td>80</td><td>ASPK</td><td>Effective denom.=1017</td></tr><tr><td>&lt;1.3</td><td></td><td></td><td>DAUBER</td><td>69</td><td>HBC</td><td></td></tr><tr><td>&lt;12</td><td></td><td></td><td>BERGE</td><td>66</td><td>HBC</td><td></td></tr></table>

$$ \Gamma(\Sigma^{0}e^{-}\bar{\nu}_{e})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_5/\Gamma_1 $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

0.087±0.017 OUR FIT

<table><tr><td>0.087±0.017</td><td>154</td><td>BOURQUIN</td><td>83</td><td>SPEC</td><td>SPS hyperon beam</td></tr></table>

$$ \left[\Gamma(\Lambda e^{-}\bar{\nu}_{e}) + \Gamma(\Sigma^{0}e^{-}\bar{\nu}_{e})\right]/\Gamma(\Lambda\pi^{-}) \qquad (\Gamma_{3}+\Gamma_{5})/\Gamma_{1} $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>0.651±0.031</td><td>3011</td><td>1 BOURQUIN</td><td>83</td><td>SPEC</td><td>SPS hyperon beam</td></tr><tr><td>0.68±0.22</td><td>17</td><td>2 DUCLOS</td><td>71</td><td>OSPK</td><td></td></tr></table>

1 See the separate BOURQUIN 83 values for $\Gamma(\Lambda e^{-}\bar{\nu}_{e})/\Gamma(\Lambda\pi^{-})$ and $\Gamma(\Sigma^{0}e^{-}\bar{\nu}_{e})/\Gamma(\Lambda\pi^{-})$ above.

2 DUCLOS 71 cannot distinguish $\Sigma^{0}$'s from $\Lambda$'s. The Cabibbo theory predicts the $\Sigma^{0}$ rate is about a factor 6 smaller than the $\Lambda$ rate.

$$ \Gamma(\Sigma^{0}\mu^{-}\bar{\nu}_{\mu})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_6/\Gamma_1 $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

<0.76

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>&lt;5</td><td></td><td>BERGE</td><td>66</td><td>HBC</td><td></td></tr></table>

$$ \Gamma(\Xi^{0}e^{-}\bar{\nu}_{e})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_7/\Gamma $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-4}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

<2.59×10⁻⁴

$$ \Gamma(\Xi^{0}e^{-}\bar{\nu}_{e})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_7/\Gamma_1 $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>&lt;2.3×10⁻³</td><td>90</td><td>YEH</td><td>74</td><td>HBC</td><td>Effective denom.=1000</td></tr></table>

$$ \Gamma(n\pi^{-})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_8/\Gamma_1 $$

ΔS=2. Forbidden in first-order weak interaction.

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

<0.019

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>&lt;3.0</td><td>90</td><td>0</td><td>YEH</td><td>74</td><td>HBC</td><td>Effective denom.=760</td></tr><tr><td>&lt;1.1</td><td></td><td></td><td>DAUBER</td><td>69</td><td>HBC</td><td></td></tr><tr><td>&lt;5.0</td><td></td><td></td><td>FERRO-LUZZI</td><td>63</td><td>HBC</td><td></td></tr></table>

$$ \Gamma(ne^{-}\bar{\nu}_{e})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_9/\Gamma_1 $$

ΔS=2. Forbidden in first-order weak interaction.

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

<3.2

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>&lt;10</td><td>90</td><td>BINGHAM</td><td>65</td><td>RVUE</td><td></td></tr></table>

$$ \Gamma(\eta\mu^{-}\bar{\nu}_{\mu})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_{10}/\Gamma_1 $$

ΔS=2. Forbidden in first-order weak interaction.

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{CL%} \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

<15.3

<table><tr><td>90</td><td>0</td><td>YEH</td><td>74</td><td>HBC</td><td>Effective denom.=150</td></tr></table>

$$ \Gamma(\rho\pi^{-}\pi^{-})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_{11}/\Gamma_1 $$

ΔS=2. Forbidden in first-order weak interaction.

<table><tr><td>VALUE (units } 10<sup>-4</sup>)</td><td>CL%</td><td>EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;3.7</td><td>90</td><td>0</td><td>YEH</td><td>74</td><td>HBC</td><td>Effective denom.=6200</td></tr></table>

$$ \Gamma(\rho\pi^{-}e^{-}\bar{\nu}_{e})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_{12}/\Gamma_1 $$

ΔS=2. Forbidden in first-order weak interaction.

<table><tr><td>VALUE (units } 10<sup>-4</sup>)</td><td>CL%</td><td>EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;3.7</td><td>90</td><td>0</td><td>YEH</td><td>74</td><td>HBC</td><td>Effective denom.=6200</td></tr></table>

$$ \Gamma(\rho\pi^{-}\mu^{-}\bar{\nu}_{\mu})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_{13}/\Gamma_1 $$

ΔS=2. Forbidden in first-order weak interaction.

<table><tr><td>VALUE (units } 10<sup>-4</sup>)</td><td>CL%</td><td>EVTS</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;3.7</td><td>90</td><td>0</td><td>YEH</td><td>74</td><td>HBC</td><td>Effective denom.=6200</td></tr></table>

$$ \Gamma(\rho\mu^{-}\mu^{-})/\Gamma(\Lambda\pi^{-}) \qquad \Gamma_{14}/\Gamma_1 $$

A ΔL=2 decay, forbidden by total lepton number conservation.

<table><tr><td>VALUE (units } 10<sup>-8</sup>)</td><td>CL%</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;4.0</td><td>90</td><td>RAJARAM</td><td>05</td><td>HYCP</td><td>p Cu, 800 GeV</td></tr></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>&lt;3.7×10<sup>4</sup></td><td>90</td><td>1 LITTENBERG</td><td>92B</td><td>HBC</td><td>Uses YEH 74 data</td></tr></table>

1 This LITTENBERG 92B limit and the identical YEH 74 limits for the preceding three modes all result from nonobservance of any 3-prong decays of the $\Xi^{-}$. One could as well apply the limit to the sum of the four modes.

Ξ DECAY PARAMETERS

See the "Note on Baryon Decay Parameters" in the neutron Listings.

$$ \alpha(\Xi^{-})\alpha_{-}(\Lambda) \qquad \text{OUR FIT value is obtained from measurements of } \alpha(\Xi^{-}), \alpha_{-}(\Lambda), \text{ and } \alpha(\Xi^{-})\alpha_{-}(\Lambda). $$

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

-0.291 ±0.004 OUR FIT Error includes scale factor of 1.8.

-0.294 ±0.005 OUR AVERAGE Error includes scale factor of 1.7. See the ideogram below.

<table><tr><td>-0.2963±0.0042</td><td>189k</td><td>LUK</td><td>00</td><td>E756</td><td>p Be, 800 GeV</td></tr><tr><td>-0.2894±0.0073</td><td>63k</td><td>1 LUK</td><td>00</td><td>E756</td><td>p Be, 800 GeV</td></tr><tr><td>-0.303 ±0.004 ±0.004</td><td>192k</td><td>RAMEIKA</td><td>86</td><td>SPEC</td><td>400 GeV p Be</td></tr><tr><td>-0.257 ±0.020</td><td>11k</td><td>ASTON</td><td>85b</td><td>LASS</td><td>11 GeV/c K<sup>-</sup> p</td></tr><tr><td>-0.260 ±0.017</td><td>21k</td><td>BENSINGER</td><td>85</td><td>MPS</td><td>5 GeV/c K<sup>-</sup> p</td></tr><tr><td>-0.299 ±0.007</td><td>150k</td><td>BIAGI</td><td>82</td><td>SPEC</td><td>SPS hyperon beam</td></tr><tr><td>-0.315 ±0.026</td><td>9046</td><td>CLELAND</td><td>80c</td><td>ASPK</td><td>BNL hyperon beam</td></tr><tr><td>-0.239 ±0.021</td><td>6599</td><td>HEMINGWAY</td><td>78</td><td>HBC</td><td>4.2 GeV/c K<sup>-</sup> p</td></tr><tr><td>-0.243 ±0.025</td><td>4303</td><td>BALTAY</td><td>74</td><td>HBC</td><td>1.75 GeV/c K<sup>-</sup> p</td></tr><tr><td>-0.252 ±0.032</td><td>2436</td><td>COOL</td><td>74</td><td>OSPK</td><td>1.8 GeV/c K<sup>-</sup> p</td></tr><tr><td>-0.253 ±0.028</td><td>2781</td><td>DAUBER</td><td>69</td><td>HBC</td><td></td></tr></table>

1 This LUK 00 value is for $\alpha(\Xi^{+})\alpha_{+}(\Lambda)$. We assume CP conservation here by including it in the average for $\alpha(\Xi^{-})\alpha_{-}(\Lambda)$. But see the second data block below for the CP test.

