⁵ From a non-parametric analysis.

⁶ A Breit-Wigner mass and width.

⁷ S-matrix pole. Reanalysis of ASTON 88, AITALA 02, and ABLIKIM 06c including the $\kappa$ with an $s$-dependent width and an Adler zero near threshold.

⁸ S-matrix pole. Using ASTON 88 and assuming $K_0^*(700)$, $K_0^*(1950)$.

⁹ Using ASTON 88 and assuming $K_0^*(700)$.

¹⁰ T-matrix pole. Reanalysis of ASTON 88 data.

¹¹ Breit-Wigner fit. Using ASTON 88.

¹² Assuming a low-mass scalar $K\pi$ resonance, $K(700)$.

¹³ T-matrix pole. Using data from ESTABROOKS 78 and ASTON 88.

¹⁴ $J^P$ not determined, could be $K_2^*(1430)$.

¹⁵ T-matrix pole.

¹⁶ From elastic $K\pi$ partial-wave analysis.

## $K_0^*(1430)$ 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> Kπ</td><td>(93 ± 10)%</td></tr><tr><td>Γ<sub>2</sub> Kη</td><td>(8.6 ± 2.7)%</td></tr><tr><td>Γ<sub>3</sub> Kη'(958)</td><td>seen</td></tr></tbody></table>

## $K_0^*(1430)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(Kπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.93 ± 0.04 ± 0.09</td><td>ASTON</td><td>88</td><td>LASS</td><td>11 K<sup>+</sup> p → K<sup>+</sup>π<sup>+</sup> n</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kη)/Γ(Kπ)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>9.2 ± 2.5 <sup>+1.0</sup><sub>-2.5</sub></td><td>5.4k</td><td>1 LEES</td><td>14E</td><td>BABR η<sub>C</sub>(15) → K<sup>+</sup> K<sup>-</sup>η/π<sup>0</sup></td></tr></tbody></table>

¹ Using both $η \rightarrow γγ$ and $η \rightarrow π^+π^-π^0$. From a Dalitz analysis in the presence of several interfering scalar-meson resonances.

<table><thead><tr><th>Γ(Kη'(958))/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>ABLIKIM</td><td>14J</td><td>BES3 ψ(2S) → γK<sup>+</sup> K<sup>-</sup>η'(958)</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kη'(958))/Γ(Kπ)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.397 ± 0.064 ± 0.054</td><td>1 LEES</td><td>21A</td><td>BABR η<sub>C</sub>(15) → ηK<sup>+</sup> K<sup>-</sup></td></tr></tbody></table>

¹ Using $K\pi$ data from LEES 14E.

## $K_0^*(1430)$ REFERENCES

<table><tr><td>AAJ</td><td>23AH PR D108 032010</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>LEES</td><td>21A PR D104 072002</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>PELAEZ</td><td>17 EPJ C77 91</td><td>J.R. Pelaez, A.Rodas, J.R. de Eivira</td><td></td></tr><tr><td>ABLIKIM</td><td>14J PR D89 074030</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>LEES</td><td>14E PR D89 112004</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>BUGGG</td><td>10 PR D81 014002</td><td>D.V. Bugg</td><td>(LOQM)</td></tr><tr><td>LINK</td><td>09 PL B681 14</td><td>J.M. Link et al.</td><td>(FNAL FOCUS Collab.)</td></tr><tr><td>BONVICINI</td><td>08A PR D78 052001</td><td>G. Bonvicini et al.</td><td>(CLEO Collab.)</td></tr><tr><td>LINK</td><td>07 PL B648 156</td><td>J.M. Link et al.</td><td>(FNAL FOCUS Collab.)</td></tr><tr><td>LINK</td><td>07B PL B653 1</td><td>J.M. Link et al.</td><td>(FNAL FOCUS Collab.)</td></tr><tr><td>ABLIKIM</td><td>06C PL B633 681</td><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>AITALA</td><td>06 PR D73 032004</td><td>E.M. Aitala et al.</td><td>(FNAL E791 Collab.)</td></tr><tr><td>Atso</td><td>06 PR D74 059901 (errat.)</td><td>E.M. Aitala et al.</td><td>(FNAL E791 Collab.)</td></tr><tr><td>BUGG</td><td>06 PL B632 471</td><td>D.V. Bugg</td><td>(LOQM)</td></tr><tr><td>ZHOU</td><td>06 NP A775 212</td><td>Z.Y. Zhou, H.Q. Zheng</td><td></td></tr><tr><td>ABLIKIM</td><td>05Q PR D72 092002</td><td>M. Ablikim et al.</td><td></td></tr><tr><td>ZHENG</td><td>04 NP A733 235</td><td>H.Q. Zheng et al.</td><td></td></tr><tr><td>BUGG</td><td>03 PL B572 1</td><td>D.V. Bugg</td><td></td></tr><tr><td>LI</td><td>03 PL D67 034025</td><td>L. Li, B. Zou, G. Li</td><td></td></tr><tr><td>AITALA</td><td>02 PL R9 121801</td><td>E.M. Aitala et al.</td><td>(FNAL E791 Collab.)</td></tr><tr><td>JAMIN</td><td>00 NP B587 331</td><td>M. Jamin et al.</td><td></td></tr><tr><td>BARBERIS</td><td>98E PL B436 204</td><td>D. Barberis et al.</td><td>(Omega Expt.)</td></tr><tr><td>ANISOVICH</td><td>97C PL B413 137</td><td>A.V. Anisovich, A.V. Sarantsev</td><td></td></tr><tr><td>TORNQVIST</td><td>96 PL R76 1575</td><td>N.A. Tornqvist, M. Roos</td><td>(HELS)</td></tr><tr><td>ASTON</td><td>88 NP B296 493</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>BAUBILLIER</td><td>84B ZPHY C26 37</td><td>M. Baubillier et al.</td><td>(BIRM, CERN, GLAS+)</td></tr><tr><td>ESTABROOKS</td><td>78 NP B133 490</td><td>P.G. Estabrooks et al.</td><td>(MCGI, CARL, DURH+)</td></tr><tr><td>MARTIN</td><td>78 NP B134 392</td><td>A.D. Martin et al.</td><td>(DURH, GEVA)</td></tr></table>

## $K_2^*(1430)$

$$I(J^P) = \frac{1}{2}(2^+)$$

We consider that phase-shift analyses provide more reliable determinations of the mass and width.

## $K_2^*(1430)$ T-MATRIX POLE $\sqrt{s}$

Note that $\Gamma = -2 \, \mathrm{Im}(\sqrt{s})$.

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">(1424 ± 4)–i (66 ± 2) OUR ESTIMATE</td></tr><tr><td>(1424 ± 4)–i (66 ± 2)</td><td>1 PELAEZ</td><td>17 RVUE</td><td>πK → πK</td></tr><tr><td colspan="4">¹ Reanalysis of ESTABROOKS 78 and ASTON 88 satisfying Forward Dispersion Relations and using sequences of Pade approximants.</td></tr></tbody></table>

## $K_2^*(1430)$ MASS

### CHARGED ONLY, WITH FINAL STATE $K\pi$

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>1427.3 ± 1.5</td><td>OUR AVERAGE</td><td></td><td></td><td>1.3</td><td>See the ideogram below.</td></tr><tr><td>1432.7 ± 0.7</td><td>± 2.2</td><td>183k</td><td>ABLIKIM</td><td>19AQ BES</td><td>± J/ψ → K<sup>+</sup> K<sup>-</sup>π<sup>0</sup></td></tr><tr><td>1420 ± 4</td><td></td><td>1587</td><td>BAUBILLIER</td><td>84B HBC</td><td>8.25 K<sup>-</sup> p → K<sup>0</sup>π<sup>-</sup> p</td></tr><tr><td>1436 ± 5.5</td><td>400</td><td>1,2 CLELAND</td><td>82 SPEC</td><td>+</td><td>30 K<sup>+</sup> p → K<sup>0</sup>π<sup>+</sup> p</td></tr><tr><td>1430 ± 3.2</td><td>1500</td><td>1,2 CLELAND</td><td>82 SPEC</td><td>+</td><td>50 K<sup>+</sup> p → K<sup>0</sup>π<sup>+</sup> p</td></tr><tr><td>1430 ± 3.2</td><td>1200</td><td>1,2 CLELAND</td><td>82 SPEC</td><td>-</td><td>50 K<sup>+</sup> p → K<sup>0</sup>π<sup>-</sup> p</td></tr><tr><td>1423 ± 5</td><td>935</td><td>TOAFF</td><td>81 HBC</td><td>-</td><td>6.5 K<sup>-</sup> p → K<sup>0</sup>π<sup>-</sup> p</td></tr><tr><td>1428.0 ± 4.6</td><td></td><td>3 MARTIN</td><td>78 SPEC</td><td>+</td><td>10 K<sup>+</sup> p → K<sup>0</sup>π<sup>+</sup> p</td></tr><tr><td>1423.8 ± 4.6</td><td></td><td>3 MARTIN</td><td>78 SPEC</td><td>-</td><td>10 K<sup>+</sup> p → K<sup>0</sup>π<sup>-</sup> p</td></tr><tr><td>1420.0 ± 3.1</td><td>1400</td><td>AGUILAR...</td><td>71B HBC</td><td>-</td><td>3.9,4.6 K<sup>-</sup> p</td></tr><tr><td>1425 ± 8.0</td><td>225</td><td>1,2 BARNHAM</td><td>71C HBC</td><td>+</td><td>K<sup>+</sup> p → K<sup>0</sup>π<sup>+</sup> p</td></tr><tr><td>1416 ± 10</td><td>220</td><td>CRENNELL</td><td>69D DBC</td><td>-</td><td>3.9 K<sup>-</sup> N → K<sup>0</sup>π<sup>-</sup> N</td></tr><tr><td>1414 ± 13.0</td><td>60</td><td>1 LIND</td><td>69 HBC</td><td>+</td><td>9 K<sup>+</sup> p → K<sup>0</sup>π<sup>+</sup> p</td></tr><tr><td>1427 ± 12</td><td>63</td><td>1 SCHWEING...</td><td>68 HBC</td><td>-</td><td>5.5 K<sup>-</sup> p → K<sup>0</sup>π<sup>-</sup> N</td></tr><tr><td>1423 ± 11.0</td><td>39</td><td>1 BASSANO</td><td>67 HBC</td><td>-</td><td>4.6-5.0 K<sup>-</sup> p → K<sup>0</sup>π<sup>-</sup> p</td></tr></tbody></table>

