Δ(1232) → Nγ, absolute value of E<sub>2</sub>/M<sub>1</sub> ratio at pole

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

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

0.065 ± 0.007 ARNDT 97 DPWA γN → πN

0.058 HANSTEIN 96 DPWA γN → πN

Δ(1232) → Nγ, phase of E<sub>2</sub>/M<sub>1</sub> ratio at pole

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

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

-122 ± 5 ARNDT 97 DPWA γN → πN

-127.2 HANSTEIN 96 DPWA γN → πN

Δ(1232) MAGNETIC MOMENTS

Δ(1232)<sup>++</sup> MAGNETIC MOMENT

The values are extracted from UCLA and SIN data on π<sup>+</sup>p bremsstrahlung using a variety of different theoretical approximations and methods. Our estimate is only a rough guess of the range we expect the moment to lie within.

<table><thead><tr><th>VALUE (μ<sub>N</sub>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

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

6.14 ± 0.51 LOPEZCAST... 01 DPWA π<sup>+</sup>p → π<sup>+</sup>pγ

4.52 ± 0.50 ± 0.45 BOSSHARD 91 π<sup>+</sup>p → π<sup>+</sup>pγ (SIN data)

3.7 to 4.2 LIN 91B π<sup>+</sup>p → π<sup>+</sup>pγ (from UCLA data)

4.6 to 4.9 LIN 91B π<sup>+</sup>p → π<sup>+</sup>pγ (from SIN data)

5.6 to 7.5 WITTMAN 88 π<sup>+</sup>p → π<sup>+</sup>pγ (from UCLA data)

6.9 to 9.8 HELLER 87 π<sup>+</sup>p → π<sup>+</sup>pγ (from UCLA data)

4.7 to 6.7 NEFKENS 87 π<sup>+</sup>p → π<sup>+</sup>pγ (UCLA data)

Δ(1232)<sup>+</sup> MAGNETIC MOMENT

<table><thead><tr><th>VALUE (μ<sub>N</sub>)</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead></table>

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

2.7<sup>+1.0</sup><sub>-1.3</sub> ± 1.5 ± 3 ¹ KOTULLA 02 γp → pπ<sup>0</sup>γ

¹ The second error is systematic, the third is an estimate of theoretical uncertainties.

Δ(1232) REFERENCES

For early references, see Physics Letters 11B 1 (1982).

<table><tbody><tr><td>ROENCHEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al.</td><td>(JULI, GWU, BONN+)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>ADAMCZEW...</td><td>17</td><td>PR C95 065205</td><td>J. Adamczewski-Musch et al.</td><td>(HADES Collab.)</td></tr><tr><td>ROENCHEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen et al.</td><td></td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al.</td><td>(PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, UNI Tuzla)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPI)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Manley</td><td>(KSU)</td></tr><tr><td>WORKMAN</td><td>12A</td><td>PR C86 015202</td><td>R. Workman et al.</td><td>(GWU)</td></tr><tr><td>ANISOVICH</td><td>10</td><td>EPJ A44 203</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPI)</td></tr><tr><td>DRECHSEL</td><td>07</td><td>EPJ A34 69</td><td>D. Drechsel, S.S. Kamalov, L. Tiator</td><td>(MAINZ, JINR)</td></tr><tr><td>DUGGER</td><td>07</td><td>PR C76 052211</td><td>M. Dugger et al.</td><td>(JLab CLAS Collab.)</td></tr><tr><td>ARNDT</td><td>06</td><td>PR C74 045205</td><td>R.A. Arndt et al.</td><td>(GWU)</td></tr><tr><td>BREITSCHOP...</td><td>06</td><td>PL B639 424</td><td>J. Breitschopf et al.</td><td>(TUBIN, HEBR, CSUS)</td></tr><tr><td>GRIDNEV</td><td>06</td><td>PAN 69 1542</td><td>A.B. Gridnev et al.</td><td>(PNPI, BONN, GWU)</td></tr><tr><td>PDG</td><td>06</td><td>JP G33 1</td><td>W.-M. Yao et al.</td><td>(PDG Collab.)</td></tr><tr><td>AHRENS</td><td>04A</td><td>EPJ A21 323</td><td>J. Ahrens et al.</td><td>(A2 Collab.)</td></tr><tr><td>ARNDT</td><td>04</td><td>PR C69 055213</td><td>R.A. Arndt et al.</td><td>(GWU, TRIU)</td></tr><tr><td>ARNDT</td><td>02</td><td>PR C66 055213</td><td>R.A. Arndt et al.</td><td>(GWU)</td></tr><tr><td>KOTULLA</td><td>02</td><td>PR L8 272001</td><td>M. Kotulla et al.</td><td>(MAMI TAPS Collab.)</td></tr><tr><td>PENNER</td><td>02C</td><td>PR C66 055211</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>PENNER</td><td>02D</td><td>PR C66 055212</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>BLANPIED</td><td>01</td><td>PR C64 025203</td><td>G. Blanpied et al.</td><td>(BNL LEGS Collab.)</td></tr><tr><td>GALLER</td><td>01</td><td>PL B503 245</td><td>G. Galler et al.</td><td>(Mainz LARA Collab.)</td></tr><tr><td>LOPEZCAST...</td><td>01</td><td>PL B517 339</td><td>G. Lopez Castro, A. Mariano</td><td></td></tr><tr><td>Also</td><td>00</td><td>PR C61 035204</td><td>G. Lopez Castro, A. Mariano</td><td></td></tr><tr><td>BECK</td><td>99</td><td>PRL 83 4494</td><td>R. Beck et al.</td><td>(Mainz Microtron DAPHNE Col.)</td></tr><tr><td>KAMALOV</td><td>98</td><td>NP A632 561</td><td>S.S. Kamalov, S.N. Yang</td><td>(Taiwan U.)</td></tr><tr><td>HANSTEIN</td><td>97</td><td>PR C56 577</td><td>R.A. Arndt, L. Strakovsky, R.L. Workman</td><td>(VPI)</td></tr><tr><td>ARNDT</td><td>97</td><td>PR C56 577</td><td>R. Beck et al.</td><td>(MAINZ, SACL, PAVI, GLAS)</td></tr><tr><td>BECK</td><td>97</td><td>PRL 78 606</td><td>R.L. Beck, H.P. Krahn</td><td>(MAINZ)</td></tr><tr><td>Also</td><td>97</td><td>PRL 79 4510</td><td>R.L. Beck, H.P. Krahn</td><td>(MAINZ)</td></tr><tr><td>Also</td><td>97</td><td>PRL 79 4512</td><td>R.L. Beck, H.P. Krahn</td><td>(MAINZ, SACL, PAVI, GLAS)</td></tr><tr><td>Also</td><td>97</td><td>PRL 79 4515 (errat.)</td><td>G. Blanpied et al.</td><td>(LEGS Collab.)</td></tr><tr><td>BLANPIED</td><td>97</td><td>PRL 79 4337</td><td>R.M. Davidson, N.C.A. Mukhopadhyay</td><td>(RPI)</td></tr><tr><td>DAVIDSON</td><td>97</td><td>PRL 79 4509</td><td>A. Bernicha, G. Lopez Castro, J. Pestieau</td><td>(LOUV+)</td></tr><tr><td>BERNICHA</td><td>96</td><td>NP A597 623</td><td>O. Hanstein, D. Drechsel, L. Tiator</td><td>(MAINZ)</td></tr><tr><td>HANSTEIN</td><td>96</td><td>PL B385 45</td><td>V.V. Abeev, S.P. Kruglov</td><td>(PNPI)</td></tr><tr><td>ABAEV</td><td>95</td><td>ZPHY A352 85</td><td>G. Hohler</td><td>(KARL)</td></tr><tr><td>HOEHLER</td><td>93</td><td>πN Newsletter 9 1</td><td>A. Bosshard et al.</td><td>(ZURI, LBL, VILL+)</td></tr><tr><td>BOSSHARD</td><td>91</td><td>PR D44 1962</td><td>A. Bosshard et al.</td><td>(CATH, LAUS, LBL+)</td></tr><tr><td>Also</td><td>91B</td><td>PR C44 1819</td><td>D.H. Lin, M.K. Liou, Z.M. Ding</td><td>(CUNY, CSOK)</td></tr><tr><td>Also</td><td>91B</td><td>PR C43 R930</td><td>D. Lin, M.K. Liou</td><td>(CUNY)</td></tr><tr><td>WITTMAN</td><td>88</td><td>PR C37 2075</td><td>R. Wittman</td><td>(TRU)</td></tr><tr><td>HELLER</td><td>87</td><td>PR C35 718</td><td>L. Heller et al.</td><td>(LANL, MIT, ILL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R. E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>Also</td><td>80B</td><td>NP A336 339</td><td>R. E. Cutkosky et al.</td><td>(CMU, LBL)</td></tr><tr><td>KOCH</td><td>79</td><td>PDAT 12-1</td><td>R. Koch, E. Pletarinen</td><td>(KARL) IJP</td></tr><tr><td>HOEHLER</td><td>79</td><td>Toronto Conf. 3</td><td>G. Hohler et al.</td><td>(KARL) IJP</td></tr><tr><td>Also</td><td>79</td><td>SJNP 29 94</td><td>R. Koch</td><td>(KARL) IJP</td></tr><tr><td>MIROSHNIC...</td><td>79</td><td>Translated from YAF 29 188.</td><td>I.I. Miroshnichenko et al.</td><td>(KFTI) IJP</td></tr><tr><td>NEFKENS</td><td>78</td><td>PR D18 3911</td><td>B.M.K. Nefkens et al.</td><td>(UCLA, CATH) IJP</td></tr><tr><td>PEDRONI</td><td>78</td><td>NP A300 321</td><td>E. Pedroni et al.</td><td>(SIN, ISNG, KARLE+) IJP</td></tr></tbody></table>

Δ(1600) 3/2<sup>+</sup>

I(J<sup>2</sup>) = 3/2(3/2<sup>+</sup>) Status: ****

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

Δ(1600) POLE POSITION

REAL PART

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

1470 to 1590 (≈ 1520) OUR ESTIMATE

<table><tbody><tr><td>1590 ± 1</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>1515 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1469 ± 10 ± 5</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1550 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>1619</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1552</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1498 ± 25</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1457</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1599</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1550</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

-2×IMAGINARY PART

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

150 to 320 (≈ 280) OUR ESTIMATE

<table><tbody><tr><td>136 ± 1</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>250 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>314 ± 18 ± 8</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>200 ± 60</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>295</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>350</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>230 ± 50</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>400</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>312</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

Δ(1600) ELASTIC POLE RESIDUE

MODULUS |r|

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

10 to 40 (≈ 25) OUR ESTIMATE

<table><tbody><tr><td>11 ± 1</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>13 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>38 ± 2 ± 2</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>17 ± 4</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>23</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>11 ± 6</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>44</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

PHASE θ

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

180 to 250 (≈ 210) OUR ESTIMATE

<table><tbody><tr><td>-106 ± 1</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-155 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>173 ± 5 ± 5</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>-150 ± 30</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>-155</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-160 ± 33</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>+147</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

Δ(1600) INELASTIC POLE RESIDUE

The "normalized residue" is the residue divided by Γ<sub>pole</sub>/2.

Normalized residue in Nπ → Δ(1600) → Δπ, P-wave

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

0.30 ± 0.02 87 ± 2 ROENCHEN 22 DPWA Multichannel

0.15 ± 0.04 30 ± 35 SOKHOYAN 15A DPWA Multichannel

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

0.31 ROENCHEN 15A DPWA Multichannel

0.14 ± 0.10 154 ± 40 ANISOVICH 12A DPWA Multichannel
Normalized residue in $N\pi \rightarrow \Delta(1600) \rightarrow \Delta\pi, F$-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>0.004±0.0002</td><td>-62 ± 5</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.010±0.005</td><td></td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
0.013 29
ROENCHEN 15A DPWA Multichannel
0.010±0.005 12A DPWA Multichannel

Normalized residue in $N\pi \rightarrow \Delta(1600) \rightarrow \Sigma K$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.14±0.01</td><td>14 ± 1</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
0.13 -5.6
ROENCHEN 15A DPWA Multichannel

$\Delta(1600)$ BREIT-WIGNER 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>1500 to 1640 (≈ 1570) OUR ESTIMATE</strong></td></tr><tr><td>1664±16</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1520±20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1600±50</td><td>CUTKOSKY</td><td>80</td><td>IPWA $\pi N \rightarrow \pi N$</td></tr><tr><td>1522±13</td><td>HOEHLER</td><td>79</td><td>IPWA $\pi N \rightarrow \pi N$</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
1510±20 ANISOVICH 12A DPWA Multichannel
1626±8 SHRESTHA 12A DPWA Multichannel
1667±1 PENNER 02C DPWA Multichannel
1687±44 VRANA 00 DPWA Multichannel

¹ Statistical error only.

$\Delta(1600)$ BREIT-WIGNER 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>200 to 300 (≈ 250) OUR ESTIMATE</strong></td></tr><tr><td>322±46</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>235±30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>300±100</td><td>CUTKOSKY</td><td>80</td><td>IPWA $\pi N \rightarrow \pi N$</td></tr><tr><td>220±40</td><td>HOEHLER</td><td>79</td><td>IPWA $\pi N \rightarrow \pi N$</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
220±45 ANISOVICH 12A DPWA Multichannel
225±18 SHRESTHA 12A DPWA Multichannel
397±10 PENNER 02C DPWA Multichannel
493±75 VRANA 00 DPWA Multichannel

¹ Statistical error only.