WEIGHTED AVERAGE
-0.294±0.005 (Error scaled by 1.7)

<figure><img src="image_732.png" /></figure>

$$ \alpha(\Xi^{-}) \text{ for } \Xi^{-} \rightarrow \Lambda\pi^{-} $$

OUR FIT value is obtained from measurements of $\alpha(\Xi^{-})$, $\alpha_{-}(\Lambda)$, and $\alpha(\Xi^{-})\alpha_{-}(\Lambda)$.

$$ \begin{array}{l} \text{VALUE (units } 10^{-3}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} $$

-0.390±0.007 OUR FIT Error includes scale factor of 2.0.

-0.376±0.007±0.003 73k ABLIKIM 22AD BES3 J/ψ → ΞΞ → ΛΛππ

• • • We do not use the following data for averages, fits, limits, etc. • • •

-0.344±0.025±0.007 5.4k ABLIKIM 22BE BES3 ψ(3686) → ΞΞ → ΛΛππ
$$ \alpha(\Xi^+) \text{ for } \Xi^+ \to \bar{\Lambda}\pi^+ $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.371 ± 0.007 ± 0.002</td><td>73k</td><td>ABLIKIM</td><td>22AD BES3</td><td>J/ψ → ΞΞ → Λ¯Λππ</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>0.355 ± 0.025 ± 0.002</td><td>5.4k</td><td>ABLIKIM</td><td>22BE BES3</td><td>ψ(3686) → ΞΞ → Λ¯Λππ</td></tr></tbody></table>

$$ (\alpha + \bar{\alpha}) / (\alpha - \bar{\alpha}) \text{ for } \Xi^- \to \Lambda\pi^-, \Xi^+ \to \bar{\Lambda}\pi^+ $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>6 ± 13 ± 6</td><td>73k</td><td>ABLIKIM</td><td>22AD BES3</td><td>J/ψ → ΞΞ → Λ¯Λππ</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>-15 ± 51 ± 10</td><td>5.4k</td><td>ABLIKIM</td><td>22BE BES3</td><td>ψ(3686) → ΞΞ → Λ¯Λππ</td></tr></tbody></table>

$$ [\alpha(\Xi^-) - \alpha(\Lambda^-) - \alpha(\Xi^+) + \alpha(\Lambda^+)] / [\alpha(\Xi^-) - \alpha(\Lambda^-) + \alpha(\Xi^+) - \alpha(\Lambda^+)] $$

This is zero if CP is conserved. The α's are the decay-asymmetry parameters for Ξ⁻ → Λπ⁻ and Λ⁻ → pπ⁻ and for Ξ⁺ → Λπ⁺ and Λ⁺ → pπ⁺.

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0 ± 5.1 ± 4.4</td><td>158M</td><td>HOLSTROM 04</td><td>HYCP</td><td>p Cu, 800 GeV</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>+120 ± 140</td><td>252k</td><td>LUK</td><td>00</td><td>E756</td><td>p Be, 800 GeV</td></tr></tbody></table>

$$ \phi \text{ ANGLE FOR } \Xi^- \to \Lambda\pi^- $$

<table><thead><tr><th>VALUE (°)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5">-1.2 ± 1.0 OUR AVERAGE Error includes scale factor of 1.4. See the ideogram below.</td></tr></tbody></table>

<table><tbody><tr><td>0.63 ± 1.09 ± 0.52</td><td>73k</td><td>1 ABLIKIM</td><td>22AD BES3</td><td>J/ψ → ΞΞ → Λ¯Λππ</td></tr><tr><td>-2.39 ± 0.64 ± 0.64</td><td>144M</td><td>2 HUANG</td><td>04</td><td>HYCP</td><td>p Cu, 800 GeV</td></tr><tr><td>-1.61 ± 2.66 ± 0.37</td><td>1.35M</td><td>3 CHAKRAVO...</td><td>03</td><td>E756</td><td>p Be, 800 GeV</td></tr><tr><td>5 ± 10</td><td>11k</td><td>ASTON</td><td>85B</td><td>LASS</td><td>K<sup>-</sup> p</td></tr><tr><td>14.7 ± 16.0</td><td>21k</td><td>4 BENSINGER</td><td>85</td><td>MPS</td><td>5 GeV/c K<sup>-</sup> p</td></tr><tr><td>11 ± 9</td><td>4303</td><td>BALTAY</td><td>74</td><td>HBC</td><td>1.75 GeV/c K<sup>-</sup> p</td></tr><tr><td>5 ± 16</td><td>2436</td><td>COOL</td><td>74</td><td>OSPK</td><td>1.8 GeV/c K<sup>-</sup> p</td></tr><tr><td>-14 ± 11</td><td>2781</td><td>DAUBER</td><td>69</td><td>HBC</td><td>Uses α<sub>Λ</sub> = 0.647 ± 0.020</td></tr><tr><td>0 ± 12</td><td>1004</td><td>5 BERGE</td><td>66</td><td>HBC</td><td></td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>1.32 ± 4.24 ± 0.17</td><td>5.4k</td><td>6 ABLIKIM</td><td>22BE BES3</td><td>ψ(3686) → ΞΞ → Λ¯Λππ</td></tr><tr><td>-26 ± 30</td><td>2724</td><td>BINGHAM</td><td>70B</td><td>OSPK</td><td></td></tr><tr><td>0 ± 20.4</td><td>364</td><td>5 LONDON</td><td>66</td><td>HBC</td><td>Using α<sub>Λ</sub>=0.62</td></tr><tr><td>54 ± 30</td><td>356</td><td>5 CARMONY</td><td>64B</td><td>HBC</td><td></td></tr></tbody></table>

1. Converted from radians to degrees. ABLIKIM 22AD reports a value of 0.011 ± 0.019 ± 0.009 radians.

2. From this result and $\alpha_\Xi$, HUANG 04 gets $\beta_\Xi = -0.037 \pm 0.011 \pm 0.010$ and $\gamma_\Xi = 0.888 \pm 0.0004 \pm 0.006$. And the strong p-s phase difference for $\Lambda\pi^-$ scattering is $(4.6 \pm 1.4 \pm 1.2)^\circ$.

3. From this result and $\alpha_\Xi$, CHAKRAVORTY 03 obtains $\beta_\Xi = -0.025 \pm 0.042 \pm 0.006$ and $\gamma_\Xi = 0.889 \pm 0.001 \pm 0.007$. And the strong p-s phase difference for $\Lambda\pi^-$ scattering is $(3.17 \pm 5.28 \pm 0.73)^\circ$.

4. BENSINGER 85 used $\alpha_\Lambda = 0.642 \pm 0.013$.

5. The errors have been multiplied by 1.2 due to approximations used for the Ξ polarization; see DAUBER 69 for a discussion.