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

<table><tr><td>1428 ± 2</td><td>4300</td><td>4 ABLIKIM</td><td>22L BES3</td><td>2.0-3.08 e<sup>+</sup><sub>0</sub> → K<sup>+</sup> K<sup>-</sup>π<sup>0</sup></td></tr><tr><td>1423.4 ± 2 ± 3</td><td>24809 ± 820</td><td>5 BIRD</td><td>89 LASS</td><td>11 K<sup>-</sup> p → K<sup>0</sup>π<sup>-</sup> p</td></tr></table>

¹ Errors enlarged by us to $\Gamma/\sqrt{n}$; see the note with the $K^*(892)$ mass.

² Number of events in peak re-evaluated by us.

³ Systematic error added by us.

⁴ From a partial wave amplitude analysis at $\sqrt{\pi} = 2.125$ GeV which includes all the possible intermediate states that match $J^{PC}$ conservation in the subsequent two-body decay. The intermediate states are parameterized with the relativistic Breit-Wigner functions. Statistical error only.

⁵ From a partial wave amplitude analysis.

### WEIGHTED AVERAGE
1427.3±1.5 (Error scaled by 1.3)

<figure><img src="image_526.png" /></figure>

(Confidence Level = 0.055)

## $K_2^*(1430)$ mass, combined neutral and charged (MeV)

### NEUTRAL ONLY

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1432.4 ± 1.3</td><td>OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>1431.2 ± 1.8</td><td>± 0.7</td><td>1 ASTON</td><td>88 LASS</td><td>11 K<sup>-</sup> p → K<sup>-</sup>π<sup>+</sup> n</td></tr><tr><td>1434 ± 4</td><td>± 6</td><td>1 ASTON</td><td>87 LASS</td><td>11 K<sup>-</sup> p → K<sup>0</sup>π<sup>+</sup>π<sup>-</sup> n</td></tr><tr><td>1433 ± 6</td><td>± 10</td><td>1 ASTON</td><td>84b LASS</td><td>11 K<sup>-</sup> p → K<sup>0</sup>π<sup>2</sup> n</td></tr><tr><td>1471 ± 12</td><td></td><td>1 BAUBILLIER</td><td>82b HBC</td><td>8.25 K<sup>-</sup> p → N K<sup>0</sup><sub>S</sub>ππ</td></tr><tr><td>1428 ± 3</td><td></td><td>1 ASTON</td><td>81C LASS</td><td>11 K<sup>-</sup> p → K<sup>-</sup>π<sup>+</sup> n</td></tr><tr><td>1434 ± 2</td><td></td><td>1 ESTABROOKS</td><td>78 ASPK</td><td>13 K<sup>±</sup> p → pKπ</td></tr><tr><td>1440 ± 10</td><td></td><td>1 BOWLER</td><td>77 DBC</td><td>5.5 K<sup>+</sup> d → Kπρρ</td></tr></tbody></table>

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

<table><tr><td>1428.5 ± 3.9</td><td>1786 ± 127</td><td>2 AUBERT</td><td>07AK BABR</td><td>10.6 e<sup>+</sup><sub>0</sub> e<sup>-</sup><sub>0</sub> → K<sup>0</sup>K<sup>+</sup>π<sup>+</sup>γ</td></tr><tr><td>1420 ± 7</td><td>300</td><td>HENDRICK</td><td>76 DBC</td><td>8.25 K<sup>+</sup> N → K<sup>+</sup>πN</td></tr><tr><td>1421.6 ± 4.2</td><td>800</td><td>MCCUBBIN</td><td>75 HBC</td><td>3.6 K<sup>-</sup> p → K<sup>-</sup>π<sup>+</sup> n</td></tr><tr><td>1420.1 ± 4.3</td><td></td><td>3 LINGLIN</td><td>73 HBC</td><td>2-13 K<sup>+</sup> p → K<sup>+</sup>π<sup>-</sup> X</td></tr><tr><td>1419.1 ± 3.7</td><td>1800</td><td>AGUILAR...</td><td>71B HBC</td><td>3.9,4.6 K<sup>-</sup> p</td></tr><tr><td>1416 ± 6</td><td>600</td><td>CORDS</td><td>71 DBC</td><td>9 K<sup>+</sup> n → K<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>1421.1 ± 2.6</td><td>2200</td><td>DAVIS</td><td>69 HBC</td><td>12 K<sup>+</sup> p → K<sup>+</sup>π<sup>-</sup> X</td></tr></table>

¹ From phase shift or partial-wave analysis.

² Systematic errors not estimated.

³ From pole extrapolation, using world $K^+p$ data summary tape.
# Meson Particle Listings

## K₂*(1430)

### K₂*(1430) WIDTH

#### CHARGED ONLY, WITH FINAL STATE Kπ

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>100.0± 2.2 OUR FIT</strong> Error includes scale factor of 1.1.</td></tr><tr><td colspan="6"><strong>100.0± 2.2 OUR AVERAGE</strong> Error includes scale factor of 1.1.</td></tr><tr><td>102.5± 1.6<sup>+3.1</sup><sub>-2.8</sub></td><td>183k</td><td>ABLIKIM</td><td>19AQ BES</td><td>±</td><td>J/ψ → K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td></tr><tr><td>109 ±22</td><td>400</td><td>1,2 CLELAND</td><td>82 SPEC</td><td>+</td><td>30 K<sup>+</sup> p → K<sup>0</sup> S π<sup>+</sup> p</td></tr><tr><td>124 ±12.8</td><td>1500</td><td>1,2 CLELAND</td><td>82 SPEC</td><td>+</td><td>50 K<sup>+</sup> p → K<sup>0</sup> S π<sup>+</sup> p</td></tr><tr><td>113 ±12.8</td><td>1200</td><td>1,2 CLELAND</td><td>82 SPEC</td><td>-</td><td>50 K<sup>+</sup> p → K<sup>0</sup> S π<sup>-</sup> p</td></tr><tr><td>85 ±16</td><td>935</td><td>TOAFF</td><td>81 HBC</td><td>-</td><td>6.5 K<sup>-</sup> p → K<sup>0</sup> π<sup>-</sup> p</td></tr><tr><td>96.5± 3.8</td><td></td><td>MARTIN</td><td>78 SPEC</td><td>+</td><td>10 K<sup>±</sup> p → K<sup>0</sup> S π<sup>+</sup> p</td></tr><tr><td>97.7± 4.0</td><td></td><td>MARTIN</td><td>78 SPEC</td><td>-</td><td>10 K<sup>±</sup> p → K<sup>0</sup> S π<sup>-</sup> p</td></tr><tr><td>94.7<sup>+15.1</sup><sub>-12.5</sub></td><td>1400</td><td>AGUILAR-...</td><td>71B HBC</td><td>-</td><td>3.9,4.6 K<sup>-</sup> p</td></tr></tbody></table>

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

<table><tbody><tr><td>107 ± 4</td><td>4300</td><td><sup>3</sup> ABLIKIM</td><td>22L BES3</td><td>2.0-3.08 e<sup>+</sup> e<sup>-</sup> → K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td></tr><tr><td>98 ± 4 ±4</td><td>25k</td><td><sup>4</sup> BIRD</td><td>89 LASS</td><td>11 K<sup>-</sup> p → K<sup>0</sup> π<sup>-</sup> p</td></tr></tbody></table>

¹Errors enlarged by us to $4\Gamma/\sqrt{N}$; see the note with the K*(892) mass.

²Number of events in peak re-evaluated by us.

³From a partial wave amplitude analysis at $\sqrt{s} = 2.125$ GeV which includes all the possible intermediate states that match $J^{PC}$ conservation in the subsequent two-body decay. The intermediate states are parameterized with the relativistic Breit-Wigner functions. Statistical error only.

⁴From a partial wave amplitude analysis.