$\Delta(1600)$ DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_i/\Gamma$)</th></tr></thead><tbody><tr><td>$\Gamma_1$ $N\pi$</td><td>8-24%</td></tr><tr><td>$\Gamma_2$ $N\pi\pi$</td><td>58-84%</td></tr><tr><td>$\Gamma_3$ $\Delta(1232)\pi$</td><td>58-82%</td></tr><tr><td>$\Gamma_4$ $\Delta(1232)\pi, P$-wave</td><td>72-82%</td></tr><tr><td>$\Gamma_5$ $\Delta(1232)\pi, F$-wave</td><td>&lt;2%</td></tr><tr><td>$\Gamma_6$ $N(1440)\pi$</td><td>17-27%</td></tr><tr><td>$\Gamma_7$ $N\gamma$</td><td>0.001-0.035%</td></tr><tr><td>$\Gamma_8$ $N\gamma$, helicity=1/2</td><td>0.0-0.02%</td></tr><tr><td>$\Gamma_9$ $N\gamma$, helicity=3/2</td><td>0.001-0.015%</td></tr></tbody></table>

$\Delta(1600)$ BRANCHING RATIOS

$\Gamma(N\pi)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>8-24% OUR ESTIMATE</strong></td></tr><tr><td>10.7±1.9</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>14 ± 4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>18 ± 4</td><td>CUTKOSKY</td><td>80</td><td>IPWA $\pi N \rightarrow \pi N$</td></tr><tr><td>21 ± 6</td><td>HOEHLER</td><td>79</td><td>IPWA $\pi N \rightarrow \pi N$</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
12 ± 5 ANISOVICH 12A DPWA Multichannel
8 ± 2 SHRESTHA 12A DPWA Multichannel
13 ± 1 PENNER 02C DPWA Multichannel
28 ± 5 VRANA 00 DPWA Multichannel

¹ Statistical error only.

$\Gamma(\Delta(1232)\pi, P$-wave)/$\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>72-82% OUR ESTIMATE</strong></td></tr><tr><td>64 ± 6</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>77 ± 5</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
78 ± 6 ANISOVICH 12A DPWA Multichannel
70 ± 3 SHRESTHA 12A DPWA Multichannel
59±10 VRANA 00 DPWA Multichannel

<table><tbody><tr><td>78±6</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>70±3</td><td>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>59±10</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

$\Gamma(\Delta(1232)\pi, F$-wave)/$\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>&lt;2% OUR ESTIMATE</strong></td></tr><tr><td>&lt;2</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(N(1440)\pi)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>17-27% OUR ESTIMATE</strong></td></tr><tr><td>22±5</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>22±3</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>13±4</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

$\Delta(1600)$ PHOTON DECAY AMPLITUDES AT THE POLE

$\Delta(1600) \rightarrow N\gamma$, helicity-1/2 amplitude $A_{1/2}$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.025±0.005</td><td>0.5 ± 3.0</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.053±0.010</td><td>130 ± 15</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
-0.230 -42 ROENCHEN 15A DPWA Multichannel

$\Delta(1600) \rightarrow N\gamma$, helicity-3/2 amplitude $A_{3/2}$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.006±0.0013</td><td>62 ± 32</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.055±0.010</td><td>152 ± 15</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
0.332 -71 ROENCHEN 15A DPWA Multichannel

$\Delta(1600)$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

$\Delta(1600) \rightarrow N\gamma$, helicity-1/2 amplitude $A_{1/2}$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-0.060 to -0.030 (≈ -0.045) OUR ESTIMATE</strong></td></tr><tr><td>0.0082±0.0014</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>-0.051 ± 0.010</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-0.018 ± 0.015</td><td>1 ARNDT</td><td>96</td><td>IPWA $\gamma N \rightarrow \pi N$</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
-0.050 ± 0.009 ANISOVICH 12A DPWA Multichannel
0.006 ± 0.005 SHRESTHA 12A DPWA Multichannel
0.0 PENNER 02D DPWA Multichannel

¹ Statistical error only.

$\Delta(1600) \rightarrow N\gamma$, helicity-3/2 amplitude $A_{3/2}$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-0.050 to -0.020 (≈ -0.035) OUR ESTIMATE</strong></td></tr><tr><td>0.048±0.014</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>-0.055±0.010</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-0.025±0.015</td><td>1 ARNDT</td><td>96</td><td>IPWA $\gamma N \rightarrow \pi N$</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc.
-0.040 ± 0.012 ANISOVICH 12A DPWA Multichannel
0.052±0.008 SHRESTHA 12A DPWA Multichannel
-0.024 PENNER 02D DPWA Multichannel

¹ Statistical error only.

$\Delta(1600)$ REFERENCES

For early references, see Physics Letters **111B** 1 (1982).

<table><tbody><tr><td>ROENCHEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al. (JULI, GWU, BONN+)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td></tr><tr><td>ROENCHEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen et al.</td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Sokhoyan et al. (CBELSA/TAPS Collab.)</td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al. (PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al. (RBI Zagreb, UNI Tuza)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al. (BONN, PNPI)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Manley (KSU)</td></tr><tr><td>ARNDT</td><td>06</td><td>PR C74 045205</td><td>R.A. Arndt et al. (GWU)</td></tr><tr><td>PENNER</td><td>02C</td><td>PR C66 055211</td><td>G. Penner, U. Mosel (GIES)</td></tr><tr><td>PENNER</td><td>02D</td><td>PR C66 055212</td><td>G. Penner, U. Mosel (GIES)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytman, T.-S.H. Lee (PITT, ANL)</td></tr><tr><td>ARNDT</td><td>96</td><td>PR C53 430</td><td>R.A. Arndt, I.I. Strakovsky, R.L. Workman (VPI)</td></tr><tr><td>HOEHLER</td><td>93</td><td>$\pi N$ Newsletter 9 1</td><td>G. Hohler (KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al. (CMU, LBL) JP</td></tr><tr><td>Also</td><td>79</td><td>PR D20 2839</td><td>R.E. Cutkosky et al. (CMU, LBL) JP</td></tr><tr><td>HOEHLER</td><td>Also</td><td>PDAT 12-1</td><td>G. Hohler et al. (KARLT) JP</td></tr><tr><td></td><td></td><td>Toronto Conf. 3</td><td>R. Koch (KARLT) JP</td></tr></tbody></table>
$$\Delta(1620) \ 1/2^-$$

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

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

## Δ(1620) 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>1590 to 1610 (≈ 1600) OUR ESTIMATE</strong></td></tr><tr><td>1607 ± 2</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>1597 ± 5</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1603 ± 7 ± 2</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1600 ± 15</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1577</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1600</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1597 ± 4</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1595</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1607</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1608</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

### -2xIMAGINARY 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>80 to 140 (≈ 110) OUR ESTIMATE</strong></td></tr><tr><td>85 ± 3</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>134 ± 8</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>114 ± 12 ± 4</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>120 ± 20</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>101</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>65</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>130 ± 9</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>135</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>148</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>116</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

## Δ(1620) ELASTIC POLE RESIDUE

### MODULUS |r|

<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>10 to 20 (≈ 15) OUR ESTIMATE</strong></td></tr><tr><td>12 ± 1</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>20 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>17 ± 2 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>15 ± 2</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>16</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>18 ± 2</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>15</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>19</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

### PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-120 to -80 (≈ -100) OUR ESTIMATE</strong></td></tr><tr><td>126 ± 2</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-90 ± 15</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-106 ± 10 ± 4</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>-110 ± 20</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-104</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-100 ± 5</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-92</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>-95</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

## Δ(1620) INELASTIC POLE RESIDUE

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

### Normalized residue in $Nπ → Δ(1620) → Δπ, D-wave$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.32 ± 0.01</td><td>81 ± 1</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.42 ± 0.06</td><td>-90 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.57</td><td>105</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.38 ± 0.09</td><td>-85 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

### Normalized residue in $Nπ → Δ(1620) → ΣK$

<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 ± 0.01</td><td>-120 ± 3</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.22</td><td>-105</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

### Normalized residue in $Nπ → Δ(1620) → N(1440)π$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.10 ± 0.06</td><td>-65 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

## Δ(1620) BREIT-WIGNER 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>1590 to 1630 (≈ 1610) OUR ESTIMATE</strong></td></tr><tr><td>1635 ± 8</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>1589 ± 3</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1595 ± 8</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1615.2 ± 0.4</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1620 ± 20</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>1610 ± 7</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1600 ± 8</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1600 ± 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1612 ± 2</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>1617 ± 15</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

## Δ(1620) BREIT-WIGNER 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>110 to 150 (≈ 130) OUR ESTIMATE</strong></td></tr><tr><td>144 ± 16</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>107 ± 7</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>135 ± 9</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>146.9 ± 1.9</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>140 ± 20</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>139 ± 18</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>130 ± 11</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>112 ± 2</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>202 ± 7</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>143 ± 42</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

## Δ(1620) DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>1</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>25-35 %</td></tr><tr><td>Γ<sub>2</sub> Nππ</td><td>>67 %</td></tr><tr><td>Γ<sub>3</sub> Δ(1232)π, D-wave</td><td>44-72 %</td></tr><tr><td>Γ<sub>4</sub> Nρ</td><td>23-32 %</td></tr><tr><td>Γ<sub>5</sub> Nρ, S=1/2, S-wave</td><td>23-32 %</td></tr><tr><td>Γ<sub>6</sub> Nρ, S=3/2, D-wave</td><td>&lt;0.04 %</td></tr><tr><td>Γ<sub>7</sub> N(1440)π</td><td>&lt;9 %</td></tr><tr><td>Γ<sub>8</sub> Nγ, helicity=1/2</td><td>0.03-0.10 %</td></tr></tbody></table>

## Δ(1620) BRANCHING RATIOS

<table><thead><tr><th>Γ(Nπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>25 to 35 (≈ 30) OUR ESTIMATE</strong></td></tr><tr><td>24 ± 2</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>28 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>31.5 ± 0.1</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>25 ± 3</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>35 ± 6</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>28 ± 3</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>33 ± 2</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>34 ± 1</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>45 ± 5</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

<table><thead><tr><th>Γ(Nππ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.90 ± 0.10</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr></tbody></table>
$$\Gamma(\Delta(1232)\pi, D\text{-wave})/\Gamma_{\text{total}}$$

$$\Gamma_3/\Gamma$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>48 ± 4</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>62 ± 10</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>60 ± 17</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>32 ± 2</td><td>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>39 ± 2</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

$$\Gamma(N\rho, S=1/2, S\text{-wave})/\Gamma_{\text{total}}$$

$$\Gamma_5/\Gamma$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>27 ± 4</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>26 ± 2</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>14 ± 3</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

$$\Gamma(N\rho, S=3/2, D\text{-wave})/\Gamma_{\text{total}}$$

$$\Gamma_6/\Gamma$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.04</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

$$\Gamma(N(1440)\pi)/\Gamma_{\text{total}}$$

$$\Gamma_7/\Gamma$$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.02</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>6 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>9 ± 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

## Δ(1620) PHOTON DECAY AMPLITUDES AT THE POLE

$$\Delta(1620) \rightarrow N\gamma, \text{helicity-1/2 amplitude } A_{1/2}$$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.011 ± 0.002</td><td>57 ± 12</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.054 ± 0.007</td><td>-6 ± 7</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.014</td><td>26</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

## Δ(1620) BREIT-WIGNER PHOTON DECAY AMPLITUDES

$$\Delta(1620) \rightarrow N\gamma, \text{helicity-1/2 amplitude } A_{1/2}$$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>0.030 to 0.060 (≈ 0.050) OUR ESTIMATE</strong></td></tr><tr><td>0.029 ± 0.0062</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup>p</td></tr><tr><td>0.0124 ± 0.0007</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.055 ± 0.007</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.029 ± 0.003</td><td>1 WORKMAN</td><td>12A</td><td>DPWA γN → πN</td></tr><tr><td>0.050 ± 0.002</td><td>1 DUGGER</td><td>07</td><td>DPWA γN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.052 ± 0.005</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-0.003 ± 0.003</td><td>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.066</td><td>DRECHSEL</td><td>07</td><td>DPWA γN → πN</td></tr><tr><td>-0.050</td><td>PENNER</td><td>02D</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

## Δ(1620) REFERENCES

For early references, see Physics Letters **111B** 1 (1982).

<table><tbody><tr><td>ROENCHEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al.</td><td>(JULI, GWU, BONN+)</td></tr><tr><td>GOLOVATCH</td><td>19</td><td>PL B788 371</td><td>E. Golovatch et al.</td><td>(CLAS Collab.)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>ROENCHEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen et al.</td><td></td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Sokhoyan et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al.</td><td>(PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, UNI Tuzda)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPI)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Manley</td><td>(KSU)</td></tr><tr><td>WORKMAN</td><td>12A</td><td>PR C86 015202</td><td>R. Workman et al.</td><td>(GWU)</td></tr><tr><td>DRECHSEL</td><td>07</td><td>EPJ A34 69</td><td>D. Drechsel, S.S. Kamalov, L. Tiator</td><td>(MAINZ, JINR)</td></tr><tr><td>DUGGER</td><td>07</td><td>PR C76 025211</td><td>M. Dugger et al.</td><td>(JLab CLAS Collab.)</td></tr><tr><td>ARNDT</td><td>06</td><td>PR C74 045205</td><td>R.A. Arndt et al.</td><td>(GWU)</td></tr><tr><td>PENNER</td><td>02C</td><td>PR C66 055211</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>PENNER</td><td>02D</td><td>PR C66 055212</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytmans, T.-S.H. Lee</td><td>(PITF, ANL)</td></tr><tr><td>HOEHLER</td><td>93</td><td>πN Newsletter 9 1</td><td>G. Hohler</td><td>(KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>Also</td><td></td><td>PR D20 2839</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hohler et al.</td><td>(KARLT) IJP</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 3</td><td>R. Koch</td><td>(KARLT) IJP</td></tr></tbody></table>

$$\Delta(1700) \ 3/2^{-}$$

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

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics **C38** 070001 (2014).