6. Converted from radians to degrees. ABLIKIM 22BE reports a value of 0.023 ± 0.074 ± 0.003 radians.

<figure><img src="image_733.png" /><figcaption>WEIGHTED AVERAGE
-1.2±1.0 (Error scaled by 1.4)</figcaption></figure>

$$ (\tan\phi = \beta/\gamma) (°) $$

$$ \phi \text{ ANGLE FOR } \Xi^+ \to \bar{\Lambda}\pi^+ $$

$$ (\tan\phi = \beta/\gamma) $$

<table><thead><tr><th>VALUE (°)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-1.20 ± 1.09 ± 0.40</td><td>73k</td><td>1 ABLIKIM</td><td>22AD BES3</td><td>J/ψ → ΞΞ → Λ¯Λππ</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>-7.05 ± 4.18 ± 0.23</td><td>5.4k</td><td>2 ABLIKIM</td><td>22BE BES3</td><td>ψ(3686) → ΞΞ → Λ¯Λππ</td></tr></tbody></table>

1. Converted from radians to degrees. ABLIKIM 22AD reports a value of -0.021 ± 0.019 ± 0.007 radians.

2. Converted from radians to degrees. ABLIKIM 22BE reports a value of -0.123 ± 0.073 ± 0.004 radians.

$$ \Delta\Phi_{CP} = (\Phi_{-} + \Phi_{+})/2 $$

<table><thead><tr><th>VALUE (°)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.28 ± 0.78 ± 0.17</td><td>73k</td><td>1 ABLIKIM</td><td>22AD BES3</td><td>J/ψ → ΞΞ → Λ¯Λππ</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>-2.86 ± 2.98 ± 0.17</td><td>5.4k</td><td>2 ABLIKIM</td><td>22BE BES3</td><td>ψ(3686) → ΞΞ → Λ¯Λππ</td></tr></tbody></table>

1. Converted from radians to degrees. ABLIKIM 22AD reports a value of (-0.5 ± 1.4 ± 0.3) × 10⁻² radians.

2. Converted from radians to degrees. ABLIKIM 22BE reports a value of (-5.0 ± 5.2 ± 0.3) × 10⁻² radians.

$$ g_A / g_V \text{ FOR } \Xi^- \to \Lambda e^- \nu_e $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.25 ± 0.05</td><td>1992</td><td>1 BOURQUIN</td><td>83</td><td>SPEC SPS hyperon beam</td></tr></tbody></table>

1. BOURQUIN 83 assumes that $g_2 = 0$. Also, the sign has been changed to agree with our conventions, given in the "Note on Baryon Decay Parameters" in the neutron Listings.

### Ξ⁻ REFERENCES

We have omitted some papers that have been superseded by later experiments. See our earlier editions.

<table><tbody><tr><td>ABLIKIM</td><td>22AD NAT 606 64</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>22BE PR D106 L91101</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>21AH PR D104 072007</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABDALLAH</td><td>06E PL B639 179</td><td>J. Abdallah et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>RAJARAM</td><td>05 PRL 94 181801</td><td>D. Rajaram et al.</td><td>(FNAL HyperCP Collab.)</td></tr><tr><td>HOLMSTROM</td><td>04 PRL 93 262001</td><td>T. Holmstrom et al.</td><td>(FNAL HyperCP Collab.)</td></tr><tr><td>HUANG</td><td>04 PRL 93 181002</td><td>M. Huang et al.</td><td>(FNAL HyperCP Collab.)</td></tr><tr><td>CHAKRAVO...</td><td>03 PRL 91 031601</td><td>A. Chakravorty et al.</td><td>(FNAL E756 Collab.)</td></tr><tr><td>LUK</td><td>00 PRL 85 4860</td><td>K.B. Luk et al.</td><td>(FNAL E756 Collab.)</td></tr><tr><td>DUBBS</td><td>94 PRL 72 808</td><td>T. Dubbs et al.</td><td>(FNAL E761 Collab.)</td></tr><tr><td>DURYEA</td><td>92 PRL 68 768</td><td>J. Duryea et al.</td><td>(MINN, FNAL; MICH, RUTG)</td></tr><tr><td>LITTENBERG</td><td>92B PR D46 892</td><td>L.S. Littenberg, R.E. Shrock</td><td>(BNL, STON)</td></tr><tr><td>HO</td><td>90 PRL 65 1713</td><td>P.M. Ho et al.</td><td>(MICH, FNAL, MINN, RUTG)</td></tr><tr><td>HO</td><td>90 PRL D44 3402</td><td>P.M. Ho et al.</td><td>(MICH, FNAL, MINN, RUTG)</td></tr><tr><td>TROST</td><td>89 PR D40 1703</td><td>L.H. Trost et al.</td><td>(FNAL-715 Collab.)</td></tr><tr><td>BIAGI</td><td>87B ZPHY C35 143</td><td>S.F. Biagi et al.</td><td>(BRIS, CERN, GEVA+)</td></tr><tr><td>BIAGI</td><td>86 PR D33 3172</td><td>R. Rameika et al.</td><td>(RUTG, MICH, WISC+)</td></tr><tr><td>ASTON</td><td>85B PR D32 2270</td><td>D. Aston et al.</td><td>(SLAC, CARL CNRC, CINC)</td></tr><tr><td>BENSINGER</td><td>85 NP B252 561</td><td>J.R. Bensinger et al.</td><td>(CHIC, ELMT, FNAL+)</td></tr><tr><td>BOURQUIN</td><td>84 NP B241 1</td><td>M.H. Bourquin et al.</td><td>(BRIS, GEVA, HEIDP+)</td></tr><tr><td>BIAGI</td><td>84 PRL 52 581</td><td>R. Rameika et al.</td><td>(RUTG, MICH, WISC+)</td></tr><tr><td>BOURQUIN</td><td>83 ZPHY C21 1</td><td>M.H. Bourquin et al.</td><td>(BRIS, GEVA, HEIDP+)</td></tr><tr><td>BIAGI</td><td>82 PRL 112B 265</td><td>S.F. Biagi et al.</td><td>(BRIS, CAVE, GEVA+)</td></tr><tr><td>BIAGI</td><td>82B PRL 112B 277</td><td>S.F. Biagi et al.</td><td>(LOQM, GEVA, RL+)</td></tr><tr><td>CLEAND</td><td>80C PR D21 12</td><td>W.E. Cleland et al.</td><td>(PITT, BNL)</td></tr><tr><td>THOMPSON</td><td>80 PR D21 25</td><td>J.A. Thompson et al.</td><td>(PITT, BNL)</td></tr><tr><td>BOURQUIN</td><td>79 PL 87B 297</td><td>M.H. Bourquin et al.</td><td>(BRIS, GEVA, HEIDP+)</td></tr><tr><td>HIMINGWAY</td><td>78 NP B342 205</td><td>R.J. Hemingway et al.</td><td>(CERN, ZEEM, NUM+)</td></tr><tr><td>DIBIANCA</td><td>75 NP B99 137</td><td>F.A. Dibianca, R.J. Endorf</td><td>(CMU)</td></tr><tr><td>BALTAY</td><td>74 PR D9 49</td><td>C. Baltay et al.</td><td>(COLU, BING)</td></tr><tr><td>COOL</td><td>74 PR D10 792</td><td>R.L. Cool et al.</td><td>(BNL)</td></tr><tr><td>COOL</td><td>74 PR D19 1630</td><td>R.L. Cool et al.</td><td>(BNL)</td></tr><tr><td>YEH</td><td>74 PR D10 3545</td><td>N. Yeh et al.</td><td>(BING, COLU)</td></tr><tr><td>MAYEUR</td><td>72 NP B47 333</td><td>C. Mayeur et al.</td><td>(BRUX, CERN, TUFTS, LOUC)</td></tr><tr><td>VOTRUBA</td><td>72 NP B45 77</td><td>M.F. Votruba, A. Safder, T.M. Ratcliffe</td><td>(BIRM+)</td></tr><tr><td>WILQUET</td><td>72 PL 42B 372</td><td>G. Wilquet et al.</td><td>(BRUX, CERN, TUFTS+)</td></tr><tr><td>DUCLOS</td><td>71 NP B32 493</td><td>J. Duclos et al.</td><td>(CERN)</td></tr><tr><td>BINGHAM</td><td>70B PR D1 3010</td><td>G.M. Bingham et al.</td><td>(UCSD, WASH)</td></tr><tr><td>GOLDWASSER</td><td>70 PR D1 1960</td><td>E.L. Goldwasser, P.F. Schultz</td><td>(ILL)</td></tr><tr><td>STONE</td><td>70 PL 32B 515</td><td>S.L. Stone et al.</td><td>(ROCH)</td></tr><tr><td>DAUBER</td><td>69 PR 179 1262</td><td>P.M. Dauber et al.</td><td>(LRL)</td></tr><tr><td>SHEN</td><td>67 PL 25B 443</td><td>B.C. Shen, A. Firestone, G. Goldhaber</td><td>(UCB+)</td></tr><tr><td>BERGE</td><td>66 PR 147 945</td><td>J.P. Berge et al.</td><td>(LRL)</td></tr><tr><td>CHIEN</td><td>66 PR 152 1171</td><td>C.Y. Chien et al.</td><td>(YALE, BNL)</td></tr><tr><td>DONDON</td><td>66 PR 143 1034</td><td>G.W. London et al.</td><td>(BNL, SYRA)</td></tr><tr><td>BINGHAM</td><td>65 PRSL 285 202</td><td>H.H. Bingham</td><td>(CERN)</td></tr><tr><td>PJERROU</td><td>65B PRL 14 275</td><td>G.M. Pjerrou et al.</td><td>(CERN)</td></tr><tr><td>PJERROU</td><td>65B PRL 14 275</td><td>G.M. Pjerrou</td><td>(UCLA)</td></tr><tr><td>Also</td><td></td><td>Thesis</td><td>(UCLA)</td></tr><tr><td>BADIER</td><td>64 Dubna Conf. 1 593</td><td>J. Badier et al.</td><td>(EPOL, SACL, ZEEM)</td></tr><tr><td>CARMONY</td><td>64B PRL 12 482</td><td>D.D. Caromy et al.</td><td>(UCLA)</td></tr><tr><td>HUBBARD</td><td>64 PR 135 B183</td><td>J.R. Hubbard et al.</td><td>(LRL)</td></tr><tr><td>FERRO-LUZZI</td><td>63 PR 130 1568</td><td>M. Ferro-Luzzi et al.</td><td>(LRL)</td></tr><tr><td>JAUNEAU</td><td>63D Siena Conf. 4</td><td>L. Jauneau et al.</td><td>(EPOL, CERN, LOUC+)</td></tr><tr><td>Also</td><td></td><td>L. Jauneau et al.</td><td>(EPOL, CERN, LOUC+)</td></tr><tr><td>SCHNEIDER</td><td>63 PL 4 360</td><td>J. Schneider</td><td>(CERN)</td></tr></tbody></table>