#### NEUTRAL ONLY

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>109 ± 5 OUR AVERAGE</strong> Error includes scale factor of 1.9. See the ideogram below.</td></tr><tr><td>116.5± 3.6± 1.7</td><td></td><td><sup>1</sup> ASTON</td><td>88 LASS</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>129 ±15 ±15</td><td></td><td><sup>1</sup> ASTON</td><td>87 LASS</td><td>11 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td></tr><tr><td>131 ±24 ±20</td><td></td><td><sup>1</sup> ASTON</td><td>84B LASS</td><td>11 K<sup>-</sup> p → K<sup>0</sup> 2πn</td></tr><tr><td>143 ±34</td><td></td><td><sup>1</sup> BAUBILLIER</td><td>82B HBC</td><td>8.25 K<sup>-</sup> p → N K<sup>0</sup> ππ</td></tr><tr><td>98 ± 8</td><td></td><td><sup>1</sup> ASTON</td><td>81C LASS</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>140 ±30</td><td></td><td><sup>1</sup> ETKIN</td><td>80 SPEC</td><td>6 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td></tr><tr><td>98 ± 5</td><td></td><td><sup>1</sup> ESTABROOKS</td><td>78 ASPK</td><td>13 K<sup>±</sup> p → pKπ</td></tr></tbody></table>

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

<table><tbody><tr><td>113.7± 9.2</td><td>1786± 127</td><td><sup>2</sup> AUBERT</td><td>07AK BABR</td><td>10.6 e<sup>+</sup> e<sup>-</sup> → K<sup>*0</sup> K<sup>±</sup> π<sup>+</sup> γ</td></tr><tr><td>125 ±29</td><td>300</td><td><sup>3</sup> HENDRICK</td><td>76 DBC</td><td>8.25 K<sup>+</sup> N → K<sup>+</sup> πN</td></tr><tr><td>116 ±18</td><td>800</td><td><sup>4</sup> LINGLIN</td><td>75 HBC</td><td>3.6 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>61 ±14</td><td></td><td></td><td>73 HBC</td><td>2-13 K<sup>+</sup> p → K<sup>+</sup> π<sup>-</sup> X</td></tr><tr><td>116.6<sup>+10.3</sup><sub>-15.5</sub></td><td>1800</td><td>AGUILAR-...</td><td>71B HBC</td><td>3.9,4.6 K<sup>-</sup> p</td></tr><tr><td>144 ±24.0</td><td>600</td><td><sup>3</sup> CORDS</td><td>71 DBC</td><td>9 K<sup>+</sup> n → K<sup>+</sup> π<sup>-</sup> p</td></tr><tr><td>101 ±10</td><td>2200</td><td>DAVIS</td><td>69 HBC</td><td>12 K<sup>+</sup> p → K<sup>+</sup> π<sup>-</sup> π<sup>+</sup> p</td></tr></tbody></table>

¹From phase shift or partial-wave analysis.

²Systematic errors not estimated.

³Errors enlarged by us to $4\Gamma/\sqrt{N}$; see the note with the K*(892) mass.

⁴From pole extrapolation, using world K<sup>+</sup> p data summary tape.

WEIGHTED AVERAGE
109±5 (Error scaled by 1.9)

<figure><img src="image_527.png" /></figure>

### K₂*(1430) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor/<br>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Kπ</td><td>(49.9±1.2) %</td><td></td></tr><tr><td>Γ<sub>2</sub> K*(892)π</td><td>(24.7±1.5) %</td><td></td></tr><tr><td>Γ<sub>3</sub> K*(892)ππ</td><td>(13.4±2.2) %</td><td></td></tr><tr><td>Γ<sub>4</sub> Kρ</td><td>(8.7±0.8) %</td><td>S=1.2</td></tr></tbody></table>

<table><tbody><tr><td>Γ<sub>5</sub> Kω</td><td>(2.9±0.8) %</td><td></td></tr><tr><td>Γ<sub>6</sub> K<sup>+</sup>γ</td><td>(2.4±0.5) × 10<sup>-3</sup></td><td>S=1.1</td></tr><tr><td>Γ<sub>7</sub> Kη</td><td>(1.5<sup>+3.4</sup><sub>-1.0</sub> × 10<sup>-3</sup>)</td><td>S=1.3</td></tr><tr><td>Γ<sub>8</sub> Kωπ</td><td>&lt; 7.2 × 10<sup>-4</sup></td><td>CL=95%</td></tr><tr><td>Γ<sub>9</sub> K<sup>0</sup>γ</td><td>&lt; 9 × 10<sup>-4</sup></td><td>CL=90%</td></tr></tbody></table>

#### CONSTRAINED FIT INFORMATION

An overall fit to the total width, a partial width, and 10 branching ratios uses 32 measurements and one constraint to determine 8 parameters. The overall fit has a $\chi^2 = 21.1$ for 25 degrees of freedom.

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

<figure><img src="image_528.png" /></figure>

<table><thead><tr><th>Mode</th><th>Rate (MeV)</th><th>Scale factor</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Kπ</td><td>49.9 ±1.6</td><td></td></tr><tr><td>Γ<sub>2</sub> K*(892)π</td><td>24.7 ±1.6</td><td></td></tr><tr><td>Γ<sub>3</sub> K*(892)ππ</td><td>13.5 ±2.3</td><td></td></tr><tr><td>Γ<sub>4</sub> Kρ</td><td>8.7 ±0.8</td><td>1.2</td></tr><tr><td>Γ<sub>5</sub> Kω</td><td>2.9 ±0.8</td><td></td></tr><tr><td>Γ<sub>6</sub> K<sup>+</sup>γ</td><td>0.24 ±0.05</td><td>1.1</td></tr><tr><td>Γ<sub>7</sub> Kη</td><td>0.15<sup>+0.34</sup><sub>-0.10</sub></td><td>1.3</td></tr></tbody></table>

### K₂*(1430) PARTIAL WIDTHS

<table><thead><tr><th>Γ(K<sup>+</sup>γ)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>240±50 OUR FIT</strong></td><td>CIHANGIR</td><td>82 SPEC</td><td>+</td><td>200 K<sup>+</sup> Z → Z K<sup>+</sup> π<sup>0</sup>,<br>Z K<sup>0</sup> S π<sup>+</sup></td></tr><tr><td><strong>240±45</strong></td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><thead><tr><th>Γ(K<sup>0</sup>γ)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>&lt; 5.4</strong></td><td>ALAVI-HARATI02B</td><td>KTEV</td><td>K + A → K<sup>+</sup> + A</td><td></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>&lt;84</td><td>90 CARLSMITH</td><td>87 SPEC</td><td>0</td><td>60-200 K<sup>0</sup> A →<br>K<sup>0</sup> S π<sup>0</sup> A</td></tr></tbody></table>

### K₂*(1430) BRANCHING RATIOS

<table><thead><tr><th>Γ(Kπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.499±0.012 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>0.488±0.014 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.485±0.006±0.020</td><td><sup>1</sup> ASTON</td><td>88 LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>0.49 ±0.02</td><td><sup>1</sup> ESTABROOKS</td><td>78 ASPK</td><td>±</td><td>13 K<sup>±</sup> p → pKπ</td></tr></tbody></table>

¹From phase shift analysis.

<table><thead><tr><th>Γ(K*(892)π)/Γ(Kπ)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.496±0.034 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>0.47 ±0.04 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.44 ±0.09</td><td>ASTON</td><td>84B LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>0</sup> 2πn</td></tr><tr><td>0.62 ±0.19</td><td>LAUSCHER</td><td>75 HBC</td><td>0</td><td>10,16 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>0.54 ±0.16</td><td>DEHM</td><td>74 DBC</td><td>0</td><td>4.6 K<sup>+</sup> N</td></tr><tr><td>0.47 ±0.08</td><td>AGUILAR-...</td><td>71B HBC</td><td>0</td><td>3.9,4.6 K<sup>-</sup> p</td></tr><tr><td>0.47 ±0.10</td><td>BASSANO</td><td>67 HBC</td><td>-0</td><td>4.6,5.0 K<sup>-</sup> p</td></tr><tr><td>0.45 ±0.13</td><td>BADIER</td><td>65C HBC</td><td>-</td><td>3 K<sup>-</sup> p</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kω)/Γ(Kπ)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.059±0.017 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>0.070±0.035 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.05 ±0.04</td><td>AGUILAR-...</td><td>71B HBC</td><td>0</td><td>3.9,4.6 K<sup>-</sup> p</td></tr><tr><td>0.13 ±0.07</td><td>BASSOMPIE...</td><td>69 HBC</td><td>0</td><td>5 K<sup>+</sup> p</td></tr></tbody></table>
$$ \Gamma(K\rho)/\Gamma(K\pi) \qquad \Gamma_4/\Gamma_1 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.174 ±0.017</td><td>OUR FIT</td><td></td><td></td><td>Error includes scale factor of 1.2.</td></tr></tbody></table>

### 0.150<sup>+0.029</sup><sub>-0.017</sub> OUR AVERAGE

<table><tbody><tr><td>0.18 ±0.05</td><td>ASTON</td><td>84B</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → R<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td></tr><tr><td>0.02 <sup>+0.10</sup><sub>-0.02</sub></td><td>DEHM</td><td>74</td><td>DBC</td><td>0</td><td>4.6 K<sup>+</sup> N</td></tr><tr><td>0.16 ±0.05</td><td>AGUILAR...</td><td>71B</td><td>HBC</td><td>-</td><td>3.9,4.6 K<sup>-</sup> p</td></tr><tr><td>0.14 ±0.10</td><td>BASSANO</td><td>67</td><td>HBC</td><td>-</td><td>4.6,5.0 K<sup>-</sup> p</td></tr><tr><td>0.14 ±0.07</td><td>BADIER</td><td>65C</td><td>HBC</td><td>-</td><td>3 K<sup>-</sup> p</td></tr></tbody></table>

$$ \Gamma(K\rho)/\Gamma(K^*(892)\pi) \qquad \Gamma_4/\Gamma_2 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.350 ±0.031</td><td>OUR FIT</td><td></td><td></td><td>Error includes scale factor of 1.4.</td></tr></tbody></table>