## Δ(1700) 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>1640 to 1690 (≈ 1665) OUR ESTIMATE</strong></td></tr><tr><td>1637 ± 32</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>1685 ± 10</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1643 ± 6 ± 3</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1675 ± 25</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>1693</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1677</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1685 ± 10</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1680 ± 10</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1632</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1726</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1651</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

### -2xIMAGINARY 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>200 to 300 (≈ 250) OUR ESTIMATE</strong></td></tr><tr><td>295 ± 29</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 15</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>217 ± 10 ± 8</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>220 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>213</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>305</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 15</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>305 ± 15</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>253</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>118</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>159</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

## Δ(1700) ELASTIC POLE RESIDUE

### MODULUS |r|

<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>10 to 40 (≈ 25) OUR ESTIMATE</strong></td></tr><tr><td>15 ± 12</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>40 ± 6</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>13 ± 1 ± 1</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>13 ± 3</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>24</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>40 ± 6</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>42 ± 7</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>18</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>10</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

### PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-40 to 0 (≈ - 20) OUR ESTIMATE</strong></td></tr><tr><td>-13 ± 74</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-1 ± 10</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-30 ± 4 ± 3</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>-40</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>-20 ± 25</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>-7.3</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-1 ± 10</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-3 ± 15</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

## Δ(1700) INELASTIC POLE RESIDUE

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

### Normalized residue in $N\pi \rightarrow \Delta(1700) \rightarrow \Delta\eta$

<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 ± 0.02</td><td>-60 ± 12</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.12 ± 0.03</td><td>-60 ± 15</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>
Normalized residue in $N\pi \rightarrow \Delta(1700) \rightarrow \Sigma K$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.007 ± 0.008</td><td>-176 ± 160</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.011</td><td>-147</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1700) \rightarrow N(1535)\pi$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.035 ± 0.015</td><td>-75 ± 30</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1700) \rightarrow \Delta(1232)\pi, S$-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>0.20 ± 0.15</td><td>146 ± 133</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.25 ± 0.12</td><td>135 ± 45</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.39</td><td>151</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1700) \rightarrow \Delta(1232)\pi, D$-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>0.038 ± 0.039</td><td>127 ± 127</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.12 ± 0.06</td><td>-160 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.054</td><td>166</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1700) \rightarrow N(1520)\pi, P$-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>0.10 ± 0.03</td><td>-10 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1700) BREIT-WIGNER 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">1690 to 1730 (≈ 1710) OUR ESTIMATE</td></tr><tr><td>1704 ± 8</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>1720 ± 5</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1715 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1695.0 ± 1.3</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1710 ± 30</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>1680 ± 70</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1715 ± 20</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1715 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1691 ± 4</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1678 ± 1</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>1732 ± 23</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

Δ(1700) BREIT-WIGNER 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">220 to 380 (≈ 300) OUR ESTIMATE</td></tr><tr><td>295 ± 35</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>226 ± 14</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 25</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>375.5 ± 7.0</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>280 ± 80</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>230 ± 80</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>300 ± 25</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>310 ± 40</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>248 ± 9</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>606 ± 15</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>119 ± 70</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

Δ(1700) DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>j</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>10–20 %</td></tr><tr><td>Γ<sub>2</sub> Nππ</td><td>>31 %</td></tr><tr><td>Γ<sub>3</sub> Δ(1232)π</td><td>9–70 %</td></tr><tr><td>Γ<sub>4</sub> Δ(1232)π, S-wave</td><td>5–54 %</td></tr><tr><td>Γ<sub>5</sub> Δ(1232)π, D-wave</td><td>4–16 %</td></tr><tr><td>Γ<sub>6</sub> Np, S=3/2, S-wave</td><td>22–32%</td></tr><tr><td>Γ<sub>7</sub> N(1520)π, P-wave</td><td>1–5 %</td></tr><tr><td>Γ<sub>8</sub> N(1535)π</td><td>0.5–1.5 %</td></tr><tr><td>Γ<sub>9</sub> Δ(1232)η</td><td>3–7 %</td></tr><tr><td>Γ<sub>10</sub> Nγ</td><td>0.22–0.60 %</td></tr><tr><td>Γ<sub>11</sub> Nγ, helicity=1/2</td><td>0.12–0.30 %</td></tr><tr><td>Γ<sub>12</sub> Nγ, helicity=3/2</td><td>0.10–0.30 %</td></tr></tbody></table>

Δ(1700) BRANCHING RATIOS

$\Gamma(N\pi)/\Gamma_{\text{total}} \qquad \Gamma_1/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">10 to 20 OUR ESTIMATE</td></tr><tr><td>15 ± 2</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>22 ± 4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>15.6 ± 0.1</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>12 ± 3</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>20 ± 3</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>22 ± 4</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>22 ± 4</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>14 ± 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>14 ± 1</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>5 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

$\Gamma(N\pi\pi)/\Gamma_{\text{total}} \qquad \Gamma_2/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.89 ± 0.11</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr></tbody></table>

$\Gamma(\Delta(1232)\pi, S$-wave)/$\Gamma_{\text{total}} \qquad \Gamma_4/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>49 ± 5</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>20 ± 15</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>20<sup>+25</sup><sub>-13</sub></td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>54 ± 3</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>90 ± 2</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

$\Gamma(\Delta(1232)\pi, D$-wave)/$\Gamma_{\text{total}} \qquad \Gamma_5/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>7.6 ± 0.3</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>10 ± 6</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>12<sup>+14</sup><sub>-7</sub></td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1 ± 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>4 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

$\Gamma(N\rho, S=3/2, S$-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>27 ± 5</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>30 ± 3</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

$\Gamma(N(1520)\pi, P$-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>3 ± 2</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(N(1535)\pi)/\Gamma_{\text{total}} \qquad \Gamma_8/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.0 ± 0.5</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>4 ± 2</td><td>HORN</td><td>08A</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(\Delta(1232)\eta)/\Gamma_{\text{total}} \qquad \Gamma_9/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5 ± 2</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>5 ± 2</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(N(1535)\pi)/\Gamma(\Delta(1232)\eta) \qquad \Gamma_8/\Gamma_9$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.67</td><td>KASHEVAROV</td><td>09</td><td>CBAL γp → pπ<sup>0</sup>η</td></tr></tbody></table>

Δ(1700) PHOTON DECAY AMPLITUDES AT THE POLE

$\Delta(1700) \rightarrow N\gamma, \text{ helicity-1/2 amplitude } A_{1/2}$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.163 ± 0.060</td><td>-4.4 ± 39</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.175 ± 0.020</td><td>50 ± 10</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>
### $\Delta(1700) \to N\gamma$, helicity-3/2 amplitude $A_{3/2}$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.221 ± 0.093</td><td>-12 ± 40</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.180 ± 0.020</td><td>45 ± 10</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.124</td><td>22</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

### $\Delta(1700)$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

### $\Delta(1700) \to N\gamma$, helicity-1/2 amplitude $A_{1/2}$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>0.100 to 0.160 (≈ 0.130) OUR ESTIMATE</strong></td></tr><tr><td>0.0872 ± 0.0189</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>0.156 ± 0.017</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.165 ± 0.020</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.132 ± 0.005</td><td>1 DUGGER</td><td>13</td><td>DPWA γN → πN</td></tr><tr><td>0.105 ± 0.005</td><td>1 WORKMAN</td><td>12A</td><td>DPWA γN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.165 ± 0.020</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>0.160 ± 0.020</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.058 ± 0.010</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.226</td><td>DRECHSEL</td><td>07</td><td>DPWA γN → πN</td></tr><tr><td>0.125 ± 0.003</td><td>DUGGER</td><td>07</td><td>DPWA γN → πN</td></tr><tr><td>0.096</td><td>PENNER</td><td>02D</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

### $\Delta(1700) \to N\gamma$, helicity-3/2 amplitude $A_{3/2}$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>0.090 to 0.170 (≈ 0.130) OUR ESTIMATE</strong></td></tr><tr><td>0.0872 ± 0.0164</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>0.0125 ± 0.0016</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.170 ± 0.025</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.108 ± 0.005</td><td>1 DUGGER</td><td>13</td><td>DPWA γN → πN</td></tr><tr><td>0.092 ± 0.004</td><td>1 WORKMAN</td><td>12A</td><td>DPWA γN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.170 ± 0.025</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>0.165 ± 0.025</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.097 ± 0.008</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.210</td><td>DRECHSEL</td><td>07</td><td>DPWA γN → πN</td></tr><tr><td>0.105 ± 0.003</td><td>DUGGER</td><td>07</td><td>DPWA γN → πN</td></tr><tr><td>0.154</td><td>PENNER</td><td>02D</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

### $\Delta(1700)$ REFERENCES

For early references, see Physics Letters **111B** 1 (1982).

<table><tbody><tr><td>ROenchEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al.</td><td>(JULI, GWU, BONN+)</td></tr><tr><td>GOLOVATCH</td><td>19</td><td>PL B788 371</td><td>E. Gutzatch et al.</td><td>(CLAS Collab.)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>ROenchEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen</td><td></td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Sokhoyan et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>GUTZ</td><td>14</td><td>EPJ A50 74</td><td>E. Gutz et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al.</td><td>(PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, UNI Tuza)</td></tr><tr><td>DUGGER</td><td>13</td><td>PR C88 065203</td><td>M. Dugger et al.</td><td>(JLab CLAS Collab.)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPI)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Manley</td><td>(KSU)</td></tr><tr><td>WORKMAN</td><td>12A</td><td>PR C86 015202</td><td>R. Workman et al.</td><td>(GWU)</td></tr><tr><td>KASHEVAROV</td><td>09</td><td>EPJ A42 141</td><td>V.L. Kashevarov et al.</td><td>(MAMI Crystal Ball/TAPS)</td></tr><tr><td>HORN</td><td>08A</td><td>EPJ A38 173</td><td>I. Horn et al.</td><td>(CB-ELSA Collab.)</td></tr><tr><td>Also</td><td></td><td>PRL 101 202002</td><td>I. Horn et al.</td><td>(CB-ELSA Collab.)</td></tr><tr><td>DRECHSEL</td><td>07</td><td>EPJ A34 69</td><td>D. Drechsel, S.S. Kamalov, L. Tiator</td><td>(MAINZ, JINR)</td></tr><tr><td>DUGGER</td><td>07</td><td>PR C76 025211</td><td>M. Dugger et al.</td><td>(JLab CLAS Collab.)</td></tr><tr><td>ARNDT</td><td>06</td><td>PR C74 045205</td><td>R.A. Arndt et al.</td><td>(GWU)</td></tr><tr><td>PENNER</td><td>02C</td><td>PR C66 055211</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>PENNER</td><td>02D</td><td>PR C66 055212</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytman, T.-S.H. Lee</td><td>(PITT, ANL)</td></tr><tr><td>HOEHLER</td><td>93</td><td>πN Newsletter 9 1</td><td>G. Hohler</td><td>(KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) UP</td></tr><tr><td>Also</td><td></td><td>PR D20 2839</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) UP</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hohler et al.</td><td>(KARLT) UP</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 3</td><td>R. Koch</td><td>(KARLT) UP</td></tr></tbody></table>

$$ \Delta(1750) 1/2^+ $$

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

OMITTED FROM SUMMARY TABLE

### $\Delta(1750)$ 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">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1748</td><td>ARNDT</td><td>04</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1714</td><td>VRANA</td><td>00</td><td>DPWA 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 colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>524</td><td>ARNDT</td><td>04</td><td>DPWA πN → πN, ηN</td></tr><tr><td>68</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

### $\Delta(1750)$ ELASTIC POLE RESIDUE

#### MODULUS $|r|$

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>48</td><td>ARNDT</td><td>04</td><td>DPWA πN → πN, ηN</td></tr></tbody></table>

#### PHASE $\theta$

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>158</td><td>ARNDT</td><td>04</td><td>DPWA πN → πN, ηN</td></tr></tbody></table>

### $\Delta(1750)$ BREIT-WIGNER 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">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1712 ± 1</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>1721 ± 61</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

### $\Delta(1750)$ BREIT-WIGNER 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">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>643 ± 17</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>70 ± 50</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

### $\Delta(1750)$ 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> Nπ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> N(1440)π</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> ΣK</td><td>seen</td></tr></tbody></table>

### $\Delta(1750)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(Nπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1 ± 1</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>6 ± 9</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(N(1440)π)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>83 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(ΣK)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.1 ± 0.1</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr></tbody></table>

### $\Delta(1750)$ BREIT-WIGNER PHOTON DECAY AMPLITUDES

Papers on $\gamma N$ amplitudes predating 1981 may be found in our 2006 edition, Journal of Physics **G33** 1 (2006).