### Ξ RESONANCES

Revised 2023 by V. Crede (FSU), U. Thoma (U. Bonn)

Most of our present knowledge of Ξ resonances stems from the low-statistics data samples recorded in the 1960s-1980s using $K^-$ beams and in the 1980s and 1990s using hyperon ($\Sigma^-, \Xi^-$) beams. This is because (1) they could only be produced as a part of a final state, and so the analysis is more complicated than if direct formation were possible, (2) the production cross sections are small (typically a few $\mu$b), and (3) the final states are topologically complicated and difficult to study with electronic techniques. Thus, early information about Ξ resonances came entirely from bubble chamber experiments, where the numbers of events are small, and only in the 1980s did electronic experiments make any significant contributions.
# Baryon Particle Listings

## Ξ's, Ξ(1530)

In recent years, significant contributions have come from collider experiments. Excited Ξ baryons are produced and have been studied in the decay of the charmed Λ<sub>c</sub><sup>+</sup> into (Σ<sup>+</sup>K<sup>-</sup>)Ξ<sub>(1690)</sub> K<sup>+</sup> by the Belle Collaboration [1] and into (Ξ<sup>-</sup>π<sup>+</sup>)Ξ<sup>*</sup> K<sup>+</sup> by the BaBar Collaboration [2]. Belle measures the decay Ξ<sub>c</sub><sup>+</sup> → (Ξ<sup>-</sup>π<sup>+</sup>)Ξ<sup>*</sup> π<sup>+</sup> [3] with unprecedented statistical quality.

<table><caption>Table 1. Our estimate of the status of the Ξ resonances. Only those with an overall status of *** or **** are included in the Baryon Summary Table.</caption><thead><tr><th rowspan="2">Particle</th><th rowspan="2">J<sup>P</sup></th><th rowspan="2">Overall status</th><th colspan="4">Status as seen in —</th><th rowspan="2">Other channels</th></tr><tr><th>Ξπ</th><th>ΛK</th><th>ΣK</th><th>Ξ(1530)π</th></tr></thead><tbody><tr><td>Ξ(1318)</td><td>1/2+</td><td>****</td><td></td><td></td><td></td><td></td><td rowspan="5">Decays weakly</td></tr><tr><td>Ξ(1530)</td><td>3/2+</td><td>****</td><td>****</td><td></td><td></td><td></td></tr><tr><td>Ξ(1620)</td><td></td><td>**</td><td>**</td><td></td><td></td><td></td></tr><tr><td>Ξ(1690)</td><td></td><td>***</td><td>**</td><td>***</td><td>**</td><td></td></tr><tr><td>Ξ(1820)</td><td>3/2-</td><td>***</td><td>**</td><td>***</td><td>**</td><td>**</td></tr><tr><td>Ξ(1950)</td><td></td><td>***</td><td>**</td><td>**</td><td></td><td>*</td><td></td></tr><tr><td>Ξ(2030)</td><td></td><td>***</td><td></td><td>**</td><td>***</td><td></td><td></td></tr><tr><td>Ξ(2120)</td><td></td><td>*</td><td></td><td>*</td><td></td><td></td><td></td></tr><tr><td>Ξ(2250)</td><td></td><td>**</td><td></td><td></td><td></td><td></td><td>3-body decays</td></tr><tr><td>Ξ(2370)</td><td></td><td>**</td><td></td><td></td><td></td><td></td><td>3-body decays</td></tr><tr><td>Ξ(2500)</td><td></td><td>*</td><td></td><td>*</td><td>*</td><td></td><td>3-body decays</td></tr></tbody></table>

**** Existence is certain, and properties are at least fairly well explored.

*** Existence ranges from very likely to certain, but further confirmation is desirable and/or quantum numbers, branching fractions, etc. are not well determined.

** Evidence of existence is only fair.

* Evidence of existence is poor.

## Reference

1. K. Abe et al. [Belle Collaboration], Phys. Lett. B 524, 33-43 (2002).

2. B. Aubert et al. [BaBar Collaboration], Phys. Rev. D 78, 034008 (2008).

3. M. Sumihama et al. [Belle Collaboration], Phys. Rev. Lett. 122, 072501 (2019).

$$ \Xi(1530) 3/2^+ $$

$$ I(J^P) = \frac{1}{2}(\frac{3}{2}^+) \text{ Status: ****} $$

This is the only Ξ resonance whose properties are all reasonably well known. Assuming that the Λ<sub>c</sub><sup>+</sup> has J<sup>P</sup> = 1/2<sup>+</sup>, AUBERT 08AK, in a study of Λ<sub>c</sub><sup>+</sup> → Ξ<sup>-</sup>π<sup>+</sup> K<sup>+</sup>, finds conclusively that the spin of the Ξ(1530)<sup>0</sup> is 3/2. In conjunction with SCHLEIN 63B and BUTTON-SHAFER 66, this proves also that the parity is +.

We use only those determinations of the mass and width that are accompanied by some discussion of systematics and resolution.

## Ξ(1530) POLE POSITIONS

### Ξ(1530)<sup>0</sup> REAL PART

#### VALUE

1531.6 ± 0.4

#### DOCUMENT ID

LICHTENBERG74

#### COMMENT

Using HABIBI 73

### Ξ(1530)<sup>0</sup> IMAGINARY PART

#### VALUE

4.45 ± 0.35

#### DOCUMENT ID

LICHTENBERG74

#### COMMENT

Using HABIBI 73

### Ξ(1530)<sup>-</sup> REAL PART

#### VALUE

1534.4 ± 1.1

#### DOCUMENT ID

LICHTENBERG74

#### COMMENT

Using HABIBI 73

### Ξ(1530)<sup>-</sup> IMAGINARY PART

#### VALUE

3.9<sup>+1.75</sup><sub>-3.9</sub>

#### DOCUMENT ID

LICHTENBERG74

#### COMMENT

Using HABIBI 73

## Ξ(1530) MASSES

### Ξ(1530)<sup>0</sup> MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

#### 1531.80 ± 0.32 OUR FIT

Error includes scale factor of 1.3.
**1531.78 ± 0.34 OUR AVERAGE** Error includes scale factor of 1.4. See the ideogram below.