### 0.354 ±0.033 OUR AVERAGE

<table><tbody><tr><td>0.293 ±0.032 ±0.020</td><td>ASTON</td><td>87</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → R<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td></tr><tr><td>0.38 ±0.09</td><td>BAUBILLIER</td><td>82B</td><td>HBC</td><td>0</td><td>8.25 K<sup>-</sup> p → N K<sup>0</sup> ππ</td></tr><tr><td>0.39 ±0.03</td><td>DAUM</td><td>81C</td><td>CNTR</td><td>0</td><td>63 K<sup>-</sup> p → K<sup>-</sup> 2π p</td></tr></tbody></table>

### WEIGHTED AVERAGE
0.354 ±0.033 (Error scaled by 1.4)

<figure><img src="image_529.png" /></figure>

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

(Confidence Level = 0.126)

$$ \Gamma(K\omega)/\Gamma(K^*(892)\pi) \qquad \Gamma_5/\Gamma_2 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.118 ±0.034</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>0.10 ±0.04</td><td>FIELD</td><td>67</td><td>HBC</td><td>-</td></tr></tbody></table>

$$ \Gamma(K\eta)/\Gamma(K^*(892)\pi) \qquad \Gamma_7/\Gamma_2 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.006 <sup>+0.014</sup><sub>-0.004</sub></td><td>OUR FIT</td><td></td><td></td><td>Error includes scale factor of 1.2.</td></tr><tr><td>0.07 ±0.04</td><td>FIELD</td><td>67</td><td>HBC</td><td>-</td></tr></tbody></table>

$$ \Gamma(K\eta)/\Gamma(K\pi) \qquad \Gamma_7/\Gamma_1 $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0030 <sup>+0.0070</sup><sub>-0.0020</sub></td><td>OUR FIT</td><td></td><td></td><td></td><td>Error includes scale factor of 1.3.</td></tr><tr><td>0 ±0.0056</td><td></td><td>1 ASTON</td><td>88B</td><td>LASS</td><td>11 K<sup>-</sup> p → K<sup>-</sup> ηp</td></tr></tbody></table>

### 0 ±0.0056 We do not use the following data for averages, fits, limits, etc.

<table><tbody><tr><td>&lt;0.04</td><td>95</td><td>AGUILAR...</td><td>71B</td><td>HBC</td><td>3.9,4.6 K<sup>-</sup> p</td></tr><tr><td>&lt;0.065</td><td></td><td>2 BASSOMPIE...</td><td>69</td><td>HBC</td><td>5.0 K<sup>+</sup> p</td></tr><tr><td>&lt;0.02</td><td></td><td>BISHOP</td><td>69</td><td>HBC</td><td>3.5 K<sup>+</sup> p</td></tr></tbody></table>

¹ASTON 88B quote < 0.0092 at CL=95%. We convert this to a central value and 1 sigma error in order to be able to use it in our constrained fit.

²Restated by us.

$$ \Gamma(K^*(892)\pi\pi)/\Gamma_{\text{total}} \qquad \Gamma_3/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.134 ±0.022</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>0.12 ±0.04</td><td>1 GOLDBERG</td><td>76</td><td>HBC</td><td>-</td></tr></tbody></table>

¹Assuming $\pi\pi$ system has isospin 1, which is supported by the data.

$$ \Gamma(K^*(892)\pi\pi)/\Gamma(K\pi) \qquad \Gamma_3/\Gamma_1 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.27 ±0.05</td><td>OUR FIT</td><td></td><td></td><td></td></tr><tr><td>0.21 ±0.08</td><td>1,2 JONGEJANS</td><td>78</td><td>HBC</td><td>-</td></tr></tbody></table>

¹Restated by us.

²Assuming $\pi\pi$ system has isospin 1, which is supported by the data.

$$ \Gamma(K\omega\pi)/\Gamma_{\text{total}} \qquad \Gamma_8/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.72</td><td>95</td><td>0</td><td>JONGEJANS</td><td>78</td><td>HBC 4 K<sup>-</sup> p → p K<sup>0</sup> 4π</td></tr></tbody></table>

### $K_2^*(1430)$ REFERENCES

<table><tbody><tr><td>ABLIKIM</td><td>22L</td><td>JHEP 2207 045</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>19AQ</td><td>PR D100 032004</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>PELAEZ</td><td>17</td><td>EPI C77 91</td><td>J.R. Pelaez, A.Rodas, J.R. de Elvira</td><td></td></tr><tr><td>AUBERT</td><td>07AK</td><td>PR D76 012008</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ALAVI-HARATI</td><td>02B</td><td>PR 89 072001</td><td>A. Alavi-Harati et al.</td><td>(FNAL KTeV Collab.)</td></tr><tr><td>BIRD</td><td>89</td><td>SLAC-332</td><td>P.F. Bird</td><td>(SLAC)</td></tr><tr><td>ASTON</td><td>88</td><td>NP B296 493</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>ASTON</td><td>88B</td><td>PL B201 169</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>ASTON</td><td>87</td><td>NP B292 693</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>CARLSMITH</td><td>87</td><td>PR D36 3502</td><td>D. Carlsmith et al.</td><td>(EFI, SACL)</td></tr><tr><td>ASTON</td><td>84B</td><td>NP B247 261</td><td>D. Aston et al.</td><td>(SLAC, CARL, OTTA)</td></tr><tr><td>BAUBILLIER</td><td>84B</td><td>ZPHY C26 37</td><td>M. Baubillier et al.</td><td>(BIRM, CERN, GLAS+)</td></tr><tr><td>BAUBILLIER</td><td>82B</td><td>NP B202 21</td><td>M. Baubillier et al.</td><td>(BIRM, CERN, GLAS+)</td></tr><tr><td>CIHANGIR</td><td>82</td><td>PL 117B 123</td><td>S. Chiangir et al.</td><td>(FNAL, MINN, ROCH)</td></tr><tr><td>CLELAND</td><td>82</td><td>NP B208 189</td><td>W.E. Cleland et al.</td><td>(DURH, GEVA, LAUS+)</td></tr><tr><td>ASTON</td><td>81C</td><td>PL 106B 235</td><td>D. Aston et al.</td><td>(SLAC, CARL, OTTA) JP</td></tr><tr><td>DAUM</td><td>81C</td><td>NP B187 1</td><td>C. Daum et al.</td><td>(AMST, CERN, CCRIM, PMIM+)</td></tr><tr><td>TOAFF</td><td>81</td><td>PR D23 1500</td><td>S. Toaff et al.</td><td>(ANL, KANS)</td></tr><tr><td>ETAK</td><td>80</td><td>PR D22 42</td><td>A. Etkin et al.</td><td>(BNL, CUNY) JP</td></tr><tr><td>ESTABROOKS</td><td>78</td><td>NP 133 490</td><td>P.G. Estabrooks et al.</td><td>(MCGI, CARL, DURH+)</td></tr><tr><td>Also</td><td></td><td>PR D17 658</td><td>P.G. Estabrooks et al.</td><td>(MCGI, CARL, DURH+)</td></tr><tr><td>JONGEJANS</td><td>78</td><td>NP 139 383</td><td>B. Jongejanis et al.</td><td>(ZEEM, CERN, NJUM+)</td></tr><tr><td>MARTIN</td><td>78</td><td>NP B134 392</td><td>A.D. Martin et al.</td><td>(DURH, GEVA)</td></tr><tr><td>BOWLER</td><td>77</td><td>NP B126 31</td><td>M.G. Bowler et al.</td><td>(OXF)</td></tr><tr><td>GOLDBERG</td><td>76</td><td>LNC 17 253</td><td>J. Goldberg</td><td>(HAIF)</td></tr><tr><td>HENDRICK</td><td>76</td><td>NP B112 189</td><td>K. Hendrickx et al.</td><td>(MONS, SACL, PARIS+)</td></tr><tr><td>LAUSCHER</td><td>75</td><td>NP B86 189</td><td>P. Lauscher et al.</td><td>(ABCLV Collab.) JP</td></tr><tr><td>MCCUBBIN</td><td>75</td><td>NP B86 13</td><td>N.A. McCubbin, L. Lyons</td><td>(OXF)</td></tr><tr><td>DEHM</td><td>74</td><td>NP B75 47</td><td>G. Dehm et al.</td><td>(MPIM, BRUX, MONS, CERN)</td></tr><tr><td>LINGLIN</td><td>73</td><td>NP B55 408</td><td>D. Linglin</td><td>(CERN)</td></tr><tr><td>AGUILAR...</td><td>71B</td><td>PR D4 2583</td><td>M. Aguilar-Benitez, R.L. Eisner, J.B. Kinson</td><td>(BNL)</td></tr><tr><td>BARNHAM</td><td>71C</td><td>NP B28 171</td><td>K.W.J. Barnham et al.</td><td>(BIRM, GLAS)</td></tr><tr><td>CORDS</td><td>71</td><td>PR D4 1974</td><td>D. Cordes et al.</td><td>(PURD, UCD, IUPU)</td></tr><tr><td>BASSOMPIE...</td><td>69</td><td>NP B13 189</td><td>G. Bassompierre et al.</td><td>(CERN, BRUX) JP</td></tr><tr><td>BISHOP</td><td>69</td><td>NP B9 403</td><td>J.M. Bishop et al.</td><td>(WISC)</td></tr><tr><td>CRENNELL</td><td>69D</td><td>PRL 22 487</td><td>D.J. Crennell et al.</td><td>(BNL)</td></tr><tr><td>DAVIS</td><td>69</td><td>PRL 23 1071</td><td>P.J. Davis et al.</td><td>(LRL)</td></tr><tr><td>LIND</td><td>69</td><td>NP B14 1</td><td>V.G. Lind et al.</td><td>(LRL) JP</td></tr><tr><td>SCHWEING...</td><td>68</td><td>PR 166 1317</td><td>F. Schweingruber et al.</td><td>(ANL, NWES)</td></tr><tr><td>Also</td><td></td><td>Thesis</td><td>F.L. Schweingruber et al.</td><td>(NWES, NWES)</td></tr><tr><td>BASSANO</td><td>67</td><td>PRL 19 968</td><td>D. Bassano et al.</td><td>(BNL, SYRA)</td></tr><tr><td>FIELD</td><td>67</td><td>PL 24B 638</td><td>J.H. Field et al.</td><td>(UCSD)</td></tr><tr><td>BADIER</td><td>65C</td><td>PL 19 612</td><td>J. Badier et al.</td><td>(EPOL, SACL, AMST)</td></tr></tbody></table>