### $\Delta(1750) \to N\gamma$, helicity-1/2 amplitude $A_{1/2}$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.053</td><td>PENNER</td><td>02D</td><td>DPWA Multichannel</td></tr></tbody></table>

### $\Delta(1750)$ REFERENCES

<table><tbody><tr><td>PDG</td><td>06</td><td>JP G33 1</td><td>W.-M. Yao et al.</td><td>(PDG Collab.)</td></tr><tr><td>ARNDT</td><td>04</td><td>PR C69 035213</td><td>R.A. Arndt et al.</td><td>(GWU, TRIU)</td></tr><tr><td>PENNER</td><td>02C</td><td>PR C66 055211</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>PENNER</td><td>02D</td><td>PR C66 055212</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytman, T.-S.H. Lee</td><td>(PITT, ANL)</td></tr></tbody></table>
$$\Delta(1900) \ 1/2^-$$

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

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

## Δ(1900) 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>1830 to 1900 (≈ 1865) OUR ESTIMATE</strong></td></tr><tr><td>1845 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1865 ± 35 ± 19</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1870 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1957</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1845 ± 20</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1845 ± 25</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1795</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1780</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

### -2xIMAGINARY 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>180 to 300 (≈ 240) OUR ESTIMATE</strong></td></tr><tr><td>295 ± 35</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>187 ± 50 ± 19</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>180 ± 50</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>447</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>295 ± 35</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 45</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>58</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

## Δ(1900) ELASTIC POLE RESIDUE

### MODULUS |r|

<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>8 to 14 (≈ 11) OUR ESTIMATE</strong></td></tr><tr><td>11 ± 2</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>11 ± 4 ± 2</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>10 ± 3</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>11 ± 2</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>10 ± 3</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

### PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-115 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>20 ± 27 ± 19</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>+ 20 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-115 ± 20</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-125 ± 20</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

## Δ(1900) INELASTIC POLE RESIDUE

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

### Normalized residue in $Nπ → Δ(1900) → ΣK$

<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>-50 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

### Normalized residue in $Nπ → Δ(1900) → Δπ, D-wave$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.18 ± 0.10</td><td>105 ± 25</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>0.12 + 0.08 / -0.05</td><td>110 ± 20</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

### Normalized residue in $Nπ → Δ(1900) → Δ(1232)η$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.013 ± 0.006</td><td>undefined</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

### Normalized residue in $Nπ → Δ(1900) → N(1440)π$

<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 ± 0.06</td><td>115 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

### Normalized residue in $Nπ → Δ(1900) → N(1520)π$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.06 ± 0.03</td><td>undefined</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

## Δ(1900) BREIT-WIGNER 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>1840 to 1920 (≈ 1860) OUR ESTIMATE</strong></td></tr><tr><td>1989 ± 22</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1840 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1890 ± 50</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>1908 ± 30</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1840 ± 20</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1840 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1868 ± 12</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1802 ± 87</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

## Δ(1900) BREIT-WIGNER 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>180 to 320 (≈ 250) OUR ESTIMATE</strong></td></tr><tr><td>457 ± 60</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>295 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>170 ± 50</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>140 ± 40</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>295 ± 30</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 45</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>234 ± 27</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>48 ± 45</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

## Δ(1900) DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub></td><td>Nπ 4-12%</td></tr><tr><td>Γ<sub>2</sub></td><td>ΣK seen</td></tr><tr><td>Γ<sub>3</sub></td><td>Nππ &gt; 52%</td></tr><tr><td>Γ<sub>4</sub></td><td>Δ(1232)π, D-wave 30-70%</td></tr><tr><td>Γ<sub>5</sub></td><td>Nρ 22-60%</td></tr><tr><td>Γ<sub>6</sub></td><td>Nρ, S=1/2, S-wave 11-35%</td></tr><tr><td>Γ<sub>7</sub></td><td>Nρ, S=3/2, D-wave 11-25%</td></tr><tr><td>Γ<sub>8</sub></td><td>N(1440)π 3-32%</td></tr><tr><td>Γ<sub>9</sub></td><td>N(1520)π 2-10%</td></tr><tr><td>Γ<sub>10</sub></td><td>Δ(1232)η &lt; 2%</td></tr><tr><td>Γ<sub>11</sub></td><td>Nγ, helicity=1/2 0.06-0.43%</td></tr></tbody></table>

## Δ(1900) BRANCHING RATIOS

### $Γ(Nπ)/Γ_{total}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>4-12% OUR ESTIMATE</strong></td></tr><tr><td>3.7 ± 0.8</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>7 ± 2</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>10 ± 3</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>8 ± 4</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>7 ± 2</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>7 ± 3</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>8 ± 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>33 ± 10</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

### $Γ(Δ(1232)π, D-wave)/Γ_{total}$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>30-70% OUR ESTIMATE</strong></td></tr><tr><td>42 ± 8</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>50 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>15 + 50 / -10</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>56 ± 6</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>28 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.
Γ(Nρ, S=1/2, S-wave)/Γ<sub>total</sub>

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>11-35% OUR ESTIMATE</strong></td></tr><tr><td>23±12</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>12±4</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>30±2</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">1 Statistical error only.</td></tr></tbody></table>

Γ(Nρ, S=3/2, D-wave)/Γ<sub>total</sub>

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>11-25% OUR ESTIMATE</strong></td></tr><tr><td>18±7</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>23±5</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>5±1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">1 Statistical error only.</td></tr></tbody></table>

Γ(N(1440)π)/Γ<sub>total</sub>

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>3-32% OUR ESTIMATE</strong></td></tr><tr><td>12±9</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>20±12</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt; 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>4±1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">1 Statistical error only.</td></tr></tbody></table>

Γ(N(1520)π)/Γ<sub>total</sub>

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>2-10% OUR ESTIMATE</strong></td></tr><tr><td>6±4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Γ(Δ(1232)η)/Γ<sub>total</sub>

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt; 2% OUR ESTIMATE</td><td></td><td></td><td></td></tr><tr><td>1±1</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1900) PHOTON DECAY AMPLITUDES AT THE POLE

Δ(1900) → Nγ, helicity-1/2 amplitude A<sub>1/2</sub>

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.064 ± 0.015</td><td>60 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1900) BREIT-WIGNER PHOTON DECAY AMPLITUDES

Δ(1900) → Nγ, helicity-1/2 amplitude A<sub>1/2</sub>

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.212 ± 0.029</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.065 ± 0.015</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.057 ± 0.014</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-0.082 ± 0.009</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">1 Statistical error only.</td></tr></tbody></table>

Δ(1900) REFERENCES

For early references, see Physics Letters **11B** 1 (1982).

<table><tbody><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Mankey</td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Sokhoyan et al. (CBELSA/TAPS Collab.)</td></tr><tr><td>GUTZ</td><td>14</td><td>EPJ A50 74</td><td>E. Gutz et al. (CBELSA/TAPS Collab.)</td></tr><tr><td>PDG</td><td>14</td><td>CP C80 070001</td><td>K. Olive et al. (PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al. (RBI Zagreb, UNI Tuzla)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>(BONN, PNPi)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Mankey (KSU)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytmans, T.-S.H. Lee (PITF, ANL)</td></tr><tr><td>HOEHLER</td><td>93</td><td>π N Newsletter 9 1</td><td>G. Hohler (KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al. (CMU, LBL) IJP</td></tr><tr><td>Also</td><td></td><td>PR D20 2839</td><td>R.E. Cutkosky et al. (CMU, LBL) IJP</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hohler et al. (KARLT) IJP</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 3</td><td>R. Koch (KARLT) IJP</td></tr></tbody></table>

Δ(1905) 5/2<sup>+</sup>

$I(J^P) = \frac{3}{2}(\frac{5}{2}^+) \text{ Status: } ****$

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics **C38** 070001 (2014).

Δ(1905) 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>1750 to 1800 (≈ 1770) OUR ESTIMATE</strong></td></tr><tr><td>1707 ± 1</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>1800 ± 6</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1752 ± 3 ± 2</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1830 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

Γ<sub>6</sub>/Γ

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

<table><tbody><tr><td>1819</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1795</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1800 ± 6</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1805 ± 10</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1819</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1793</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1829</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

1 Fit to the amplitudes of HOEHLER 79.

-2xIMAGINARY 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>260 to 340 (≈ 300) OUR ESTIMATE</strong></td></tr><tr><td>127 ± 4</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>290 ± 15</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>346 ± 6 ± 2</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>280 ± 60</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>253</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>247</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>290 ± 15</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 15</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>247</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>302</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>303</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

1 Fit to the amplitudes of HOEHLER 79.

Δ(1905) ELASTIC POLE RESIDUE

MODULUS |r|

<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>15 to 25 (≈ 20) OUR ESTIMATE</strong></td></tr><tr><td>3.7 ± 1.0</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>19 ± 2</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>24 ± 1 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>25 ± 8</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>5.3</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>19 ± 2</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>20 ± 2</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>15</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>25</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

1 Fit to the amplitudes of HOEHLER 79.

PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-120 to -30 (≈ -45) OUR ESTIMATE</strong></td></tr><tr><td>-92 ± 6</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-45 ± 4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-114 ± 1 ± 2</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>-50 ± 20</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>-89</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-45 ± 4</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-44 ± 5</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-30</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr></tbody></table>

1 Fit to the amplitudes of HOEHLER 79.

Δ(1905) INELASTIC POLE RESIDUE

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

Normalized residue in $Nπ → Δ(1905) → Δπ, P-wave$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.10 ± 0.01</td><td>-109 ± 7</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.19 ± 0.07</td><td>10 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.0870</td><td>72</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.25 ± 0.06</td><td>0 ± 15</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1905) → Δπ, F-wave$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.017 ± 0.002</td><td>18 ± 8</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.009</td><td>64</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1905) → ΣK$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0020 ± 0.0002</td><td>154 ± 6</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.001</td><td>-155</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1905) → N(1535)π$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.025 ± 0.010</td><td>130 ± 35</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>
Normalized residue in $N\pi \rightarrow \Delta(1905) \rightarrow \Delta(1232)\eta$

<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>40 ± 20</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1905) BREIT-WIGNER 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>1855 to 1910 (≈ 1880) OUR ESTIMATE</strong></td></tr><tr><td>1883 ± 19</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>1866 ± 9</td><td><sup>1</sup> HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1856 ± 6</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1857.8 ± 1.6</td><td><sup>1</sup> ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1910 ± 30</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>1905 ± 20</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1856 ± 6</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1861 ± 6</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1818 ± 8</td><td><sup>1</sup> SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1873 ± 77</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup> Statistical error only.</td></tr></tbody></table>

Δ(1905) BREIT-WIGNER 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>270 to 400 (≈ 330) OUR ESTIMATE</strong></td></tr><tr><td>327 ± 69</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>289 ± 20</td><td><sup>1</sup> HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>325 ± 15</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>320.6 ± 8.6</td><td><sup>1</sup> ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>400 ± 100</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>260 ± 20</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>325 ± 15</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>335 ± 18</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>278 ± 18</td><td><sup>1</sup> SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>461 ± 111</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup> Statistical error only.</td></tr></tbody></table>

Δ(1905) DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>j</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>9–15%</td></tr><tr><td>Γ<sub>2</sub> Nππ</td><td>>65%</td></tr><tr><td>Γ<sub>3</sub> Δ(1232)π</td><td>>48%</td></tr><tr><td>Γ<sub>4</sub> Δ(1232)π, P-wave</td><td>8–43%</td></tr><tr><td>Γ<sub>5</sub> Δ(1232)π, F-wave</td><td>40–58%</td></tr><tr><td>Γ<sub>6</sub> Np, S=3/2, P-wave</td><td>17–35%</td></tr><tr><td>Γ<sub>7</sub> N(1535)π</td><td>< 1 %</td></tr><tr><td>Γ<sub>8</sub> N(1680)π, P-wave</td><td>5–15%</td></tr><tr><td>Γ<sub>9</sub> Δ(1232)η</td><td>2–6%</td></tr><tr><td>Γ<sub>10</sub> Nγ</td><td>0.012–0.036 %</td></tr><tr><td>Γ<sub>11</sub> Nγ, helicity=1/2</td><td>0.002–0.006 %</td></tr><tr><td>Γ<sub>12</sub> Nγ, helicity=3/2</td><td>0.01–0.03 %</td></tr></tbody></table>

Δ(1905) BRANCHING RATIOS

<table><thead><tr><th>Γ(Nπ)/Γ<sub>total</sub></th><th>Γ<sub>1</sub>/Γ</th></tr></thead><tbody><tr><td colspan="2"><strong>9–15% OUR ESTIMATE</strong></td></tr><tr><td>17 ±1</td><td><sup>1</sup> HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>13 ±2</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>12.2 ± 0.1</td><td><sup>1</sup> ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>8 ±3</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>15 ±2</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>13 ±2</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>13 ±2</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>6 ±1</td><td><sup>1</sup> SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>9 ±1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup> Statistical error only.</td></tr></tbody></table>

<table><thead><tr><th>Γ(Nππ)/Γ<sub>total</sub></th><th>Γ<sub>2</sub>/Γ</th></tr></thead><tbody><tr><td colspan="2"><strong>>65% OUR ESTIMATE</strong></td></tr><tr><td>0.85 ± 0.15</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr></tbody></table>

<table><thead><tr><th>Γ(Δ(1232)π, P-wave)/Γ<sub>total</sub></th><th>Γ<sub>4</sub>/Γ</th></tr></thead><tbody><tr><td colspan="2"><strong>8–43% OUR ESTIMATE</strong></td></tr><tr><td>8.4 ± 0.5</td><td><sup>1</sup> HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>33 ± 10</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>45 ± 14</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>28 ± 7</td><td><sup>1</sup> SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>23 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

<sup>1</sup> Statistical error only.

$$ \Gamma(\Delta(1232)\pi, F-wave)/\Gamma_{\text{total}} \qquad \Gamma_5/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>40–58% OUR ESTIMATE</strong></td></tr><tr><td>49 ± 9</td><td><sup>1</sup> HUNT</td><td>19</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>64 ± 8</td><td><sup>1</sup> SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>44 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

<sup>1</sup> Statistical error only.

$$ \Gamma(Np, S=3/2, P-wave)/\Gamma_{\text{total}} \qquad \Gamma_6/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>17–35% OUR ESTIMATE</strong></td></tr><tr><td>26 ± 9</td><td><sup>1</sup> HUNT</td><td>19</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>&lt; 6</td><td><sup>1</sup> SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>24 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

<sup>1</sup> Statistical error only.