<table><tbody><tr><td>1532.2 ± 0.7</td><td>DEBELLEFON</td><td>75B</td><td>HBC</td><td>K<sup>-</sup> p → Ξ<sup>-</sup> Rπ</td></tr><tr><td>1533 ± 1</td><td>ROSS</td><td>73B</td><td>HBC</td><td>K<sup>-</sup> p → Ξ Rπ(π)</td></tr><tr><td>1531.4 ± 0.8</td><td>BADIER</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 3.95 GeV/c</td></tr><tr><td>1532.0 ± 0.4</td><td>BALTAY</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 1.75 GeV/c</td></tr><tr><td>1531.3 ± 0.6</td><td>BORENSTEIN</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 2.2 GeV/c</td></tr><tr><td>1532.3 ± 0.7</td><td>KIRSCH</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 2.87 GeV/c</td></tr><tr><td>1528.7 ± 1.1</td><td>LONDON</td><td>66</td><td>HBC</td><td>K<sup>-</sup> p 2.24 GeV/c</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>1532.1 ± 0.4</td><td>1244</td><td>ASTON</td><td>85B</td><td>LASS</td><td>K<sup>-</sup> p 11 GeV/c</td></tr><tr><td>1532.1 ± 0.6</td><td>2700</td><td><sup>1</sup> BAUBILLIER</td><td>81B</td><td>HBC</td><td>K<sup>-</sup> p 8.25 GeV/c</td></tr><tr><td>1530 ± 1</td><td>450</td><td>BIAGI</td><td>81</td><td>SPEC</td><td>SPS hyperon beam</td></tr><tr><td>1527 ± 6</td><td>80</td><td>SIXEL</td><td>79</td><td>HBC</td><td>K<sup>-</sup> p 10 GeV/c</td></tr><tr><td>1535 ± 4</td><td>100</td><td>SIXEL</td><td>79</td><td>HBC</td><td>K<sup>-</sup> p 16 GeV/c</td></tr><tr><td>1533.6 ± 1.4</td><td>97</td><td>BERTHON</td><td>74</td><td>HBC</td><td>Quasi-2-body σ</td></tr></tbody></table>

### WEIGHTED AVERAGE

1531.78 ± 0.34 (Error scaled by 1.4)

<figure><img src="image_734.png" /></figure>

Values above of weighted average, error, and scale factor are based upon the data in this ideogram only. They are not necessarily the same as our 'best' values, obtained from a least-squares constrained fit utilizing measurements of other (related) quantities as additional information.

### Ξ(1530)<sup>0</sup> mass (MeV)

### Ξ(1530)<sup>-</sup> MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

#### 1535.0 ± 0.6 OUR FIT

#### 1535.2 ± 0.8 OUR AVERAGE

<table><tbody><tr><td>1534.5 ± 1.2</td><td>DEBELLEFON</td><td>75B</td><td>HBC</td><td>K<sup>-</sup> p → Ξ<sup>-</sup> Rπ</td></tr><tr><td>1535.3 ± 2.0</td><td>ROSS</td><td>73B</td><td>HBC</td><td>K<sup>-</sup> p → Ξ Rπ(π)</td></tr><tr><td>1536.2 ± 1.6</td><td>KIRSCH</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 2.87 GeV/c</td></tr><tr><td>1535.7 ± 3.2</td><td>LONDON</td><td>66</td><td>HBC</td><td>K<sup>-</sup> p 2.24 GeV/c</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>1540 ± 3</td><td>48</td><td>BERTHON</td><td>74</td><td>HBC</td><td>Quasi-2-body σ</td></tr><tr><td>1534.7 ± 1.1</td><td>334</td><td>BALTAY</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 1.75 GeV/c</td></tr></tbody></table>

### m<sub>Ξ(1530)</sub> - m<sub>Ξ(1530)</sub>

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

#### 3.2 ± 0.6 OUR FIT

#### 2.9 ± 0.9 OUR AVERAGE

<table><tbody><tr><td>2.7 ± 1.0</td><td>BALTAY</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 1.75 GeV/c</td></tr><tr><td>2.0 ± 3.2</td><td>MERRILL</td><td>66</td><td>HBC</td><td>K<sup>-</sup> p 1.7-2.7 GeV/c</td></tr><tr><td>5.7 ± 3.0</td><td>PJERROU</td><td>65B</td><td>HBC</td><td>K<sup>-</sup> p 1.8-1.95 GeV/c</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tbody><tr><td>3.9 ± 1.8</td><td><sup>2</sup> KIRSCH</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 2.87 GeV/c</td></tr><tr><td>7 ± 4</td><td><sup>2</sup> LONDON</td><td>66</td><td>HBC</td><td>K<sup>-</sup> p 2.24 GeV/c</td></tr></tbody></table>

## Ξ(1530) WIDTHS

### Ξ(1530)<sup>0</sup> WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

#### 9.1 ± 0.5 OUR AVERAGE

<table><tbody><tr><td>9.5 ± 1.2</td><td>DEBELLEFON</td><td>75B</td><td>HBC</td><td>K<sup>-</sup> p → Ξ<sup>-</sup> Rπ</td></tr><tr><td>9.1 ± 2.4</td><td>ROSS</td><td>73B</td><td>HBC</td><td>K<sup>-</sup> p → Ξ Rπ(π)</td></tr><tr><td>11 ± 2</td><td>BADIER</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 3.95 GeV/c</td></tr><tr><td>9.0 ± 0.7</td><td>BALTAY</td><td>72</td><td>HBC</td><td>K<sup>-</sup> p 1.75 GeV/c</td></tr><tr><td>8.4 ± 1.4</td><td>BORENSTEIN</td><td>72</td><td>HBC</td><td>Ξ<sup>-</sup> π<sup>+</sup></td></tr><tr><td>11.0 ± 1.8</td><td>KIRSCH</td><td>72</td><td>HBC</td><td>Ξ<sup>-</sup> π<sup>+</sup></td></tr><tr><td>7 ± 7</td><td>BERGE</td><td>66</td><td>HBC</td><td>K<sup>-</sup> p 1.5-1.7 GeV/c</td></tr><tr><td>8.5 ± 3.5</td><td>LONDON</td><td>66</td><td>HBC</td><td>K<sup>-</sup> p 2.24 GeV/c</td></tr><tr><td>7 ± 2</td><td>SCHLEIN</td><td>63B</td><td>HBC</td><td>K<sup>-</sup> p 1.8, 1.95 GeV/c</td></tr></tbody></table>
• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>12.8 ± 1.0</td><td>2700</td><td>1 BAUBILLIER</td><td>81B HBC</td><td>K<sup>-</sup> p 8.25 GeV/c</td></tr><tr><td>19 ± 6</td><td>80</td><td>3 SIXEL</td><td>79 HBC</td><td>K<sup>-</sup> p 10 GeV/c</td></tr><tr><td>14 ± 5</td><td>100</td><td>3 SIXEL</td><td>79 HBC</td><td>K<sup>-</sup> p 16 GeV/c</td></tr></table>

$\Xi(1530)^{-}$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>9.9<sup>+1.7</sup><sub>-1.9</sub> OUR AVERAGE</strong></td></tr><tr><td>9.6 ± 2.8</td><td>DEBELLEFON</td><td>75B HBC</td><td>K<sup>-</sup> p → Ξ<sup>-</sup> Kπ</td></tr><tr><td>8.3 ± 3.6</td><td>ROSS</td><td>73B HBC</td><td>K<sup>-</sup> p → Ξ<sup>-</sup> Kπ(π)</td></tr><tr><td>7.8 <sup>+3.5</sup><sub>-7.8</sub></td><td>BALTAY</td><td>72 HBC</td><td>K<sup>-</sup> p 1.75 GeV/c</td></tr><tr><td>16.2 ± 4.6</td><td>KIRSCH</td><td>72 HBC</td><td>Ξ<sup>-</sup> π<sup>0</sup>, Ξ<sup>0</sup> π<sup>-</sup></td></tr></tbody></table>

$\Xi(1530)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Ξ π</td><td>100 %</td><td></td></tr><tr><td>Γ<sub>2</sub> Ξ γ</td><td>&lt;3.7 %</td><td>90%</td></tr></tbody></table>

$\Xi(1530)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(Ξγ)/Γ<sub>total</sub></th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>&lt;0.037</strong></td><td>90</td><td>ABLIKIM</td><td>20 BES3</td><td>J/ψ → Ξ(1530)<sup>-</sup>Ξ<sup>+</sup></td></tr></tbody></table>

• • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>&lt;0.04</td><td>90</td><td>KALBFLEISCH</td><td>75 HBC</td><td>K<sup>-</sup> p 2.18 GeV/c</td></tr></table>

$\Xi(1530)$ FOOTNOTES

¹BAUBILLIER 81B is a fit to the inclusive spectrum. The resolution (5 MeV) is not unfolded.