$$ \Gamma(K(1460)) $$

$$ I(J^P) = \frac{1}{2}(0^{-}) $$

Observed in $K\pi\pi$ partial-wave analysis.

### $K(1460)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>1482.40 ±3.58 ±15.22</td><td>894k</td><td>AAIJ</td><td>18AI</td><td>LHCB</td><td>D<sup>0</sup> → K<sup>∓</sup> 2π<sup>±</sup> π<sup>∓</sup></td></tr><tr><td>~ 1460</td><td>63</td><td>DAUM</td><td>81C</td><td>CNTR</td><td>K<sup>-</sup> p → K<sup>-</sup> 2πp</td></tr><tr><td>~ 1400</td><td>13</td><td>1 BRANDENB... 76B</td><td>ASPK</td><td>±</td><td>K<sup>±</sup> p → K<sup>+</sup> 2πp</td></tr></tbody></table>

¹Coupled mainly to $Kf_0(1370)$. Decay into $K^*(892)\pi$ seen.

### $K(1460)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>335.60 ±6.20 ±8.65</td><td>894k</td><td>AAIJ</td><td>18AI</td><td>LHCB</td><td>D<sup>0</sup> → K<sup>∓</sup> 2π<sup>±</sup> π<sup>∓</sup></td></tr><tr><td>~ 260</td><td>63</td><td>DAUM</td><td>81C</td><td>CNTR</td><td>K<sup>-</sup> p → K<sup>-</sup> 2πp</td></tr><tr><td>~ 250</td><td>15</td><td>1 BRANDENB... 76B</td><td>ASPK</td><td>±</td><td>K<sup>±</sup> p → K<sup>+</sup> 2πp</td></tr></tbody></table>

¹Coupled mainly to $Kf_0(1370)$. Decay into $K^*(892)\pi$ seen.

### $K(1460)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> K<sup>*</sup>(892)π</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> K<sub>ρ</sub></td><td>seen</td></tr><tr><td>Γ<sub>3</sub> K<sup>*</sup><sub>0</sub>(1430)π</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> K<sub>φ</sub></td><td>seen</td></tr></tbody></table>

### $K(1460)$ PARTIAL WIDTHS

$$ \Gamma(K^*(892)\pi) \qquad \Gamma_1 $$

### 0 ±0.0056 We do not use the following data for averages, fits, limits, etc.

$$ \Gamma(K\rho) \qquad \Gamma_2 $$

### 0 ±0.0056 We do not use the following data for averages, fits, limits, etc.

$$ \Gamma(K_0^*(1430)\pi) \qquad \Gamma_3 $$

### 0 ±117 We do not use the following data for averages, fits, limits, etc.
$\Gamma(K\phi)/\Gamma_{\text{total}} \qquad \Gamma_4/\Gamma$

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>seen</td><td>24k</td></tr></tbody></table>

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1 AAIJ</td><td>21E</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr></tbody></table>

¹ From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 12 σ.

### K(1460) REFERENCES

AAIJ 21E PRL 127 082001

R. Aaij et al. (LHCb Collab.)

AAIJ 18AI EPJ C78 443

R. Aaij et al. (LHCb Collab.)

DAUM 81C NP B187 1

C. Daum et al. (AMST, CERN, CRAC, MPIM+)

BRANDENB... 76B PRL 36 1239

G.W. Brandenburg et al. (SLAC) JP

### K₂(1580)

$$I(J^P) = \frac{1}{2}(2^-)$$

### OMITTED FROM SUMMARY TABLE

Seen in partial-wave analysis of the $K^-\pi^+\pi^-$ system. Needs confirmation.

### K₂(1580) MASS

**VALUE (MeV)** **DOCUMENT ID** **CHG** **COMMENT**

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

~~~1580 OTTER 79 — 10,14,16 K⁻p

### K₂(1580) WIDTH

**VALUE (MeV)** **DOCUMENT ID** **CHG** **COMMENT**

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

~~~110 OTTER 79 — 10,14,16 K⁻p

### K₂(1580) 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> K*(892)π</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> K<sub>2</sub><sup>*</sup>(1430)π</td><td>possibly seen</td></tr></tbody></table>

### K₂(1580) BRANCHING RATIOS

$\Gamma(K^*(892)\pi)/\Gamma_{\text{total}} \qquad \Gamma_1/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>OTTER</td><td>79</td><td>HBC</td><td>10,14,16 K<sup>-</sup>p</td></tr></tbody></table>

• • • We do not use the following data for averages, fits, limits, etc. • • •
possibly seen GULER 11 BELL B<sup>+</sup> → J/ψK<sup>+</sup>π<sup>-</sup>

$\Gamma(K_2^*(1430)\pi)/\Gamma_{\text{total}} \qquad \Gamma_2/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>possibly seen</td><td>OTTER</td><td>79</td><td>HBC</td><td>10,14,16 K<sup>-</sup>p</td></tr></tbody></table>

### K₂(1580) REFERENCES

GULER 11 PR D83 032005

H. Guler et al. (BELLE Collab.)

OTTER 79 NP B147 1

G. Otter et al. (AACH3, BERL, CERN, LOIC+) JP

### K(1630)

$$I(J^P) = \frac{1}{2}(?^?)$$

### OMITTED FROM SUMMARY TABLE

Seen as a narrow peak, compatible with the experimental resolution, in the invariant mass of the $K_S^0\pi^+\pi^-$ system produced in $\pi^-p$ interactions at high momentum transfers.

### K(1630) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1629±7</td><td>~ 75</td><td>KARNAUKHOV98</td><td>BC</td><td>16.0 π<sup>-</sup>p → (K<sub>S</sub><sup>0</sup>π<sup>+</sup>π<sup>-</sup>)<br>X<sup>+</sup>π<sup>-</sup> X<sup>0</sup></td></tr></tbody></table>

### K(1630) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>16+19/16</td><td>~ 75</td><td>1 KARNAUKHOV98</td><td>BC</td><td>16.0 π<sup>-</sup>p → (K<sub>S</sub><sup>0</sup>π<sup>+</sup>π<sup>-</sup>)<br>X<sup>+</sup>π<sup>-</sup> X<sup>0</sup></td></tr></tbody></table>

¹ Compatible with an experimental resolution of 14 ± 1 MeV.

### K(1630) DECAY MODES

Mode

Γ₁ K_S^0π^+π^-

### K(1630) REFERENCES

KARNAUKHOV 98

PAN 61 203 V.M. Karnaukhov, C. Coca, V.I. Moroz
Translated from YAF 61 252.

### K₁(1650)

$$I(J^P) = \frac{1}{2}(1^+)$$

This entry contains various peaks in strange meson systems ($K^+\phi$, $K\pi\pi$) reported in partial-wave analysis in the 1600–1900 mass region.

### K₁(1650) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>1650±50</td><td></td><td>FRAME</td><td>86</td><td>OMEG +</td><td>13 K<sup>+</sup>p → φK<sup>+</sup>p</td></tr></tbody></table>

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

<table><tbody><tr><td>1861±10<sup>-</sup><sub>46</sub></td><td>24k</td><td>1 AAIJ</td><td>21E</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>1911±37<sup>+124</sup><sub>-48</sub></td><td>24k</td><td>1 AAIJ</td><td>21E</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>1793±59<sup>+153</sup><sub>-101</sub></td><td>4289</td><td>2,3 AAIJ</td><td>17C</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>~ 1840</td><td></td><td>ARMSTRONG</td><td>83</td><td>OMEG —</td><td>18.5 K<sup>-</sup>p → 3Kp</td></tr><tr><td>~ 1800</td><td></td><td>DAUM</td><td>81C</td><td>CNTR —</td><td>63 K<sup>-</sup>p → K<sup>-</sup>2πp</td></tr></tbody></table>

¹ One of two $K_1$ states reported by AAIJ 21E. From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 4.5 σ.

² From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 7.6 σ.

³ Superseded by AAIJ 21E.