$$ \Gamma(N(1535)\pi)/\Gamma_{\text{total}} \qquad \Gamma_7/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>&lt; 1% OUR ESTIMATE</strong></td></tr><tr><td>&lt; 1</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

$$ \Gamma(N(1680)\pi, P-wave)/\Gamma_{\text{total}} \qquad \Gamma_8/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>5–15% OUR ESTIMATE</strong></td></tr><tr><td>10 ± 5</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

$$ \Gamma(\Delta(1232)\eta)/\Gamma_{\text{total}} \qquad \Gamma_9/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>2–6% OUR ESTIMATE</strong></td></tr><tr><td>4 ± 2</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1905) PHOTON DECAY AMPLITUDES AT THE POLE

$$ \Delta(1905) \rightarrow N\gamma, \text{ helicity-1/2 amplitude } A_{1/2} $$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.055 ± 0.004</td><td>-159 ± 2</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.025 ± 0.005</td><td>-28 ± 12</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>0.053</td><td>89</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

$$ \Delta(1905) \rightarrow N\gamma, \text{ helicity-3/2 amplitude } A_{3/2} $$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.168 ± 0.020</td><td>172 ± 0.9</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-0.050 ± 0.004</td><td>5 ± 10</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>-0.030</td><td>80</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1905) BREIT-WIGNER PHOTON DECAY AMPLITUDES

$$ \Delta(1905) \rightarrow N\gamma, \text{ helicity-1/2 amplitude } A_{1/2} $$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>0.017 to 0.027 (≈ 0.022) OUR ESTIMATE</strong></td></tr><tr><td>0.019 ± 0.0076</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>0.077 ± 0.010</td><td><sup>1</sup> HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.025 ± 0.005</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.020 ± 0.002</td><td><sup>1</sup> DUGGER</td><td>13</td><td>DPWA γN → πN</td></tr><tr><td>0.019 ± 0.002</td><td><sup>1</sup> WORKMAN</td><td>12A</td><td>DPWA γN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>0.025 ± 0.005</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>0.025 ± 0.004</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.066 ± 0.018</td><td><sup>1</sup> SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.018</td><td>DRECHSEL</td><td>07</td><td>DPWA γN → πN</td></tr></tbody></table>

<sup>1</sup> Statistical error only.

$$ \Delta(1905) \rightarrow N\gamma, \text{ helicity-3/2 amplitude } A_{3/2} $$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-0.055 to -0.035 (≈ -0.045) OUR ESTIMATE</strong></td></tr><tr><td>-0.0432 ± 0.0173</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>-0.053 ± 0.029</td><td><sup>1</sup> HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>-0.050 ± 0.005</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-0.049 ± 0.005</td><td><sup>1</sup> DUGGER</td><td>13</td><td>DPWA γN → πN</td></tr><tr><td>-0.038 ± 0.004</td><td>WORKMAN</td><td>12A</td><td>DPWA γN → πN</td></tr></tbody></table>
• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>-0.050 ± 0.005</td><td>GUTZ</td><td>14</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-0.049 ± 0.004</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-0.223 ± 0.029</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-0.028</td><td>DRECHSEL</td><td>07</td><td>DPWA</td><td>γN → πN</td></tr></table>

¹ Statistical error only.

Δ(1905) REFERENCES

For early references, see Physics Letters **111B** 1 (1982).

<table><tr><td>ROENCHEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al.</td><td>(JULI, GWU, BONN+)</td></tr><tr><td>GOLOVATCH</td><td>19</td><td>PL B788 371</td><td>E. Golovatch et al.</td><td>(CLAS Collab.)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>ROENCHEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen et al.</td><td></td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Sokhoyan et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>GUTZ</td><td>14</td><td>EPJ A50 74</td><td>E. Gutz et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al.</td><td>(PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, Uni TUzla)</td></tr><tr><td>DUGGER</td><td>13</td><td>PR C88 065203</td><td>M. Dugger et al.</td><td>(JLab CLAS Collab.)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPI)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Manley</td><td>(KSU)</td></tr><tr><td>WORKMAN</td><td>12A</td><td>PR C86 015202</td><td>R. Workman et al.</td><td>(GWU)</td></tr><tr><td>DRECHSEL</td><td>07</td><td>EPJ A34 69</td><td>D. Drechsel, S.S. Kamalov, L. Tiator</td><td>(MAINZ, JNR)</td></tr><tr><td>ARNDT</td><td>06</td><td>PR C74 045205</td><td>R.A. Arndt et al.</td><td>(GWU)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytman, T.-S.H. Lee</td><td>(PITT, ANL)</td></tr><tr><td>HOEHLER</td><td>93</td><td>πN Newsletter 9 1</td><td>G. Hoehler</td><td>(KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) UP</td></tr><tr><td>Also</td><td></td><td>PR D20 2839</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) UP</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hoehler et al.</td><td>(KARLT) UP</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 3</td><td>R. Koch</td><td>(KARLT) UP</td></tr></table>

$$ \Delta(1910) \frac{1}{2} + $$

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

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics **C38** 070001 (2014).

Δ(1910) 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>1800 to 1900 (≈ 1850) OUR ESTIMATE</strong></td></tr><tr><td>1802 ± 6</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>1840 ± 40</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1896 ± 11</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1880 ± 30</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tr><td>1801</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1799</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1840 ± 40</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1850 ± 40</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1771</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1880</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1874</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></table>

¹ Fit to the amplitudes of HOEHLER 79.

-2xIMAGINARY 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>200 to 500 (≈ 350) OUR ESTIMATE</strong></td></tr><tr><td>550 ± 11</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>370 ± 60</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>302 ± 22</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>200 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tr><td>224</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>648</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>370 ± 60</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>350 ± 45</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>479</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>496</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>283</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></table>

¹ Fit to the amplitudes of HOEHLER 79.

Δ(1910) ELASTIC POLE RESIDUE

MODULUS |r|

<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>20 to 30 (≈ 25) OUR ESTIMATE</strong></td></tr><tr><td>35 ± 13</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>25 ± 6</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>29 ± 2</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>20 ± 4</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tr><td>90</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>25 ± 6</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>24 ± 6</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>45</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>38</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></table>

¹ Fit to the amplitudes of HOEHLER 79.

PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-180 to 90 (≈ -90) OUR ESTIMATE</strong></td></tr><tr><td>93 ± 7</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-155 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>- 83 ± 4 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>- 90 ± 30</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>- 83</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-155 ± 30</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-145 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>+172</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

Δ(1910) INELASTIC POLE RESIDUE

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

Normalized residue in $Nπ → Δ(1910) → ΣK$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.002 ± 0.002</td><td>138 ± 10</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.07 ± 0.02</td><td>-110 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.019</td><td>-123</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1910) → Δπ, P-wave$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.24 ± 0.09</td><td>-42 ± 7</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.24 ± 0.10</td><td>85 ± 35</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.58</td><td>131</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.16 ± 0.09</td><td>95 ± 40</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1910) → Δ(1232)η$

<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>-150 ± 50</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1910) → N(1440)π$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.06 ± 0.03</td><td>170 ± 45</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1910) BREIT-WIGNER 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>1850 to 1950 (≈ 1900) OUR ESTIMATE</strong></td></tr><tr><td>1846 ± 18</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1845 ± 40</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>2067.9 ± 1.7</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1910 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>1888 ± 20</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1845 ± 40</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1860 ± 40</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1934 ± 5</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1995 ± 12</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

Δ(1910) BREIT-WIGNER 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>200 to 400 (≈ 300) OUR ESTIMATE</strong></td></tr><tr><td>260 ± 57</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>360 ± 60</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>543 ± 10</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>225 ± 50</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>280 ± 50</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>360 ± 60</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>350 ± 55</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>211 ± 11</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>713 ± 465</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

Δ(1910) DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>10-30%</td></tr><tr><td>Γ<sub>2</sub> ΣK</td><td>4-14%</td></tr><tr><td>Γ<sub>3</sub> Δ(1232)π</td><td>34-66%</td></tr><tr><td>Γ<sub>4</sub> N(1440)π</td><td>3-45%</td></tr><tr><td>Γ<sub>5</sub> Δ(1232)η</td><td>5-13%</td></tr><tr><td>Γ<sub>6</sub> Nγ, helicity=1/2</td><td>0.0-0.02%</td></tr></tbody></table>
Δ(1910) BRANCHING RATIOS

<table><thead><tr><th>Γ(Nπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>10-30% OUR ESTIMATE</strong></td></tr><tr><td>13 ± 3</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>12 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>23.9 ± 0.1</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>19 ± 3</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>24 ± 6</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>12 ± 3</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>12 ± 3</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>17 ± 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>29 ± 21</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

<table><thead><tr><th>Γ(ΣK)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>4-14% OUR ESTIMATE</strong></td></tr><tr><td>9 ± 5</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Δ(1232)π)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>34-66% OUR ESTIMATE</strong></td></tr></tbody></table>

<table><tbody><tr><td>50 ± 16</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>60 ± 28</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(N(1440)π)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>3-45% OUR ESTIMATE</strong></td></tr></tbody></table>

<table><tbody><tr><td>33 ± 12</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>6 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>47 ± 6</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>56 ± 7</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

<table><thead><tr><th>Γ(Δ(1232)η)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>5-13% OUR ESTIMATE</strong></td></tr><tr><td>9 ± 4</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1910) PHOTON DECAY AMPLITUDES AT THE POLE

Δ(1910) → Nγ, helicity-1/2 amplitude A₁/₂

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.446 ± 0.036</td><td>-70 ± 11</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.027 ± 0.009</td><td>-30 ± 60</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.321</td><td>39</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1910) BREIT-WIGNER PHOTON DECAY AMPLITUDES

Δ(1910) → Nγ, helicity-1/2 amplitude A₁/₂

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>0.010 to 0.030 (≈ 0.020) OUR ESTIMATE</strong></td></tr><tr><td>0.203 ± 0.056</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.026 ± 0.008</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-0.002 ± 0.008</td><td>1 ARNDT</td><td>96</td><td>IPWA γN → πN</td></tr><tr><td>0.026 ± 0.008</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>0.022 ± 0.009</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.030 ± 0.002</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

Δ(1910) REFERENCES

For early references, see Physics Letters **11B** 1 (1982).

<table><tbody><tr><td>ROENCHEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al.</td><td>(JULI, GWU, BONN+)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>ROENCHEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen et al.</td><td></td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Sokhoyan et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>GUTZ</td><td>14</td><td>EPJ A50 74</td><td>E. Gutz et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al.</td><td>(PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, UNI Tuzla)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPI)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>EPJ C06 055203</td><td>M. Shrestha, D.M. Manley</td><td>(KSU)</td></tr><tr><td>ARNDT</td><td>06</td><td>EPJ C74 045205</td><td>R.A. Arndt et al.</td><td>(GWU)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytman, T.-S.H. Lee</td><td>(PITT, ANL)</td></tr><tr><td>ARNDT</td><td>96</td><td>PR C53 430</td><td>R.A. Arndt, I.I. Strakovsky, R.L. Workman</td><td>(VPI)</td></tr><tr><td>HOEHLER</td><td>93</td><td>πN Newsletter 9 1</td><td>G. Hohler</td><td>(KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) UP</td></tr><tr><td>Also</td><td></td><td>PR D20 2839</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) UP</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hohler et al.</td><td>(KARLT) UP</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 3</td><td>R. Koch</td><td>(KARLT) UP</td></tr></tbody></table>

Δ(1920) 3/2⁺

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

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics **C38** 070001 (2014).

Δ(1920) 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>1850 to 1950 (≈ 1900) OUR ESTIMATE</strong></td></tr></tbody></table>

<table><tbody><tr><td>1883 ± 2</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>1875 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1906 ± 10 ± 2</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1900 ± 80</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>1910</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1715</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1875 ± 30</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1890 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1880</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1900</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

-2xIMAGINARY 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>200 to 400 (≈ 300) OUR ESTIMATE</strong></td></tr></tbody></table>

<table><tbody><tr><td>844 ± 5</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 40</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>310 ± 20 ± 11</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>300 ± 100</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>472</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>882</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 40</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 60</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>120</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

Δ(1920) ELASTIC POLE RESIDUE

MODULUS |r|

<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>15 to 35 (≈ 25) OUR ESTIMATE</strong></td></tr></tbody></table>

<table><tbody><tr><td>41 ± 3</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>16 ± 6</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>26 ± 3 ± 2</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>24 ± 4</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>38</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>16 ± 6</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>17 ± 8</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-150 to -50 (≈ -100) OUR ESTIMATE</strong></td></tr></tbody></table>

<table><tbody><tr><td>11 ± 4</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-50 ± 25</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-130 ± 5 ± 3</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>-150 ± 30</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>146</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-50 ± 25</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-40 ± 20</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

Δ(1920) INELASTIC POLE RESIDUE

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

Normalized residue in $Nπ → Δ(1920) → Δη$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.15 ± 0.04</td><td>70 ± 20</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>0.17 ± 0.08</td><td>70 ± 20</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1920) → ΣK$

<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 ± 0.01</td><td>104 ± 2</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.09 ± 0.03</td><td>80 ± 40</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tbody><tr><td>0.17</td><td>-35</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>
Normalized residue in $N\pi \rightarrow \Delta(1920) \rightarrow \Delta\pi, P$-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>0.057 ± 0.003</td><td>-48 ± 3</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.20 ± 0.08</td><td>-105 ± 25</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc.</td></tr><tr><td>0.069</td><td>131</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.20 ± 0.12</td><td>-120 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1920) \rightarrow \Delta\pi, F$-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>0.020 ± 0.002</td><td>147 ± 4</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.37 ± 0.10</td><td>-90 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc.</td></tr><tr><td>0.013</td><td>-115</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>0.28 ± 0.07</td><td>-95 ± 35</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1920) \rightarrow N(1535)\pi$

<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>35 ± 45</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1920) \rightarrow Na_0(980)$

<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>-85 ± 45</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1920) \rightarrow N(1440)\pi$

<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 ± 0.03</td><td>undefined</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $N\pi \rightarrow \Delta(1920) \rightarrow N(1520)\pi, S$-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>0.05 ± 0.05</td><td>undefined</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1920) BREIT-WIGNER 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>1870 to 1970 (≈ 1920) OUR ESTIMATE</strong></td></tr><tr><td>1976 ± 49</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1880 ± 30</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>2146 ± 32</td><td>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1920 ± 80</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>1868 ± 10</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1880 ± 30</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1900 ± 30</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>2057 ± 1</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>1889 ± 100</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