²Redundant with data in the mass Listings.

³SIXEL 79 doesn't unfold the experimental resolution of 15 MeV.

$\Xi(1530)$ REFERENCES

<table><tr><td>ABLIKIM</td><td>20 PR D101 012004</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>AUBERT</td><td>80AK PR D78 034008</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ASTON</td><td>85B PR D32 2270</td><td>D. Aston et al.</td><td>(SLAC, CARL, CNRC, CINC)</td></tr><tr><td>BAUBILLIER</td><td>81B NP B192 1</td><td>M. Baubiller et al.</td><td>(BIRM, CERN, GLAS+)</td></tr><tr><td>BIAGI</td><td>81 ZPHY C9 305</td><td>S.F. Biagi et al.</td><td>(BRIS, CAVE, GEVA+)</td></tr><tr><td>SIXEL</td><td>79 NP B159 125</td><td>P. Sixel et al.</td><td>(AACH3, BERL, CERN, LOIC+)</td></tr><tr><td>DEBELLEFON</td><td>75B NC 28A 289</td><td>A. de Bellefon et al.</td><td>(CDEF, SACL)</td></tr><tr><td>KALBFLEISCH</td><td>75 PR D11 987</td><td>G.R. Kalbfleisch, R.C. Strand, J.W. Chapman</td><td>(BNL+)</td></tr><tr><td>BERTHON</td><td>74 NC 21A 146</td><td>A. Berthon et al.</td><td>(CDEF, RHEL, SACL+)</td></tr><tr><td>LICHTENBERG</td><td>74 PR D10 3865</td><td>D.B. Lichtenberg</td><td>(IND)</td></tr><tr><td>Also</td><td>74 Private Comm.</td><td>D.B. Lichtenberg</td><td>(IND)</td></tr><tr><td>HABIBI</td><td>73 Thesis Nevis 199</td><td>M. Habibi</td><td>(COLU)</td></tr><tr><td>ROSS</td><td>73B Purdue Conf. 355</td><td>R.T. Ross, J.L. Lloyd, D. Radojicic</td><td>(OXF)</td></tr><tr><td>BADIER</td><td>72 NP B37 429</td><td>J. Badier et al.</td><td>(EPOL)</td></tr><tr><td>BALTAY</td><td>72 PL 42B 129</td><td>C. Baltay et al.</td><td>(COLU, BING)</td></tr><tr><td>BORENSTEIN</td><td>72 PR D5 1559</td><td>S.R. Borenstein et al.</td><td>(BNL, MICH) I</td></tr><tr><td>KIRSCH</td><td>72 NP B40 349</td><td>L.E. Kirsch et al.</td><td>(BRAN, UMD, SYRA+) I</td></tr><tr><td>BERGE</td><td>66 PR 147 945</td><td>J.P. Berge et al.</td><td>(LRL) I</td></tr><tr><td>BUTTON...</td><td>66 PR 142 883</td><td>J. Button-Shafer et al.</td><td>(LRL) JP</td></tr><tr><td>LONDON</td><td>66 PR 143 1034</td><td>G.W. London et al.</td><td>(BNL, SYRA) IJ</td></tr><tr><td>MERRILL</td><td>66 Thesis URCL 16455</td><td>D.W. Merrill</td><td>(LRL) JP</td></tr><tr><td>PJERROU</td><td>65B PRL 14 275</td><td>G.M. Pjerrou et al.</td><td>(UCLA)</td></tr><tr><td>SCHLEIN</td><td>63B PRL 11 167</td><td>P.E. Schlein et al.</td><td>(UCLA) IJP</td></tr></table>

OTHER RELATED PAPERS

<table><tr><td>MAZZUCATO</td><td>81 NP B178 1</td><td>M. Mazzucato et al.</td><td>(AMST, CERN, NIJM+)</td></tr><tr><td>BRIEFEL</td><td>77 PR D16 2706</td><td>E. Briefel et al.</td><td>(BRAN, UMD, SYRA+)</td></tr><tr><td>BRIEFEL</td><td>75 PR D12 1859</td><td>E. Briefel et al.</td><td>(BRAN, UMD, SYRA+)</td></tr><tr><td>HUNGERBU...</td><td>74 PR D10 2051</td><td>V. Hungerbuhr et al.</td><td>(YALE, FNAL, BNL+)</td></tr><tr><td>BUTTON...</td><td>66 PR 142 883</td><td>J. Button-Shafer et al.</td><td>(LRL) JP</td></tr></table>

$\Xi(1620)$

$$I(J^P) = \frac{1}{2}(?^2) \quad \text{Status: **}$$
$J, P$ need confirmation.

OMITTED FROM SUMMARY TABLE

The clearest evidence is a peak in $\Xi^{-} \pi^{+}$ seen by SUMIHAMA 19.

Older low-statistics experiments (e.g., BORENSTEIN 72 and HAS-SALL 81) have looked for the state but have not seen any effect.

$\Xi(1620)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>≈ 1620 OUR ESTIMATE</strong></td></tr><tr><td>1610.4 ± 6.0<sup>+6.1</sup><sub>-4.2</sub></td><td></td><td>SUMIHAMA</td><td>19 BELL</td><td>Ξ<sup>+</sup><sub>C</sub> → Ξ(1620)π<sup>+</sup></td></tr><tr><td>1624 ± 3</td><td>31</td><td>BRIEFEL</td><td>77 HBC</td><td>K<sup>-</sup> p 2.87 GeV/c</td></tr><tr><td>1633 ± 12</td><td>34</td><td>DEBELLEFON</td><td>75B HBC</td><td>K<sup>-</sup> p → Ξ<sup>-</sup> Kπ</td></tr><tr><td>1606 ± 6</td><td>29</td><td>ROSS</td><td>72 HBC</td><td>K<sup>-</sup> p 3.1-3.7 GeV/c</td></tr></tbody></table>

$\Xi(1620)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>32 <sup>+8</sup><sub>-9</sub> OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 2.2. See the ideogram below.</td></tr><tr><td>59.9 ± 4.8<sup>+2.8</sup><sub>-7.1</sub></td><td></td><td>SUMIHAMA</td><td>19 BELL</td><td>Ξ<sup>+</sup><sub>C</sub> → Ξ(1620)π<sup>+</sup></td></tr><tr><td>22.5 ± 7.5</td><td>31</td><td>1 BRIEFEL</td><td>77 HBC</td><td>K<sup>-</sup> p 2.87 GeV/c</td></tr><tr><td>40 ± 15</td><td>34</td><td>DEBELLEFON</td><td>75B HBC</td><td>K<sup>-</sup> p → Ξ<sup>-</sup> Kπ</td></tr><tr><td>21 ± 7</td><td>29</td><td>ROSS</td><td>72 HBC</td><td>K<sup>-</sup> p → Ξ<sup>-</sup> π<sup>+</sup> K*0 (892)</td></tr></tbody></table>

WEIGHTED AVERAGE
32+8-9 (Error scaled by 2.2)

<figure><img src="image_735.png" /></figure>

$\Xi(1620)$ WIDTH (MeV)

$\Xi(1620)$ DECAY MODES

$$\Gamma_1 \Xi \pi$$

$\Xi(1620)$ FOOTNOTES

¹The fit is insensitive to values between 15 and 30 MeV.