### K₁(1650) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>150±50</td><td></td><td>FRAME</td><td>86</td><td>OMEG +</td><td>13 K<sup>+</sup>p → φK<sup>+</sup>p</td></tr></tbody></table>

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

<table><tbody><tr><td>149±41<sup>+231</sup><sub>-23</sub></td><td>24k</td><td>1 AAIJ</td><td>21E</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>276±50<sup>+319</sup><sub>-159</sub></td><td>24k</td><td>1 AAIJ</td><td>21E</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>365±157<sup>+138</sup><sub>-215</sub></td><td>4289</td><td>2,3 AAIJ</td><td>17C</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>~ 250</td><td></td><td>DAUM</td><td>81C</td><td>CNTR —</td><td>63 K<sup>-</sup>p → K<sup>-</sup>2πp</td></tr></tbody></table>

¹ One of two $K_1$ states reported by AAIJ 21E. From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 4.5 σ.

² From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 7.6 σ.

³ Superseded by AAIJ 21E.

### K₁(1650) DECAY MODES

<table><thead><tr><th>Mode</th></tr></thead><tbody><tr><td>Γ₁ Kππ</td></tr><tr><td>Γ₂ Kφ</td></tr></tbody></table>

### K₁(1650) REFERENCES

AAIJ 21E PRL 127 082001

R. Aaij et al. (LHCb Collab.)

AAIJ 17C PRL 118 022003

R. Aaij et al. (LHCb Collab.)

Also PR D95 012002

R. Aaij et al. (LHCb Collab.)

FRAME 86 NP B276 667

D. Frame et al. (GLAS)

ARMSTRONG 83 NP B221 1

T.A. Armstrong et al. (BARI, BIRM, CERN+)

DAUM 81C NP B187 1

C. Daum et al. (AMST, CERN, CRAC, MPIM+)

### K*(1680)

$$I(J^P) = \frac{1}{2}(1^-)$$

### K*(1680) MASS

**VALUE (MeV)** **EVTS** **DOCUMENT ID** **TECN** **CHG** **COMMENT**

1710±18 OUR AVERAGE

1722±20<sup>+33</sup><sub>-109</sub> 4289 1 AAIJ 17C LHCB B<sup>+</sup> → J/ψK<sup>+</sup>

1677±10±32 ASTON 88 LASS 0 11 K<sup>-</sup>p → K<sup>-</sup>π<sup>+</sup>n

1735±10±20 ASTON 87 LASS 0 11 K<sup>-</sup>p → K<sup>-</sup>π<sup>+</sup>π<sup>-</sup>n

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

1678±64 BIRD 89 LASS — 11 K<sup>-</sup>p → K<sup>-</sup>0π<sup>-</sup>p

1800±70 ETKIN 80 MPS 0 6 K<sup>-</sup>p → K<sup>-</sup>0π<sup>-</sup>π<sup>-</sup>n



¹ From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 8.5 σ.
K*(1680) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>320 ± 110 OUR AVERAGE</strong></td></tr><tr><td colspan="6">Error includes scale factor of 4.2.</td></tr><tr><td>354 ± 75<sup>+140</sup><sub>-181</sub></td><td>4289</td><td>2 AAIJ</td><td>17C</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>205 ± 16 ± 34</td><td></td><td>ASTON</td><td>88</td><td>LASS</td><td>11 K<sup>-</sup>p →<br>K<sup>-</sup>π<sup>+</sup>n</td></tr><tr><td>423 ± 18 ± 30</td><td></td><td>ASTON</td><td>87</td><td>LASS</td><td>11 K<sup>-</sup>p →<br>K<sup>0</sup>π<sup>+</sup>π<sup>-</sup>n</td></tr><tr><td colspan="6">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>454 ± 270</td><td></td><td>BIRD</td><td>89</td><td>LASS</td><td>11 K<sup>-</sup>p → K<sup>0</sup>π<sup>-</sup>p</td></tr><tr><td>170 ± 30</td><td></td><td>ETKIN</td><td>80</td><td>MPS</td><td>6 K<sup>-</sup>p →<br>K<sup>0</sup>π<sup>+</sup>π<sup>-</sup>n</td></tr><tr><td>250 to 300</td><td></td><td>ESTABROOKS</td><td>78</td><td>ASPK</td><td>13 K<sup>±</sup>p →<br>K<sup>±</sup>π<sup>±</sup>n</td></tr></tbody></table>

²From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 8.5 $\sigma$.

K*(1680) 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> Kπ</td><td>(38.7 ± 2.5) %</td></tr><tr><td>Γ<sub>2</sub> Kρ</td><td>(31.4<sup>+5.0</sup><sub>-2.1</sub>) %</td></tr><tr><td>Γ<sub>3</sub> K*(892)π</td><td>(29.9<sup>+2.2</sup><sub>-5.0</sub>) %</td></tr><tr><td>Γ<sub>4</sub> Kφ</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> Kη</td><td>(1.4<sup>+1.0</sup><sub>-0.8</sub>) %</td></tr></tbody></table>

CONSTRAINED FIT INFORMATION

An overall fit to 4 branching ratios uses 4 measurements and one constraint to determine 3 parameters. The overall fit has a $\chi^2 = 2.9$ for 2 degrees of freedom.

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

<figure><img src="image_530.png" /></figure>

K*(1680) BRANCHING RATIOS

<table><thead><tr><th>Γ(Kπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.387 ± 0.026 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>0.388 ± 0.014 ± 0.022</td><td>ASTON</td><td>88</td><td>LASS</td><td>11 K<sup>-</sup>p → K<sup>-</sup>π<sup>+</sup>n</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kπ)/Γ(K*(892)π)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.30<sup>+0.23</sup><sub>-0.14</sub> OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>2.8 ± 1.1</td><td>ASTON</td><td>84</td><td>LASS</td><td>11 K<sup>-</sup>p → K<sup>0</sup>2πn</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kρ)/Γ(Kπ)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.81<sup>+0.14</sup><sub>-0.09</sub> OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>1.2 ± 0.4</td><td>ASTON</td><td>84</td><td>LASS</td><td>11 K<sup>-</sup>p → K<sup>0</sup>2πn</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kρ)/Γ(K*(892)π)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.05<sup>+0.27</sup><sub>-0.11</sub> OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>0.97 ± 0.09<sup>+0.30</sup><sub>-0.10</sub></td><td>ASTON</td><td>87</td><td>LASS</td><td>11 K<sup>-</sup>p → K<sup>0</sup>π<sup>+</sup>π<sup>-</sup>n</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kφ)/Γ<sub>total</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>24k</td><td>3 AAIJ</td><td>21E</td><td>LHCB B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr></tbody></table>

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

seen 4289 4,5 AAIJ 17C LHCB B<sup>+</sup> → J/ψφK<sup>+</sup>

³From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 4.7 $\sigma$.

⁴From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 8.5 $\sigma$.

⁵Superseded by AAIJ 21E.

<table><thead><tr><th>Γ(Kη)/Γ(Kπ)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.037 ± 0.007<sup>+0.024</sup><sub>-0.018</sub></td><td>116k</td><td>6 CHEN</td><td>20A</td><td>D<sup>0</sup> → K<sup>-</sup>π<sup>+</sup>η</td></tr></tbody></table>

⁶CHEN 20A quotes the ratio $\Gamma(K*(1680)^-) \to K^-\eta)/\Gamma(K*(1680)^-) \to K^-\pi^0) = 0.11 \pm 0.02<sup>+0.06</sup><sub>-0.04</sub> \pm 0.04(BPDG)$ where the last uncertainty comes from $B(\eta \to \gamma\gamma) = (39.41 \pm 0.20)\%$. We divide it by 3 taking into account that $\Gamma(K*(1680)^-) \to K^-\pi^0)/\Gamma(K*(1680)^-) \to (K\pi)^- = 1/3$.

<table><thead><tr><th>Γ(Kη)/Γ<sub>total</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.44 ± 0.21<sup>+0.96</sup><sub>-0.73</sub></td><td>116k</td><td>7 CHEN</td><td>20A</td><td>D<sup>0</sup> → K<sup>-</sup>π<sup>+</sup>η</td></tr></tbody></table>

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

⁷From an amplitude analysis of the decay $D^0 \to K^-\pi^+\eta$ with a significance of 16 $\sigma$. Not independent of the CHEN 20A measurement of $\Gamma(K*(1680) \to K\eta)/\Gamma(K*(1680) \to K\pi)$.

K*(1680) REFERENCES

<table><tr><td>AAIJ</td><td>21E</td><td>PRL 127 082001</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>CHEN</td><td>20A</td><td>PR D102 012002</td><td>Y.Q. Chen et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AAIJ</td><td>17C</td><td>PR 118 022003</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>Also</td><td></td><td>PR D95 012002</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>BIRD</td><td>89</td><td>SLAC-332</td><td>P.F. Bird</td><td>(SLAC)</td></tr><tr><td>ASTON</td><td>88</td><td>NP B296 493</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>ASTON</td><td>87</td><td>NP P296 693</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>ASTON</td><td>84</td><td>PL 149B 258</td><td>D. Aston et al.</td><td>(SLAC, CARL, OTTA) JP</td></tr><tr><td>ETKIN</td><td>80</td><td>PR D22 42</td><td>A. Etkin et al.</td><td>(BNL, CUNY) JP</td></tr><tr><td>ESTABROOKS</td><td>78</td><td>NP B133 490</td><td>P.G. Estabrooks et al.</td><td>(MCGI, CARL, DURH+) JP</td></tr></table>

$$K_2(1770)$$

See our mini-review in the 2004 edition of this Review, PDG 04.