Δ(1920) BREIT-WIGNER 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>240 to 360 (≈ 300) OUR ESTIMATE</strong></td></tr><tr><td>509 ± 170</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 40</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>400 ± 80</td><td>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>300 ± 100</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>220 ± 80</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>300 ± 40</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>310 ± 60</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>525 ± 32</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>123 ± 53</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

Δ(1920) DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>5–20 %</td></tr><tr><td>Γ<sub>2</sub> ΣK</td><td>2–6 %</td></tr><tr><td>Γ<sub>3</sub> Nππ</td><td>>46 %</td></tr><tr><td>Γ<sub>4</sub> Δ(1232)π</td><td>>46 %</td></tr><tr><td>Γ<sub>5</sub> Δ(1232)π, P-wave</td><td>2–28 %</td></tr><tr><td>Γ<sub>6</sub> Δ(1232)π, F-wave</td><td>44–72 %</td></tr><tr><td>Γ<sub>7</sub> N(1440)π, P-wave</td><td>4–86 %</td></tr><tr><td>Γ<sub>8</sub> N(1520)π, S-wave</td><td><5 %</td></tr><tr><td>Γ<sub>9</sub> N(1535)π</td><td><2 %</td></tr><tr><td>Γ<sub>10</sub> Na<sub>0</sub>(980)</td><td>seen</td></tr><tr><td>Γ<sub>11</sub> Δ(1232)η</td><td>5–17 %</td></tr><tr><td>Γ<sub>12</sub> Nγ</td><td>0.01–0.84 %</td></tr><tr><td>Γ<sub>13</sub> Nγ, helicity=1/2</td><td>0.0–0.42 %</td></tr><tr><td>Γ<sub>14</sub> Nγ, helicity=3/2</td><td>0.01–0.42 %</td></tr></tbody></table>

Δ(1920) BRANCHING RATIOS

$\Gamma(N\pi)/\Gamma_{\text{total}}$

$\Gamma_1/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>5–20 % OUR ESTIMATE</strong></td></tr><tr><td>10.5 ± 3.0</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>8 ± 4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>20 ± 5</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>14 ± 4</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>8 ± 4</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>8 ± 4</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>16 ± 4</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>15 ± 1</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr><tr><td>5 ± 4</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

$\Gamma(\Sigma K)/\Gamma_{\text{total}}$

$\Gamma_2/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>2–6 % OUR ESTIMATE</strong></td></tr><tr><td>4 ± 2</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2.1 ± 0.3</td><td>PENNER</td><td>02C</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(\Delta(1232)\pi, P-wave)/\Gamma_{\text{total}}$

$\Gamma_5/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>2–28 % OUR ESTIMATE</strong></td></tr><tr><td>&lt; 1.6</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>18 ± 10</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>22 ± 12</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>7 ± 5</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>41 ± 3</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

$\Gamma(\Delta(1232)\pi, F-wave)/\Gamma_{\text{total}}$

$\Gamma_6/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>44–72 % OUR ESTIMATE</strong></td></tr><tr><td>58 ± 14</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>45 ± 20</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(N(1440)\pi, P-wave)/\Gamma_{\text{total}}$

$\Gamma_7/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>4–86 % OUR ESTIMATE</strong></td></tr><tr><td>77 ± 9</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>&lt; 4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;20</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>53 ± 8</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Statistical error only.

$\Gamma(N(1520)\pi, S-wave)/\Gamma_{\text{total}}$

$\Gamma_8/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>&lt;5 OUR ESTIMATE</strong></td></tr><tr><td>&lt;5</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(N(1535)\pi)/\Gamma_{\text{total}}$

$\Gamma_9/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>&lt;2 OUR ESTIMATE</strong></td></tr><tr><td>&lt;2</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(Na_0(980))/\Gamma_{\text{total}}$

$\Gamma_{10}/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>seen OUR ESTIMATE</strong></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>4 ± 2</td><td>HORN</td><td>08A</td><td>DPWA Multichannel</td></tr></tbody></table>

$\Gamma(\Delta(1232)\eta)/\Gamma_{\text{total}}$

$\Gamma_{11}/\Gamma$

<table><thead><tr><th>VALUE (%)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>5–17 % OUR ESTIMATE</strong></td></tr><tr><td>11 ± 6</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>15 ± 8</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1920) PHOTON DECAY AMPLITUDES AT THE POLE

$\Delta(1920) \rightarrow N\gamma, \text{helicity-1/2 amplitude } A_{1/2}$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.138 ± 0.006</td><td>-8.9 ± 2.0</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>0.110 ± 0.030</td><td>-50 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

-0.192 46 ROENCHEN 15A DPWA Multichannel
Δ(1920) → Nγ, helicity-3/2 amplitude A<sub>3/2</sub>

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.252 ± 0.007</td><td>14 ± 2</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-0.100 ± 0.040</td><td>0 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.522</td><td>67</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1920) BREIT-WIGNER PHOTON DECAY AMPLITUDES

Δ(1920) → Nγ, helicity-1/2 amplitude A<sub>1/2</sub>

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.028 ± 0.010</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.110 ± 0.030</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.110 ± 0.030</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>0.130<sup>+</sup> ± 0.030</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.051 ± 0.010</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-0.007</td><td>PENNER</td><td>02D</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

Δ(1920) → Nγ, helicity-3/2 amplitude A<sub>3/2</sub>

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.043 ± 0.014</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>-0.105 ± 0.035</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-0.105 ± 0.035</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-0.115<sup>+</sup> ± 0.025</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>0.017 ± 0.015</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-0.001</td><td>PENNER</td><td>02D</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

Δ(1920) REFERENCES

For early references, see Physics Letters **111B** 1 (1982).

<table><tbody><tr><td>ROENCHEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al.</td><td>(JULI, GWU, BONN+)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>ROENCHEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen et al.</td><td></td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Sokhoyan et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>GUTZ</td><td>14</td><td>EPJ A50 74</td><td>E. Gutz et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al.</td><td>(PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, UNI Tuzd)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPI)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Manley</td><td>(KSU)</td></tr><tr><td>HORN</td><td>08A</td><td>EPJ A38 173</td><td>I. Horn et al.</td><td>(CB-ELSA Collab.)</td></tr><tr><td>Also</td><td></td><td>PRL 101 202002</td><td>I. Horn et al.</td><td>(CB-ELSA Collab.)</td></tr><tr><td>PENNER</td><td>02C</td><td>PR C66 055211</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>PENNER</td><td>02D</td><td>PR C66 055212</td><td>G. Penner, U. Mosel</td><td>(GIES)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytm, T.-S.H. Lee</td><td>(PITT, ANL)</td></tr><tr><td>HOEHLER</td><td>93</td><td>πN Newsletter 9 1</td><td>G. Hohler</td><td>(KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>Also</td><td></td><td>PR D20 2839</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hohler et al.</td><td>(KARLT) IJP</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 3</td><td>R. Koch</td><td>(KARLT) IJP</td></tr></tbody></table>

$$ \Delta(1930) 5/2^{-} $$

$$ I(J^P) = \frac{3}{2}(\frac{5}{2})^{-} \quad \text{Status: ***} $$

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics **C38** 070001 (2014).

Δ(1930) 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>1820 to 1880 (≈ 1850) OUR ESTIMATE</strong></td></tr><tr><td>1821 ± 2</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>1848 ± 9 ± 19</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1890 ± 50</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1863</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1836</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>2001</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1883</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1850</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

-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>300 to 450 (≈ 320) OUR ESTIMATE</strong></td></tr><tr><td>447 ± 7</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>321 ± 17 ± 7</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>260 ± 60</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>260</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>724</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>387</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>250</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>180</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

Δ(1930) ELASTIC POLE RESIDUE

MODULUS |r|

<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>8 to 20 (≈ 14) OUR ESTIMATE</strong></td></tr><tr><td>15 ± 2</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>9 ± 1 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>18 ± 6</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>34</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>7</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>20</td><td>HOEHLER</td><td>93</td><td>SPED πN → πN</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>-100 to -10 (≈ -50) OUR ESTIMATE</strong></td></tr><tr><td>-108 ± 5</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-37 ± 3 ± 7</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>-20 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-155</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-12</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

Δ(1930) INELASTIC POLE RESIDUE

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

Normalized residue in $Nπ → Δ(1930) → ΣK$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.010 ± 0.001</strong></td><td><strong>49 ± 5</strong></td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.043</td><td>-0.5</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1930) → Δπ, D-wave$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.12 ± 0.02</strong></td><td><strong>64 ± 4</strong></td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.15</td><td>30</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Normalized residue in $Nπ → Δ(1930) → Δπ, G-wave$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.008 ± 0.001</strong></td><td><strong>148 ± 2</strong></td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.009</td><td>121</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1930) BREIT-WIGNER 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>1900 to 2000 (≈ 1950) OUR ESTIMATE</strong></td></tr><tr><td>1988 ± 32</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>2233 ± 53</td><td>1 ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1940 ± 30</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>1901 ± 15</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1930 ± 12</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1932 ± 100</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

Δ(1930) BREIT-WIGNER 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>200 to 400 (≈ 300) OUR ESTIMATE</strong></td></tr><tr><td>500 ± 160</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>773 ± 187</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>320 ± 60</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>195 ± 60</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>235 ± 39</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>316 ± 237</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.
### Δ(1930) DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>5–15 %</td></tr><tr><td>Γ<sub>2</sub> Nγ</td><td>0.0–0.01 %</td></tr><tr><td>Γ<sub>3</sub> Nγ, helicity=1/2</td><td>0.0–0.005 %</td></tr><tr><td>Γ<sub>4</sub> Nγ, helicity=3/2</td><td>0.0–0.004 %</td></tr></tbody></table>

### Δ(1930) BRANCHING RATIOS

<table><thead><tr><th>Γ(Nπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>5 to 15 (≈ 10) OUR ESTIMATE</strong></td></tr><tr><td>9.5±0.1</td><td><sup>1</sup>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>8.1±1.2</td><td><sup>1</sup>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>14 ± 4</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td>4 ± 3</td><td>HOEHLER</td><td>79</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>7.9±0.4</td><td><sup>1</sup>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>9 ± 8</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody></table>

### Δ(1930) PHOTON DECAY AMPLITUDES AT THE POLE

$$ \Delta(1930) \rightarrow N\gamma, \text{ helicity-1/2 amplitude } A_{1/2} $$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.104 ± 0.009</td><td>129 ± 8</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-0.270</td><td>33</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

$$ \Delta(1930) \rightarrow N\gamma, \text{ helicity-3/2 amplitude } A_{3/2} $$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.322 ± 0.022</td><td>142 ± 4</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.153</td><td>81</td><td>ROENCHEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

### Δ(1930) BREIT-WIGNER PHOTON DECAY AMPLITUDES

$$ \Delta(1930) \rightarrow N\gamma, \text{ helicity-1/2 amplitude } A_{1/2} $$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.043 ± 0.008</td><td><sup>1</sup>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>-0.007 ± 0.010</td><td><sup>1</sup>ARNDT</td><td>96</td><td>IPWA γN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.011 ± 0.003</td><td><sup>1</sup>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody></table>

$$ \Delta(1930) \rightarrow N\gamma, \text{ helicity-3/2 amplitude } A_{3/2} $$

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.020 ± 0.017</td><td><sup>1</sup>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.005 ± 0.010</td><td><sup>1</sup>ARNDT</td><td>96</td><td>IPWA γN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.002 ± 0.002</td><td><sup>1</sup>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody></table>

### Δ(1930) REFERENCES

For early references, see Physics Letters **11B** 1 (1982).

<table><tbody><tr><td>ROENCHEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al.</td><td>(JULI, GWU, BONN+)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>ROENCHEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen et al.</td><td></td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al.</td><td>(PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, UNI Tuzda)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Manley</td><td>(KSU)</td></tr><tr><td>ARNDT</td><td>06</td><td>PR C74 045205</td><td>R.A. Arndt et al.</td><td>(GWU)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytman, T.-S.H. Lee</td><td>(PITF, ANL)</td></tr><tr><td>ARNDT</td><td>96</td><td>PR C53 430</td><td>R.A. Arndt, I.I. Strákovsky, R.L. Workman</td><td>(VPI)</td></tr><tr><td>HOEHLER</td><td>93</td><td>πN Newsletter 9 1</td><td>G. Hohler</td><td>(KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>Also</td><td></td><td>PR D20 2839</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hohler et al.</td><td>(KARLT) IJP</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 3</td><td>R. Koch</td><td>(KARLT) IJP</td></tr></tbody></table>

$$ \Delta(1940) 3/2^{-} $$

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

OMITTED FROM SUMMARY TABLE

### Δ(1940) 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>1850 to 2050 (≈ 1950) OUR ESTIMATE</strong></td></tr><tr><td>2040 ± 50</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1878 ± 11 ± 5.5</td><td>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1900 ± 100</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>2139</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>2040 ± 50</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1990<sup>+100</sup><sub>-50</sub></td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

### −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>200 to 500 (≈ 350) OUR ESTIMATE</strong></td></tr><tr><td>450 ± 90</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>212 ± 21 ± 6</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>200 ± 60</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>400</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>450 ± 90</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>450 ± 90</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

### Δ(1940) ELASTIC POLE RESIDUE

#### MODULUS |r|

<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>4 to 10 (≈ 7) OUR ESTIMATE</strong></td></tr><tr><td>6 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>9 ± 1 ± 1</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>8 ± 3</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>4 ± 3</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>4 ± 4</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Fit to the amplitudes of HOEHLER 79.

#### PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>150 to 250 (≈ 200) OUR ESTIMATE</strong></td></tr><tr><td>- 90 ± 35</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>140 ± 7 ± 7</td><td><sup>1</sup>SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>135 ± 45</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tbody><tr><td>- 50 ± 35</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Fit to the amplitudes of HOEHLER 79.</td></tr></tbody></table>

### Δ(1940) INELASTIC POLE RESIDUE

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

#### Normalized residue in $Nπ \rightarrow \Delta(1940) \rightarrow \Delta(1232)η$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.01</td><td>undefined</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

#### Normalized residue in $Nπ \rightarrow \Delta(1940) \rightarrow N(1535)π$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.03</td><td>undefined</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr></tbody></table>

#### Normalized residue in $Nπ \rightarrow \Delta(1940) \rightarrow \Delta(1232)π, S-wave$

<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 ± 0.06</td><td>120 ± 45</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

#### Normalized residue in $Nπ \rightarrow \Delta(1940) \rightarrow \Delta(1232)π, D-wave$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.06 ± 0.04</td><td>-80 ± 35</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

### Δ(1940) BREIT-WIGNER 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>1940 to 2060 (≈ 2000) OUR ESTIMATE</strong></td></tr><tr><td>2137 ± 13</td><td><sup>1</sup>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>2050 ± 40</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1940 ± 100</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2050 ± 40</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1995<sup>+105</sup><sub>-60</sub></td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.

### Δ(1940) BREIT-WIGNER 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>300 to 500 (≈ 400) OUR ESTIMATE</strong></td></tr><tr><td>400 ± 43</td><td><sup>1</sup>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>450 ± 70</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>200 ± 100</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>450 ± 70</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>450 ± 100</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr></tbody></table>

¹Statistical error only.
Δ(1940) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>j</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>1–20 %</td></tr><tr><td>Γ<sub>2</sub> Nππ</td><td>>81 %</td></tr><tr><td>Γ<sub>3</sub> Δ(1232)π</td><td>6–85 %</td></tr><tr><td>Γ<sub>4</sub> Δ(1232)π, S-wave</td><td>1–65 %</td></tr><tr><td>Γ<sub>5</sub> Δ(1232)π, D-wave</td><td>5–20 %</td></tr><tr><td>Γ<sub>6</sub> Nρ, S=3/2, S-wave</td><td>75–85 %</td></tr><tr><td>Γ<sub>7</sub> N(1535)π</td><td>2–14 %</td></tr><tr><td>Γ<sub>8</sub> Nα<sub>0</sub>(980)</td><td>seen</td></tr><tr><td>Γ<sub>9</sub> Δ(1232)η</td><td>4–16 %</td></tr><tr><td>Γ<sub>10</sub> Nγ</td><td>0.06–2.53 %</td></tr><tr><td>Γ<sub>11</sub> Nγ, helicity=1/2</td><td>0.06–1.51 %</td></tr><tr><td>Γ<sub>12</sub> Nγ, helicity=3/2</td><td>0–1.02 %</td></tr></tbody></table>

Δ(1940) BRANCHING RATIOS

<table><thead><tr><th>Γ(Nπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1–20 % OUR ESTIMATE</strong></td><td></td><td></td><td></td></tr><tr><td>16 ± 4</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>2 ± 1</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>5 ± 2</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2 ± 1</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody><thead><tr><th>Γ(Δ(1232)π, S-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1–65 % OUR ESTIMATE</strong></td><td></td><td></td><td></td></tr><tr><td>&lt; 0.9</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>46 ± 20</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody><thead><tr><th>Γ(Δ(1232)π, D-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>5–20 % OUR ESTIMATE</strong></td><td></td><td></td><td></td></tr><tr><td>&lt; 6.3</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>12 ± 7</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody><thead><tr><th>Γ(Nρ, S=3/2, S-wave)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>75–85 % OUR ESTIMATE</strong></td><td></td><td></td><td></td></tr><tr><td>80 ± 5</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody><thead><tr><th>Γ(N(1535)π)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>2–14 % OUR ESTIMATE</strong></td><td></td><td></td><td></td></tr><tr><td>8 ± 6</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2 ± 1</td><td>HORN</td><td>08A</td><td>DPWA Multichannel</td></tr></tbody><thead><tr><th>Γ(Nα<sub>0</sub>(980))/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>seen OUR ESTIMATE</strong></td><td></td><td></td><td></td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2 ± 1</td><td>HORN</td><td>08A</td><td>DPWA Multichannel</td></tr></tbody><thead><tr><th>Γ(Δ(1232)η)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>4–16 % OUR ESTIMATE</strong></td><td></td><td></td><td></td></tr><tr><td>10 ± 6</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>4 ± 2</td><td>HORN</td><td>08A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1940) PHOTON DECAY AMPLITUDES AT THE POLE

<table><thead><tr><th>Δ(1940) → Nγ, helicity-1/2 amplitude A<sub>1/2</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.170<sup>+0.120</sup><sub>-0.100</sub></td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody><thead><tr><th>Δ(1940) → Nγ, helicity-3/2 amplitude A<sub>3/2</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.150 ± 0.080</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1940) BREIT-WIGNER PHOTON DECAY AMPLITUDES

<table><thead><tr><th>Δ(1940) → Nγ, helicity-1/2 amplitude A<sub>1/2</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.1614 ± 0.0031</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.170<sup>+0.110</sup><sub>-0.080</sub></td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.170<sup>+0.110</sup><sub>-0.080</sub></td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody><thead><tr><th>Δ(1940) → Nγ, helicity-3/2 amplitude A<sub>3/2</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.209 ± 0.023</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>0.150 ± 0.080</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.150 ± 0.080</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td colspan="4"><sup>1</sup>Statistical error only.</td></tr></tbody></table>

Δ(1940) REFERENCES

<table><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Shokhoyan et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>GUTZ</td><td>14</td><td>EPJ A50 74</td><td>E. Gutz et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, UNI Tuza)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPI)</td></tr><tr><td>HORN</td><td>08A</td><td>EPJ A38 173</td><td>I. Horn et al.</td><td>(CB-ELSA Collab.)</td></tr><tr><td>Also</td><td>80</td><td>PRL 101 202002</td><td>I. Horn et al.</td><td>(CB-ELSA Collab.)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>Toronto Conf. 19</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) JP</td></tr><tr><td>Also</td><td>79</td><td>PR D20 2839</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL)</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hohler et al.</td><td>(KARLT)</td></tr></table>

$$ \Delta(1950) 7/2^+ $$

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

Older and obsolete values are listed and referenced in the 2014 edition, Chinese Physics C38 070001 (2014).

Δ(1950) 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>1870 to 1890 (≈ 1880) OUR ESTIMATE</td><td></td><td></td><td></td></tr><tr><td>1875 ± 1</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>1888 ± 4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1877 ± 2 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1890 ± 15</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1871</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>1874</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>1888 ± 4</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>1890 ± 4</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>1876</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>1910</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1878</td><td>HOEHLER</td><td>93</td><td>ARGD πN → πN</td></tr></tbody></table>

<sup>1</sup>Fit to the amplitudes of HOEHLER 79.

-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>220 to 260 (≈ 240) OUR ESTIMATE</td><td></td><td></td><td></td></tr><tr><td>166 ± 2</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>245 ± 8</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>223 ± 4 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>260 ± 40</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>206</td><td>HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>239</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>245 ± 8</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>243 ± 8</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>227</td><td>ARNDT</td><td>06</td><td>DPWA πN → πN, ηN</td></tr><tr><td>230</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>230</td><td>HOEHLER</td><td>93</td><td>ARGD πN → πN</td></tr></tbody></table>

<sup>1</sup>Fit to the amplitudes of HOEHLER 79.

Δ(1950) ELASTIC POLE RESIDUE

<table><thead><tr><th>MODULUS |r|</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>44 to 60 (≈ 52) OUR ESTIMATE</td><td></td><td></td><td></td></tr><tr><td>27 ± 1</td><td>ROenchEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>58 ± 2</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>44 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>50 ± 7</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>
# Baryon Particle Listings

## Δ(1950)

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

<table><tr><td>56</td><td>ROenchEN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>58 ± 2</td><td>GUTZ</td><td>14</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>58 ± 2</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>53</td><td>ARNDT</td><td>06</td><td>DPWA</td><td>πN → πN, ηN</td></tr><tr><td>47</td><td>HOEHLER</td><td>93</td><td>ARGD</td><td>πN → πN</td></tr></table>

¹ Fit to the amplitudes of HOEHLER 79.

### PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">-40 to -24 (≈ -32) OUR ESTIMATE</td></tr><tr><td>1.1 ± 1.0</td><td>ROenchEN</td><td>22</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-24 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-39 ± 1 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P</td><td>πN → πN</td></tr><tr><td>-33 ± 8</td><td>CUTKOSKY</td><td>80</td><td>IPWA</td><td>πN → πN</td></tr><tr><td colspan="4">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-33</td><td>ROenchEN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-24 ± 3</td><td>GUTZ</td><td>14</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-24 ± 3</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-31</td><td>ARNDT</td><td>06</td><td>DPWA</td><td>πN → πN, ηN</td></tr><tr><td>-32</td><td>HOEHLER</td><td>93</td><td>ARGD</td><td>πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

## Δ(1950) INELASTIC POLE RESIDUE

The "normalized residue" is the residue divided by $\Gamma_{pole}/2$.

### Normalized residue in $N\pi \rightarrow \Delta(1950) \rightarrow \Sigma K$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.020 ± 0.002</td><td>-40 ± 4</td><td>ROenchEN</td><td>22</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>0.05 ± 0.01</td><td>-65 ± 25</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.031</td><td>-87</td><td>ROenchEN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

### Normalized residue in $N\pi \rightarrow \Delta(1950) \rightarrow \Delta\pi, F$-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>0.30 ± 0.27</td><td>166 ± 1</td><td>ROenchEN</td><td>22</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>0.12 ± 0.04</td><td>undefined</td><td>SOKHOYAN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.54</td><td>131</td><td>ROenchEN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>0.12 ± 0.04</td><td>12 ± 10</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

### Normalized residue in $N\pi \rightarrow \Delta(1950) \rightarrow \Delta\pi, H$-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>0.051 ± 0.004</td><td>-11 ± 1</td><td>ROenchEN</td><td>22</td><td>DPWA</td><td>Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>0.033</td><td>-97</td><td>ROenchEN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

### Normalized residue in $N\pi \rightarrow \Delta(1950) \rightarrow \Delta(1232)\eta$

<table><thead><tr><th>MODULUS</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.035 ± 0.005</td><td>90 ± 25</td><td>GUTZ</td><td>14</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

## Δ(1950) BREIT-WIGNER 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">1915 to 1950 (≈ 1930) OUR ESTIMATE</td></tr><tr><td>1943 ± 18</td><td>GOLOVATCH</td><td>19</td><td>DPWA</td><td>γp → π<sup>+</sup>π<sup>-</sup>p</td></tr><tr><td>1913 ± 4</td><td>1 HUNT</td><td>19</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>1917 ± 4</td><td>ANISOVICH</td><td>17</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>1921.3 ± 0.2</td><td>1 ARNDT</td><td>06</td><td>DPWA</td><td>πN → πN, ηN</td></tr><tr><td>1950 ± 15</td><td>CUTKOSKY</td><td>80</td><td>IPWA</td><td>πN → πN</td></tr><tr><td>1913 ± 8</td><td>HOEHLER</td><td>79</td><td>IPWA</td><td>πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1917 ± 4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>1917 ± 4</td><td>GUTZ</td><td>14</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>1915 ± 6</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>1918 ± 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>1936 ± 5</td><td>VRANA</td><td>00</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

¹ Statistical error only.

## Δ(1950) BREIT-WIGNER WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>235 to 335 (≈ 285) OUR ESTIMATE</td><td></td><td></td><td></td></tr><tr><td>230 ± 88</td><td>GOLOVATCH</td><td>19</td><td>DPWA</td><td>γp → π<sup>+</sup>π<sup>-</sup>p</td></tr><tr><td>241 ± 10</td><td>1 HUNT</td><td>19</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>251 ± 8</td><td>ANISOVICH</td><td>17</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>271.1 ± 1.1</td><td>1 ARNDT</td><td>06</td><td>DPWA</td><td>πN → πN, ηN</td></tr><tr><td>340 ± 50</td><td>CUTKOSKY</td><td>80</td><td>IPWA</td><td>πN → πN</td></tr><tr><td>224 ± 10</td><td>HOEHLER</td><td>79</td><td>IPWA</td><td>πN → πN</td></tr></tbody></table>

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

<table><tr><td>251 ± 8</td><td>SOKHOYAN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>251 ± 8</td><td>GUTZ</td><td>14</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>246 ± 10</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>259 ± 4</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>245 ± 12</td><td>VRANA</td><td>00</td><td>DPWA</td><td>Multichannel</td></tr></table>

¹ Statistical error only.

## Δ(1950) DECAY MODES

The following branching fractions are our estimates, not fits or averages.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>35-45 %</td></tr><tr><td>Γ<sub>2</sub> ΣK</td><td>0.3-0.5 %</td></tr><tr><td>Γ<sub>3</sub> Nππ</td><td>37-77 %</td></tr><tr><td>Γ<sub>4</sub> Δ(1232)π, F-wave</td><td>1-9 %</td></tr><tr><td>Γ<sub>5</sub> N(1680)π, P-wave</td><td>3-9 %</td></tr><tr><td>Γ<sub>6</sub> Δ(1232)η</td><td>&lt; 0.6 %</td></tr><tr><td>Γ<sub>7</sub> Nγ</td><td>0.06-0.14 %</td></tr><tr><td>Γ<sub>8</sub> Nγ, helicity=1/2</td><td>0.03-0.05 %</td></tr><tr><td>Γ<sub>9</sub> Nγ, helicity=3/2</td><td>0.04-0.09 %</td></tr></tbody></table>

## Δ(1950) BRANCHING RATIOS

<table><thead><tr><th>Γ(Nπ)/Γ<sub>total</sub></th><th>Γ<sub>1</sub>/Γ</th></tr></thead><tbody><tr><td colspan="2">35-45 % OUR ESTIMATE</td></tr><tr><td>38 ± 2</td><td>1 HUNT</td><td>19</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>46 ± 2</td><td>ANISOVICH</td><td>17</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>47.1 ± 0.1</td><td>1 ARNDT</td><td>06</td><td>DPWA</td><td>πN → πN, ηN</td></tr><tr><td>39 ± 4</td><td>CUTKOSKY</td><td>80</td><td>IPWA</td><td>πN → πN</td></tr><tr><td>38 ± 2</td><td>HOEHLER</td><td>79</td><td>IPWA</td><td>πN → πN</td></tr></tbody></table>

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

<table><tr><td>0.046 ± 0.002</td><td>SOKHOYAN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>46 ± 2</td><td>GUTZ</td><td>14</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>45 ± 2</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>45.6 ± 0.4</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>44 ± 1</td><td>VRANA</td><td>00</td><td>DPWA</td><td>Multichannel</td></tr></table>

¹ Statistical error only.