$\Xi(1620)$ REFERENCES

<table><tr><td>SUMIHAMA</td><td>19 PRL 122 072501</td><td>M. Sumihama et al.</td><td>(BELLE Collab.)</td></tr><tr><td>HASSALL</td><td>81 NP B189 397</td><td>J.K. Hassall et al.</td><td>(CAVE, MSU)</td></tr><tr><td>BRIEFEL</td><td>77 PR D16 2706</td><td>E. Briefel et al.</td><td>(BRAN, UMD, SYRA+)</td></tr><tr><td>Also</td><td></td><td>E. Briefel et al.</td><td>(BRAN, UMD, SYRA+)</td></tr><tr><td>Hyperon Resonances, 1970</td><td></td><td></td><td>(BRAN, UMD, SYRA+)</td></tr><tr><td>Also</td><td>PR D12 1859</td><td>E. Briefel et al.</td><td>(CDEF, SACL)</td></tr><tr><td>DEBELLEFON</td><td>75B NC 28A 289</td><td>A. de Bellefon et al.</td><td>(CDEF, SACL)</td></tr><tr><td>BORENSTEIN</td><td>72 PR D5 1559</td><td>S.R. Borenstein et al.</td><td>(BNL, MICH) I</td></tr><tr><td>ROSS</td><td>72 PL 3B 177</td><td>R.T. Ross et al.</td><td>(OXF) I</td></tr></table>

OTHER RELATED PAPERS

<table><tr><td>HUNGERBU...</td><td>74 PR D10 2051</td><td>V. Hungerbuhr et al.</td><td>(YALE, FNAL, BNL+)</td></tr><tr><td>SCHMIDT</td><td>73 Purdue Conf. 363</td><td>P.E. Schmidt</td><td>(BRAN)</td></tr><tr><td>KALBFLEISCH</td><td>70 Duke Conf. 331</td><td>G.R. Kalbfleisch</td><td>(BNL) I</td></tr><tr><td>Hyperon Resonances 1970</td><td></td><td></td><td></td></tr><tr><td>APSELL</td><td>69 PRL 23 884</td><td>S.P. Apstell et al.</td><td>(BRAN, UMD, SYRA+)</td></tr><tr><td>BARTSCH</td><td>69 PL 2B 439</td><td>J. Bartsch et al.</td><td>(AACH, BERL, CERN+)</td></tr></table>

$\Xi(1690)$

$$I(J^P) = \frac{1}{2}(?^2) \quad \text{Status: **}$$

AUBERT 08AK, in a study of $\Lambda_{c}^{+} \rightarrow \Xi^{-} \pi^{+} K^{+}$, finds some evidence that the $\Xi(1690)$ has $J^P = 1/2^{-}$.

DIONISI 78 sees a threshold enhancement in both the neutral and negatively charged $\Sigma K$ mass spectra in $K^{-} p \rightarrow (\Sigma K) K \pi$ at 4.2 GeV/c. The data from the $\Sigma K$ channels alone cannot distinguish between a resonance and a large scattering length. Weaker evidence at the same mass is seen in the corresponding $\Lambda K$ channels, and a coupled-channel analysis yields results consistent with a new $\Xi$.

BIAGI 81 sees an enhancement at 1700 MeV in the diffractively produced $\Lambda K^{-}$ system. A peak is also observed in the $\Lambda K^{0}$ mass spectrum at 1660 MeV that is consistent with a 1720 MeV resonance decaying to $\Sigma^{0} K^{0}$, with the $\gamma$ from the $\Sigma^{0}$ decay not detected.

BIAGI 87 provides further confirmation of this state in diffractive dissociation of $\Xi^{-}$ into $\Lambda K^{-}$. The significance claimed is 6.7 standard deviations.

ADAMOVICH 98 sees a peak of 1400 ± 300 events in the $\Xi^{-} \pi^{+}$ spectrum produced by 345 GeV/c $\Sigma^{-}$-nucleus interactions.

SUMIHAMA 19 observes a peak in the $\Xi^{-} \pi^{+}$ spectrum with a significance of 4.0 standard deviations.
Ξ(1690) MASSES

MIXED CHARGES

VALUE (MeV)

DOCUMENT ID

**1690±10 OUR ESTIMATE** This is only an educated guess; the error given is larger than the error on the average of the published values.

Ξ(1690)⁰ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th></tr></thead><tbody><tr><td>1686 ± 4</td><td>1400</td></tr><tr><td>1699 ± 5</td><td>175</td></tr><tr><td>1684 ± 5</td><td>183</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ADAMOVICH</td><td>98</td><td>WA89<br>Σ⁻ nucleus, 345<br>GeV/c</td></tr><tr><td>1</td><td>78</td><td>K⁻ p 4.2 GeV/c</td></tr><tr><td>2</td><td>78</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Ξ(1690)⁻ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th></tr></thead><tbody><tr><td>1691.1 ± 1.9 ± 2.0</td><td>104</td></tr><tr><td>1700 ± 10</td><td>150</td></tr><tr><td>1694 ± 6</td><td>45</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>BIAGI</td><td>87</td><td>SPEC<br>Ξ⁻ Be 116 GeV</td></tr><tr><td>3</td><td>81</td><td>SPEC<br>Ξ⁻ H 100, 135 GeV</td></tr><tr><td>4</td><td>78</td><td>HBC<br>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Ξ(1690) WIDTHS

MIXED CHARGES

VALUE (MeV)

DOCUMENT ID

20±15 OUR ESTIMATE

Ξ(1690)⁰ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th></tr></thead><tbody><tr><td>10 ± 6</td><td>1400</td></tr><tr><td>44 ± 23</td><td>175</td></tr><tr><td>20 ± 4</td><td>183</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>ADAMOVICH</td><td>98</td><td>WA89<br>Σ⁻ nucleus, 345<br>GeV/c</td></tr><tr><td>1</td><td>78</td><td>K⁻ p 4.2 GeV/c</td></tr><tr><td>2</td><td>78</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Ξ(1690)⁻ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>CL%</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt; 8</td><td>90</td><td>104</td></tr><tr><td>47 ± 14</td><td></td><td>150</td></tr><tr><td>26 ± 6</td><td></td><td>45</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>BIAGI</td><td>87</td><td>SPEC<br>Ξ⁻ Be 116 GeV</td></tr><tr><td>3</td><td>81</td><td>SPEC<br>Ξ⁻ H 100, 135 GeV</td></tr><tr><td>4</td><td>78</td><td>HBC<br>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Ξ(1690) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> ΛK</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> ΣK</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> Ξπ</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> Ξ⁻ π<sup>+</sup> π<sup>0</sup></td><td></td></tr><tr><td>Γ<sub>5</sub> Ξ⁻ π<sup>+</sup> π<sup>−</sup></td><td>possibly seen</td></tr><tr><td>Γ<sub>6</sub> Ξ(1530) π</td><td></td></tr></tbody></table>

Ξ(1690) BRANCHING RATIOS

Γ(ΛK)/Γ<sub>total</sub>

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>seen</td><td>104</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>BIAGI</td><td>87</td><td>SPEC</td><td>Ξ⁻ Be 116 GeV</td></tr></tbody></table>

Γ<sub>1</sub>/Γ

Γ(ΣK)/Γ(ΛK)

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>0.75 ± 0.39</td><td>75</td></tr><tr><td>2.7 ± 0.9</td><td></td></tr><tr><td>3.1 ± 1.4</td><td></td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>ABE</td><td>02c</td><td>BELL</td><td>e⁺e⁻ ≈ γ(4s)</td></tr><tr><td>DIONISI</td><td>78</td><td>HBC</td><td>K⁻ p 4.2 GeV/c</td></tr><tr><td>DIONISI</td><td>78</td><td>HBC</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Γ<sub>2</sub>/Γ<sub>1</sub>

Γ(Ξπ)/Γ(ΣK)

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt;0.09</td><td></td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>DIONISI</td><td>78</td><td>HBC</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Γ<sub>3</sub>/Γ<sub>2</sub>

Γ(Ξπ)/Γ<sub>total</sub>

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>seen</td><td></td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>ADAMOVICH</td><td>98</td><td>WA89<br>Σ⁻ nucleus, 345<br>GeV/c</td></tr></tbody></table>

Γ<sub>4</sub>/Γ<sub>2</sub>

Γ(Ξ⁻ π<sup>+</sup> π<sup>0</sup>)/Γ(ΣK)

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt;0.04</td><td></td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>DIONISI</td><td>78</td><td>HBC</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Γ<sub>5</sub>/Γ<sub>1</sub>

Γ(Ξ⁻ π<sup>+</sup> π<sup>−</sup>)/Γ<sub>total</sub>

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>possibly seen</td><td>4</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>BIAGI</td><td>87</td><td>SPEC</td><td>Ξ⁻ Be 116 GeV</td></tr></tbody></table>

Γ<sub>5</sub>/Γ<sub>2</sub>

Γ(Ξ⁻ π<sup>+</sup> π<sup>−</sup>)/Γ(ΣK)

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt;0.03</td><td></td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>DIONISI</td><td>78</td><td>HBC</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Γ(Ξ(1530)π)/Γ(ΣK)

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>&lt;0.06</td><td></td></tr></tbody></table>

Γ<sub>6</sub>/Γ<sub>2</sub>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>DIONISI</td><td>78</td><td>HBC</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

Ξ(1690) FOOTNOTES

¹ From a fit to the Σ⁺K⁻ spectrum.