K₂(1770) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>1773 ± 8 OUR AVERAGE</strong></td></tr><tr><td>1777 ± 35<sup>+122</sup><sub>-77</sub></td><td>4289</td><td>1 AAIJ</td><td>17C</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>1773 ± 8</td><td></td><td>2 ASTON</td><td>93</td><td>LASS</td><td>11K<sup>-</sup>p → K<sup>-</sup>ωp</td></tr><tr><td>1743 ± 15</td><td></td><td>TIKHOMIROV</td><td>03</td><td>SPEC</td><td>40.0 π<sup>-</sup><sub>S</sub> C<sup>0</sup><sub>S</sub> π<sup>+</sup><sub>X</sub><br>K<sup>0</sup><sub>S</sub> K<sup>0</sup><sub>S</sub> K<sup>0</sup><sub>L</sub> X</td></tr><tr><td>1810 ± 20</td><td></td><td>FRAME</td><td>86</td><td>OMEG +</td><td>13 K<sup>+</sup>p → φK<sup>+</sup>p</td></tr><tr><td>~ 1730</td><td></td><td>ARMSTRONG</td><td>83</td><td>OMEG +</td><td>18.5 K<sup>-</sup>p → 3Kp</td></tr><tr><td>~ 1780</td><td></td><td>3 DAUM</td><td>81C</td><td>CNTR -</td><td>63 K<sup>-</sup>p → K<sup>-</sup>2πp</td></tr><tr><td>1710 ± 15</td><td>60</td><td>CHUNG</td><td>74</td><td>HBC -</td><td>7.3 K<sup>-</sup>p → K<sup>-</sup>ωp</td></tr><tr><td>1767 ± 6</td><td></td><td>BLIEDEN</td><td>72</td><td>MMS +</td><td>11-16 K<sup>-</sup>p</td></tr><tr><td>1730 ± 20</td><td>306</td><td>4 FIRESTONE</td><td>72b</td><td>DBC +</td><td>12 K<sup>+</sup>d</td></tr><tr><td>1765 ± 40</td><td></td><td>5 COLLEY</td><td>71</td><td>HBC +</td><td>10 K<sup>+</sup>p → K2πN</td></tr><tr><td>1740</td><td></td><td>DENEGRI</td><td>71</td><td>DBC -</td><td>12.6 K<sup>-</sup>d → K<sup>0</sup>2πd</td></tr><tr><td>1745 ± 20</td><td></td><td>AGUILAR...</td><td>70c</td><td>HBC -</td><td>4.6 K<sup>-</sup>p</td></tr><tr><td>1780 ± 15</td><td></td><td>BARTSCH</td><td>70c</td><td>HBC -</td><td>10.1 K<sup>-</sup>p</td></tr><tr><td>1760 ± 15</td><td></td><td>LUDLAM</td><td>70</td><td>HBC -</td><td>12.6 K<sup>-</sup>p</td></tr></tbody></table>

¹From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 5.0 $\sigma$.

²From a partial wave analysis of the $K^-\omega$ system.

³From a partial wave analysis of the $K^-2\pi$ system.

⁴Produced in conjunction with excited deuteron.

⁵Systematic errors added correspond to spread of different fits.

K₂(1770) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>186 ± 14 OUR AVERAGE</strong></td></tr><tr><td>217 ± 116<sup>+221</sup><sub>-154</sub></td><td>4289</td><td>6 AAIJ</td><td>17C</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>186 ± 14</td><td></td><td>7 ASTON</td><td>93</td><td>LASS</td><td>11K<sup>-</sup>p → K<sup>-</sup>ωp</td></tr><tr><td>147 ± 70</td><td></td><td>TIKHOMIROV</td><td>03</td><td>SPEC</td><td>40.0 π<sup>-</sup><sub>S</sub> C<sup>0</sup><sub>S</sub> π<sup>+</sup><sub>X</sub><br>K<sup>0</sup><sub>S</sub> K<sup>0</sup><sub>S</sub> K<sup>0</sup><sub>L</sub> X</td></tr><tr><td>140 ± 40</td><td></td><td>FRAME</td><td>86</td><td>OMEG +</td><td>13 K<sup>+</sup>p → φK<sup>+</sup>p</td></tr><tr><td>~ 220</td><td></td><td>ARMSTRONG</td><td>83</td><td>OMEG +</td><td>18.5 K<sup>-</sup>p → 3Kp</td></tr><tr><td>~ 210</td><td></td><td>8 DAUM</td><td>81C</td><td>CNTR -</td><td>63 K<sup>-</sup>p → K<sup>-</sup>2πp</td></tr><tr><td>110 ± 50</td><td>60</td><td>CHUNG</td><td>74</td><td>HBC -</td><td>7.3 K<sup>-</sup>p → K<sup>-</sup>ωp</td></tr><tr><td>100 ± 26</td><td></td><td>BLIEDEN</td><td>72</td><td>MMS +</td><td>11-16 K<sup>-</sup>p</td></tr><tr><td>210 ± 30</td><td>306</td><td>9 FIRESTONE</td><td>72b</td><td>DBC +</td><td>12 K<sup>+</sup>d</td></tr><tr><td>90 ± 70</td><td></td><td>10 COLLEY</td><td>71</td><td>HBC +</td><td>10 K<sup>+</sup>p → K2πN</td></tr><tr><td>130</td><td></td><td>DENEGRI</td><td>71</td><td>DBC -</td><td>12.6 K<sup>-</sup>d → K<sup>0</sup>2πd</td></tr><tr><td>100 ± 50</td><td></td><td>AGUILAR...</td><td>70c</td><td>HBC -</td><td>4.6 K<sup>-</sup>p</td></tr><tr><td>138 ± 40</td><td></td><td>BARTSCH</td><td>70c</td><td>HBC -</td><td>10.1 K<sup>-</sup>p</td></tr><tr><td>50<sup>+40</sup><sub>-20</sub></td><td></td><td>LUDLAM</td><td>70</td><td>HBC -</td><td>12.6 K<sup>-</sup>p</td></tr></tbody></table>

⁶From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 5.0 $\sigma$.
# Meson Particle Listings

$K_2(1770)$, $K_3^*(1780)$

⁷From a partial wave analysis of the $K^−\omega$ system.

⁸From a partial wave analysis of the $K^−2\pi$ system.

⁹Produced in conjunction with excited deuteron.

¹⁰Systematic errors added correspond to spread of different fits.

## $K_2(1770)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Kππ</td><td></td></tr><tr><td>Γ<sub>2</sub> K<sub>2</sub><sup>0</sup>(1430)π</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> K<sup>*</sup>(892)π</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> Kf<sub>2</sub>(1270)</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> Kf<sub>0</sub>(980)</td><td>possibly seen</td></tr><tr><td>Γ<sub>6</sub> Kφ</td><td>seen</td></tr><tr><td>Γ<sub>7</sub> Kω</td><td>seen</td></tr></tbody></table>

## $K_2(1770)$ BRANCHING RATIOS

$$ \Gamma(K_2^*(1430)\pi)/\Gamma(K\pi\pi) \qquad \Gamma_2/\Gamma_1 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • •</td><td colspan="4">We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>~ 0.03</td><td>DAUM</td><td>81c</td><td>CNTR</td><td>63 K<sup>-</sup> p → K<sup>-</sup> 2πp</td></tr><tr><td>~ 1.0</td><td>11 FIRESTONE</td><td>72b</td><td>DBC</td><td>12 K<sup>+</sup> d</td></tr><tr><td>&lt;1.0</td><td>COLLEY</td><td>71</td><td>HBC</td><td>10 K<sup>+</sup> p</td></tr><tr><td>0.2 ± 0.2</td><td>AGUILAR-...</td><td>70c</td><td>HBC</td><td>4.6 K<sup>-</sup> p</td></tr><tr><td>&lt;1.0</td><td>BARTSCH</td><td>70c</td><td>HBC</td><td>10.1 K<sup>-</sup> p</td></tr><tr><td>1.0</td><td>BARBARO-...</td><td>69</td><td>HBC</td><td>12.0 K<sup>+</sup> p</td></tr></tbody></table>

¹¹Produced in conjunction with excited deuteron.

$$ \Gamma(K^*(892)\pi)/\Gamma(K\pi\pi) \qquad \Gamma_3/\Gamma_1 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • •</td><td colspan="3">We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>~ 0.23</td><td>DAUM</td><td>81c</td><td>CNTR</td><td>63 K<sup>-</sup> p → K<sup>-</sup> 2πp</td></tr></tbody></table>

$$ \Gamma(Kf_2(1270))/\Gamma(K\pi\pi) \qquad \Gamma_4/\Gamma_1 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • •</td><td colspan="3">We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>~ 0.74</td><td>DAUM</td><td>81c</td><td>CNTR</td><td>63 K<sup>-</sup> p → K<sup>-</sup> 2πp</td></tr></tbody></table>

$$ \Gamma(Kf_0(980))/\Gamma_{\text{total}} \qquad \Gamma_5/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • •</td><td colspan="3">We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>possibly seen</td><td>TIKHOMIROV</td><td>03</td><td>SPEC</td><td>40.0 K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>-</sup> C<sub>S</sub><sup>-</sup> K<sub>L</sub><sup>-</sup> X</td></tr></tbody></table>

$$ \Gamma(K\phi)/\Gamma_{\text{total}} \qquad \Gamma_6/\Gamma $$

¹²From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 7.9 σ.