<table><thead><tr><th>Γ(Nππ)/Γ<sub>total</sub></th><th>Γ<sub>3</sub>/Γ</th></tr></thead><tbody><tr><td colspan="2">35-45 % OUR ESTIMATE</td></tr><tr><td>57 ± 20</td><td>GOLOVATCH</td><td>19</td><td>DPWA</td><td>γp → π<sup>+</sup>π<sup>-</sup>p</td></tr></tbody></table>

<table><thead><tr><th>Γ(ΣK)/Γ<sub>total</sub></th><th>Γ<sub>2</sub>/Γ</th></tr></thead><tbody><tr><td colspan="2">35-45 % OUR ESTIMATE</td></tr><tr><td>0.6 ± 0.2</td><td>ANISOVICH</td><td>17</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

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

<table><tr><td>0.4 ± 0.1</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr></table>

<table><thead><tr><th>Γ(Δ(1232)π, F-wave)/Γ<sub>total</sub></th><th>Γ<sub>4</sub>/Γ</th></tr></thead><tbody><tr><td>5 ± 3</td><td>ANISOVICH</td><td>17</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>8 ± 1</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

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

<table><tr><td>5 ± 4</td><td>SOKHOYAN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>2.8 ± 1.4</td><td>ANISOVICH</td><td>12A</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>36 ± 1</td><td>VRANA</td><td>00</td><td>DPWA</td><td>Multichannel</td></tr></table>

¹ Statistical error only.

<table><thead><tr><th>Γ(N(1680)π, P-wave)/Γ<sub>total</sub></th><th>Γ<sub>5</sub>/Γ</th></tr></thead><tbody><tr><td colspan="2">35-45 % OUR ESTIMATE</td></tr><tr><td>6 ± 3</td><td>SOKHOYAN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

<table><thead><tr><th>Γ(Δ(1232)η)/Γ<sub>total</sub></th><th>Γ<sub>6</sub>/Γ</th></tr></thead><tbody><tr><td colspan="2">35-45 % OUR ESTIMATE</td></tr><tr><td>0.3 ± 0.3</td><td>ANISOVICH</td><td>17</td><td>DPWA</td><td>Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;1</td><td>GUTZ</td><td>14</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

## Δ(1950) PHOTON DECAY AMPLITUDES AT THE POLE

### Δ(1950) → $N\gamma$, helicity-1/2 amplitude $A_{1/2}$

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.031 ± 0.002</td><td>-81 ± 4</td><td>ROenchEN</td><td>22</td><td>DPWA</td><td>Multichannel</td></tr><tr><td>-0.067 ± 0.004</td><td>-10 ± 5</td><td>SOKHOYAN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr></tbody></table>

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

<table><tr><td>-0.068</td><td>-19</td><td>ROenchEN</td><td>15A</td><td>DPWA</td><td>Multichannel</td></tr></table>
Δ(1950) → Nγ, helicity-3/2 amplitude A<sub>3/2</sub>

<table><thead><tr><th>MODULUS (GeV<sup>-1/2</sup>)</th><th>PHASE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>-0.045 ± 0.002</td><td>-89 ± 2</td><td>ROENCHEN</td><td>22</td><td>DPWA Multichannel</td></tr><tr><td>-0.095 ± 0.004</td><td>-10 ± 5</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-0.084</td><td>-19</td><td>ROenchEN</td><td>15A</td><td>DPWA Multichannel</td></tr></tbody></table>

Δ(1950) BREIT-WIGNER PHOTON DECAY AMPLITUDES

Δ(1950) → Nγ, helicity-1/2 amplitude A<sub>1/2</sub>

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">-0.075 to -0.065 (≈ -0.070) OUR ESTIMATE</td></tr><tr><td>-0.0698 ± 0.0141</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>-0.047 ± 0.002</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>-0.067 ± 0.005</td><td>ANISOVICH</td><td>17</td><td>DPWA Multichannel</td></tr><tr><td>-0.083 ± 0.004</td><td>WORKMAN</td><td>12A</td><td>DPWA γN → Nπ</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-0.067 ± 0.005</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-0.067 ± 0.005</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-0.071 ± 0.004</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-0.065 ± 0.001</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-0.094</td><td>DRECHSEL</td><td>07</td><td>DPWA γN → πN</td></tr></tbody></table>

¹ Statistical error only.

Δ(1950) → Nγ, helicity-3/2 amplitude A<sub>3/2</sub>

<table><thead><tr><th>VALUE (GeV<sup>-1/2</sup>)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">-0.100 to -0.080 (≈ -0.090) OUR ESTIMATE</td></tr><tr><td>-0.1181 ± 0.0193</td><td>GOLOVATCH</td><td>19</td><td>DPWA γp → π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>-0.074 ± 0.002</td><td>1 HUNT</td><td>19</td><td>DPWA Multichannel</td></tr><tr><td>-0.094 ± 0.004</td><td>ANISOVICH</td><td>17</td><td>DPWA Multichannel</td></tr><tr><td>-0.096 ± 0.004</td><td>WORKMAN</td><td>12A</td><td>DPWA γN → Nπ</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>-0.094 ± 0.004</td><td>SOKHOYAN</td><td>15A</td><td>DPWA Multichannel</td></tr><tr><td>-0.094 ± 0.004</td><td>GUTZ</td><td>14</td><td>DPWA Multichannel</td></tr><tr><td>-0.094 ± 0.005</td><td>ANISOVICH</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-0.083 ± 0.001</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>-0.121</td><td>DRECHSEL</td><td>07</td><td>DPWA γN → πN</td></tr></tbody></table>

¹ Statistical error only.

Δ(1950) REFERENCES

<table><tr><td>ROENCHEN</td><td>22</td><td>EPJ A58 229</td><td>D. Roenchen et al.</td><td>(JULI, GWU, BONN+)</td></tr><tr><td>GOLOVATCH</td><td>19</td><td>PL B788 371</td><td>E. Golovatch et al.</td><td>(CLAS Collab.)</td></tr><tr><td>HUNT</td><td>19</td><td>PR C99 055205</td><td>B.C. Hunt, D.M. Manley</td><td></td></tr><tr><td>ANISOVICH</td><td>17</td><td>PL B766 357</td><td>A.V. Anisovich et al.</td><td></td></tr><tr><td>ROENCHEN</td><td>15A</td><td>EPJ A51 70</td><td>D. Roenchen et al.</td><td></td></tr><tr><td>SOKHOYAN</td><td>15A</td><td>EPJ A51 95</td><td>V. Sokhoyan et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>GUTZ</td><td>14</td><td>EPJ A50 74</td><td>E. Gutz et al.</td><td>(CBELSA/TAPS Collab.)</td></tr><tr><td>PDG</td><td>14</td><td>CP C38 070001</td><td>K. Olive et al.</td><td>(PDG Collab.)</td></tr><tr><td>SVARC</td><td>14</td><td>PR C89 045205</td><td>A. Svarc et al.</td><td>(RBI Zagreb, UNI Tuzla)</td></tr><tr><td>ANISOVICH</td><td>12A</td><td>EPJ A48 15</td><td>A.V. Anisovich et al.</td><td>(BONN, PNPJ)</td></tr><tr><td>SHRESTHA</td><td>12A</td><td>PR C86 055203</td><td>M. Shrestha, D.M. Manley</td><td>(KSU)</td></tr><tr><td>WORKMAN</td><td>12A</td><td>PR C86 015202</td><td>R. Workman et al.</td><td>(GWU)</td></tr><tr><td>DRECHSEL</td><td>07</td><td>EPJ A34 69</td><td>D. Drechsel, S.S. Kamalov, L. Tiator</td><td>(MAINZ, JINR)</td></tr><tr><td>ARNDT</td><td>06</td><td>PR C74 045205</td><td>R.A. Arndt et al.</td><td>(GWU)</td></tr><tr><td>VRANA</td><td>00</td><td>PRPL 328 181</td><td>T.P. Vrana, S.A. Dytmat, T.-S.H. Lee</td><td>(PITT, ANL)</td></tr><tr><td>HOEHLER</td><td>93</td><td>Toronto Conf. 19</td><td>G. Hohler</td><td>(KARL)</td></tr><tr><td>CUTKOSKY</td><td>80</td><td>PR D20 2839</td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>Also</td><td></td><td></td><td>R.E. Cutkosky et al.</td><td>(CMU, LBL) IJP</td></tr><tr><td>HOEHLER</td><td>79</td><td>PDAT 12-1</td><td>G. Hohler et al.</td><td>(KARLT) IJP</td></tr><tr><td>Also</td><td></td><td>Toronto Conf. 3</td><td>R. Koch</td><td>(KARLT) IJP</td></tr></table>

Δ(2000) 5/2<sup>+</sup>

I(J<sup>P</sup>) = 3/2(5/2+) Status: **

OMITTED FROM SUMMARY TABLE

Δ(2000) 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>1998 ± 4 ± 4</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>1976</td><td>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>2150 ± 100</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1697</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

-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>404 ± 10 ± 4</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>350 ± 100</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>488</td><td>SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>112</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

Δ(2000) ELASTIC POLE RESIDUE

MODULUS |r|

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>34 ± 1 ± 1</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>16 ± 5</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

PHASE θ

<table><thead><tr><th>VALUE (°)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>110 ± 1 ± 3</td><td>1 SVARC</td><td>14</td><td>L+P πN → πN</td></tr><tr><td>150 ± 90</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr></tbody></table>

¹ Fit to the amplitudes of HOEHLER 79.

Δ(2000) BREIT-WIGNER MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2015 ± 24</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>2200 ± 125</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1724 ± 61</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>1752 ± 32</td><td>MANLEY</td><td>92</td><td>IPWA πN → πN &amp; Nππ</td></tr><tr><td colspan="5">¹ Statistical error only.</td></tr></tbody></table>

Δ(2000) BREIT-WIGNER WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>500 ± 52</td><td>1 SHRESTHA</td><td>12A</td><td>DPWA Multichannel</td></tr><tr><td>400 ± 125</td><td>CUTKOSKY</td><td>80</td><td>IPWA πN → πN</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>138 ± 68</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>251 ± 93</td><td>MANLEY</td><td>92</td><td>IPWA πN → πN &amp; Nππ</td></tr></tbody></table>

¹ Statistical error only.

Δ(2000) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>j</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Nπ</td><td>3-11 %</td></tr><tr><td>Γ<sub>2</sub> Nππ</td><td>>87 %</td></tr><tr><td>Γ<sub>3</sub> Δ(1232)π</td><td>&lt;9 %</td></tr><tr><td>Γ<sub>4</sub> Δ(1232)π, P-wave</td><td>&lt;6 %</td></tr><tr><td>Γ<sub>5</sub> Δ(1232)π, F-wave</td><td>&lt;3 %</td></tr><tr><td>Γ<sub>6</sub> Np, S=3/2, P-wave</td><td>seen</td></tr><tr><td>Γ<sub>7</sub> Nγ</td><td></td></tr><tr><td>Γ<sub>8</sub> Nγ, helicity=1/2</td><td>seen</td></tr><tr><td>Γ<sub>9</sub> Nγ, helicity=3/2</td><td>seen</td></tr></tbody></table>

Δ(2000) BRANCHING RATIOS

<table><thead><tr><th>Γ(Nπ)/Γ<sub>total</sub></th><th>Γ<sub>1</sub>/Γ</th></tr></thead><tbody><tr><td>7 ± 1</td><td>1 SHRESTHA 12A</td><td>DPWA Multichannel</td></tr><tr><td>7 ± 4</td><td>CUTKOSKY 80</td><td>IPWA πN → πN</td></tr></tbody></table>

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

<table><tr><td>0 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr><tr><td>2 ± 1</td><td>MANLEY</td><td>92</td><td>IPWA πN → πN &amp; Nππ</td></tr></table>

¹ Statistical error only.

<table><thead><tr><th>Γ(Δ(1232)π, P-wave)/Γ<sub>total</sub></th><th>Γ<sub>4</sub>/Γ</th></tr></thead><tbody><tr><td>3 ± 3</td><td>1 SHRESTHA 12A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tr><td>0 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></table>

¹ Statistical error only.

<table><thead><tr><th>Γ(Δ(1232)π, F-wave)/Γ<sub>total</sub></th><th>Γ<sub>5</sub>/Γ</th></tr></thead><tbody><tr><td>&lt; 3</td><td>1 SHRESTHA 12A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tr><td>40 ± 1</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></table>

<table><thead><tr><th>Γ(Np, S=3/2, P-wave)/Γ<sub>total</sub></th><th>Γ<sub>6</sub>/Γ</th></tr></thead><tbody><tr><td>90 ± 3</td><td>1 SHRESTHA 12A</td><td>DPWA Multichannel</td></tr></tbody></table>

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

<table><tr><td>60 ± 60</td><td>VRANA</td><td>00</td><td>DPWA Multichannel</td></tr></table>

¹ Statistical error only.