² From a coupled-channel analysis of the Σ⁺K⁻ and ΛK⁰ spectra.

³ A fit to the inclusive spectrum from Ξ⁻N → ΛK⁻X.

⁴ From a coupled-channel analysis of the Σ⁰K⁻ and ΛK⁻ spectra.

Ξ(1690) REFERENCES

<table><tr><td>SUMIHAMA</td><td>19</td><td>PRL 122 072501</td><td>M. Sumihama et al. (BELLE Collab.)</td></tr><tr><td>AUBERT</td><td>08AK</td><td>PR D78 034008</td><td>BABAR Collab.)</td></tr><tr><td>ABE</td><td>02C</td><td>PL B524 33</td><td>K. Abe et al. (KEK BELLE Collab.)</td></tr><tr><td>ADAMOVICH</td><td>98</td><td>EPJ C5 621</td><td>M.I. Adamovich et al. (CERN WA89 Collab.)</td></tr><tr><td>BIAGI</td><td>87</td><td>ZPHY C34 15</td><td>S.F. Biagi et al. (BRIS, CERN, GEVAP+) I</td></tr><tr><td>BIAGI</td><td>81</td><td>ZPHY C9 305</td><td>S.F. Biagi et al. (BRIS, CAVE, GEVAP+) I</td></tr><tr><td>DIONISI</td><td>78</td><td>PL 80B 145</td><td>C. Dionisi et al. (CERN, AMST, NIJM+) I</td></tr></table>



Ξ(1820) 3/2⁻

$$I(J^P) = \frac{1}{2}(\frac{3}{2}^-) \text{ Status: } \*\*\*$$

The clearest evidence is an 8-standard-deviation peak in ΛK⁻ seen by GAY 76C. TEODORO 78 favors $J = 3/2$, but cannot make a parity discrimination. BIAGI 87C is consistent with $J = 3/2$ and favors negative parity for this $J$ value.

Ξ(1820) MASS

We only average the measurements that appear to us to be most significant and best determined.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>1823 ± 5</td><td>OUR ESTIMATE</td><td></td><td></td><td></td><td></td></tr><tr><td>1823.5 ± 1.4</td><td>OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>1825.5 ± 4.7 ± 4.7</td><td>288</td><td>ABLIKIM</td><td>20C</td><td>BES3</td><td>e⁺e⁻ → Ξ(1820)⁻Ξ⁺</td></tr><tr><td>1819.4 ± 3.1 ± 2.0</td><td>280</td><td>1 BIAGI</td><td>87</td><td>SPEC</td><td>Ξ⁻ Be → (ΛK⁻) X</td></tr><tr><td>1826 ± 3 ± 1</td><td>54</td><td>BIAGI</td><td>87C</td><td>SPEC</td><td>Ξ⁻ Be → (ΛK⁰) X</td></tr><tr><td>1822 ± 6</td><td></td><td>JENKINS</td><td>83</td><td>MPS</td><td>K⁻ p → K⁺ (MM)</td></tr><tr><td>1830 ± 6</td><td>300</td><td>BIAGI</td><td>81</td><td>SPEC</td><td>SPS hyperon beam</td></tr><tr><td>1823 ± 2</td><td>130</td><td>GAY</td><td>76C</td><td>HBC</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>1817 ± 3</td><td>ADAMOVICH</td><td>99b</td><td>WA89</td><td>Σ⁻ nucleus, 345 GeV</td></tr><tr><td>1797 ± 19</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>K⁻ p 2.87 GeV/c</td></tr><tr><td>1829 ± 9</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>Ξ(1530)π</td></tr><tr><td>1860 ± 14</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>Σ⁻K⁰</td></tr><tr><td>1870 ± 9</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>ΛK⁻</td></tr><tr><td>1813 ± 4</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>ΛK⁰</td></tr><tr><td>1807 ± 27</td><td>DIBIANCA</td><td>75</td><td>DBC</td><td>Ξππ, Ξ⁺π</td></tr><tr><td>1762 ± 8</td><td>2 BADIER</td><td>72</td><td>HBC</td><td>Ξπ, Ξππ, Y K</td></tr><tr><td>1838 ± 5</td><td>2 BADIER</td><td>72</td><td>HBC</td><td>Ξπ, Ξππ, Y K</td></tr><tr><td>1830 ± 10</td><td>3 CRENNELL</td><td>70b</td><td>DBC</td><td>3.6, 3.9 GeV/c</td></tr><tr><td>1826 ± 12</td><td>4 CRENNELL</td><td>70b</td><td>DBC</td><td>3.6, 3.9 GeV/c</td></tr><tr><td>1830 ± 10</td><td>40</td><td>ALITTI</td><td>69</td><td>HBC</td><td>Λ, ΣK⁰</td></tr><tr><td>1814 ± 4</td><td>30</td><td>BADIER</td><td>65</td><td>HBC</td><td>ΛK⁰</td></tr><tr><td>1817 ± 7</td><td>29</td><td>SMITH</td><td>65c</td><td>HBC</td><td>ΛK⁰, ΛK⁻</td></tr><tr><td>1770</td><td></td><td>HALSTEINSLID63</td><td>FBC</td><td>ΛK⁻ freon 3.5 GeV/c</td></tr></table>

Ξ(1820) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>24 ± 15</td><td>OUR ESTIMATE</td><td></td><td></td><td></td><td></td></tr><tr><td>24 ± 5</td><td>OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>17.0 ± 15.0 ± 7.9</td><td>288</td><td>ABLIKIM</td><td>20C</td><td>BES3</td><td>e⁺e⁻ → Ξ(1820)⁻Ξ⁺</td></tr><tr><td>24.6 ± 5.3</td><td>280</td><td>1 BIAGI</td><td>87</td><td>SPEC</td><td>Ξ⁻ Be → (ΛK⁻) X</td></tr><tr><td>12 ± 14 ± 1.7</td><td>54</td><td>BIAGI</td><td>87C</td><td>SPEC</td><td>Ξ⁻ Be → (ΛK⁰) X</td></tr><tr><td>72 ± 20</td><td>300</td><td>BIAGI</td><td>81</td><td>SPEC</td><td>SPS hyperon beam</td></tr><tr><td>21 ± 7</td><td>130</td><td>GAY</td><td>76C</td><td>HBC</td><td>K⁻ p 4.2 GeV/c</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>23 ± 13</td><td>ADAMOVICH</td><td>99b</td><td>WA89</td><td>Σ⁻ nucleus, 345 GeV</td></tr><tr><td>99 ± 57</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>K⁻ p 2.87 GeV/c</td></tr><tr><td>52 ± 34</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>Ξ(1530)π</td></tr><tr><td>72 ± 17</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>Ξ(1530)π</td></tr><tr><td>44 ± 11</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>ΛK⁰</td></tr><tr><td>26 ± 11</td><td>BRIEFEL</td><td>77</td><td>HBC</td><td>ΛK⁻</td></tr><tr><td>85 ± 58</td><td>DIBIANCA</td><td>75</td><td>DBC</td><td>Ξππ, Ξ⁺π</td></tr><tr><td>51 ± 13</td><td>2 BADIER</td><td>72</td><td>HBC</td><td>Lower mass</td></tr><tr><td>58 ± 13</td><td>2 BADIER</td><td>72</td><td>HBC</td><td>Higher mass</td></tr></table>