¹³From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 5.0 σ.

¹⁴Superseded by AAIJ 21E.

$$ \Gamma(K\omega)/\Gamma_{\text{total}} \qquad \Gamma_7/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>OTTER</td><td>81</td><td>HBC ±</td><td>8.25,10.16 K<sup>±</sup> p</td></tr><tr><td>seen</td><td>CHUNG</td><td>74</td><td>HBC</td><td>7.3 K<sup>-</sup> p → K<sup>-</sup> ωp</td></tr></tbody></table>

## $K_2(1770)$ REFERENCES

<table><tbody><tr><td>AAIJ</td><td>21E</td><td>PRL 127 082001</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>17C</td><td>PRL 118 022003</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>Also</td><td>PRD 995 012002</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>PDG</td><td>04</td><td>PL B592 1</td><td>S. Eidelman et al.</td><td>(PDG Collab.)</td></tr><tr><td>TIKHOMIROV</td><td>03</td><td>PAN 66 828</td><td>G.D. Tikhomirov et al.</td><td></td></tr><tr><td>ASTON</td><td>93</td><td>PL B308 186</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>FRAME</td><td>86</td><td>NP B276 667</td><td>D. Frame et al.</td><td>(GLAS)</td></tr><tr><td>ARMSTRONG</td><td>83</td><td>NP B221 1</td><td>T.A. Armstrong et al.</td><td>(BARI, BIRM, CERN+)</td></tr><tr><td>DAUM</td><td>81C</td><td>NP B187 1</td><td>C. Daum et al.</td><td>(AMST, CERN, CRAC, MPIM+)</td></tr><tr><td>OTTER</td><td>81</td><td>NP B181 1</td><td>G. Otter</td><td>(AACH3, BERL, LOIC, VIEN, BIRM+)</td></tr><tr><td>CHUNG</td><td>74</td><td>PL 51B 413</td><td>S.U. Chung et al.</td><td>(BNL)</td></tr><tr><td>BLIEDEN</td><td>72</td><td>PL 39B 568</td><td>H.R. Blueden et al.</td><td>(STON, NEAS)</td></tr><tr><td>FIRESTONE</td><td>72B</td><td>PR D5 505</td><td>A. Firestone et al.</td><td>(LBL)</td></tr><tr><td>COLLEY</td><td>71</td><td>NP B26 71</td><td>D.C. Colley et al.</td><td>(BIRM, GLAS)</td></tr><tr><td>DENEGRI</td><td>71</td><td>NP B28 13</td><td>D. Denegri et al.</td><td>(JHU, JP)</td></tr><tr><td>AGUILAR-...</td><td>70C</td><td>PR 25 54</td><td>M. Aguilar-Benitez et al.</td><td>(BNL)</td></tr><tr><td>BARTSCH</td><td>70C</td><td>PL 33B 186</td><td>J. Bartsch et al.</td><td>(AACH, BERL, CERN+)</td></tr><tr><td>LUDLAM</td><td>70</td><td>PR D2 1234</td><td>T. Ludlam, J. Sandweiss, A.J. Slaughter</td><td>(YALE)</td></tr><tr><td>BARBARO-...</td><td>69</td><td>PRL 22 1207</td><td>A. Barbaro-Galtieri et al.</td><td>(LRL)</td></tr></tbody></table>

$$ K_3^*(1780) $$

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

## $K_3^*(1780)$ T-MATRIX POLE $\sqrt{s}$

Note that $\Gamma = -2 \ln(\sqrt{s})$.

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>(1754 ± 13)–i (119 ± 14)</td><td colspan="3">OUR EVALUATION</td></tr><tr><td>(1754 ± 13)–i (119 ± 14)</td><td>1 PELAEZ</td><td>17</td><td>RVUE πK → πK</td></tr></tbody></table>

¹Reanalysis of ESTABROOKS 78 and ASTON 88 satisfying Forward Dispersion Relations and using sequences of Pade approximants.

## $K_3^*(1780)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>1779 ± 8 OUR AVERAGE</strong></td></tr><tr><td></td><td></td><td colspan="4">Error includes scale factor of 1.2.</td></tr><tr><td>1813 ± 15<sup>+65</sup><sub>-16</sub></td><td>18k</td><td>1 ABLIKIM</td><td>20F</td><td>BES3</td><td>ψ(2S) → K<sup>+</sup> K<sup>-</sup> η</td></tr><tr><td>1781 ± 8 ± 4</td><td></td><td>2 ASTON</td><td>88</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>1740 ± 14 ± 15</td><td></td><td>2 ASTON</td><td>87</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td></tr><tr><td>1779 ± 11</td><td></td><td>3 BALDI</td><td>76</td><td>SPEC</td><td>+</td><td>10 K<sup>+</sup> p → K<sup>0</sup> π<sup>+</sup> p</td></tr><tr><td>1776 ± 26</td><td></td><td>4 BRANDENB... 76d</td><td>ASPK</td><td>0</td><td>13 K<sup>±</sup> p → K<sup>±</sup> π<sup>+</sup> N</td></tr><tr><td colspan="6"><strong>• • •</strong> We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1720 ± 10 ± 15</td><td>6111</td><td>5 BIRD</td><td>89</td><td>LASS</td><td>–</td><td>11 K<sup>-</sup> p → K<sup>0</sup> π<sup>-</sup> p</td></tr><tr><td>1749 ± 10</td><td></td><td>ASTON</td><td>88b</td><td>LASS</td><td>–</td><td>11 K<sup>-</sup> p → K<sup>-</sup> ηp</td></tr><tr><td>1780 ± 9</td><td>300</td><td>BAUBILLIER</td><td>84b</td><td>HBC</td><td>–</td><td>8.25 K<sup>-</sup> p → K<sup>0</sup> π<sup>-</sup> p</td></tr><tr><td>1790 ± 15</td><td></td><td>BAUBILLIER</td><td>82b</td><td>HBC</td><td>0</td><td>8.25 K<sup>-</sup> p → K<sup>0</sup> S 2πN</td></tr><tr><td>1784 ± 9</td><td>2060</td><td>CLELAND</td><td>82</td><td>SPEC</td><td>±</td><td>50 K<sup>+</sup> p → K<sup>0</sup> π<sup>+</sup> p</td></tr><tr><td>1786 ± 15</td><td></td><td>6 ASTON</td><td>81d</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>1762 ± 9</td><td>190</td><td>TOAFF</td><td>81</td><td>HBC</td><td>–</td><td>6.5 K<sup>-</sup> p → K<sup>0</sup> π<sup>-</sup> p</td></tr><tr><td>1850 ± 50</td><td></td><td>ETKIN</td><td>80</td><td>MPS</td><td>0</td><td>6 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>1812 ± 28</td><td></td><td>BEUSCH</td><td>78</td><td>OMEG</td><td>–</td><td>10 K<sup>+</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td></tr><tr><td>1786 ± 8</td><td></td><td>CHUNG</td><td>78</td><td>MPS</td><td>0</td><td>6 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr></tbody></table>

¹Seen in $\psi(2S)$ decay with branching ratio $\psi(2S) \to K^\pm X \to K^+ K^- \eta = (2.0 \pm 0.4 \pm 1.9) \times 10^{-6}$.

²From energy-independent partial-wave analysis.

³From a fit to $Y_6^0$ moment. $J^P = 3^-$ found.

⁴Confirmed by phase shift analysis of ESTABROOKS 78, yields $J^P = 3^-$.

⁵From a partial wave amplitude analysis.

⁶From a fit to the $Y_6^0$ moment.

## $K_3^*(1780)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>161 ± 17 OUR AVERAGE</strong></td></tr><tr><td></td><td></td><td colspan="4">Error includes scale factor of 1.1.</td></tr><tr><td>191<sup>+43</sup><sub>-37</sub> ± 3</td><td>1.8k</td><td>1 ABLIKIM</td><td>20F</td><td>BES3</td><td>ψ(2S) → K<sup>+</sup> K<sup>-</sup> η</td></tr><tr><td>203 ± 30 ± 8</td><td></td><td>2 ASTON</td><td>88</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>171 ± 42 ± 20</td><td></td><td>2 ASTON</td><td>87</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td>8.25 K<sup>-</sup> p → K<sup>0</sup> π<sup>-</sup> p</td></tr><tr><td></td><td></td><td></td><td></td><td></td><td></td><td>8.25 K<sup>-</sup> p → K<sup>0</sup> S 2πN</td></tr><tr><td>191 ± 24</td><td>2060</td><td>CLELAND</td><td>82</td><td>SPEC</td><td>±</td><td>50 K<sup>+</sup> p → K<sup>0</sup> S π<sup>+</sup> p</td></tr><tr><td>225 ± 60</td><td></td><td>5 ASTON</td><td>81d</td><td>HBC</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>~ 80</td><td>190</td><td>TOAFF</td><td>81</td><td>HBC</td><td>–</td><td>6.5 K<sup>-</sup> p → K<sup>0</sup> π<sup>-</sup> p</td></tr><tr><td>240 ± 50</td><td></td><td>ETKIN</td><td>80</td><td>MPS</td><td>0</td><td>6 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>181 ± 44</td><td></td><td>6 BEUSCH</td><td>78</td><td>OMEG</td><td>–</td><td>10 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td></tr><tr><td>96 ± 31</td><td></td><td>CHUNG</td><td>78</td><td>MPS</td><td>0</td><td>6 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>270 ± 70</td><td></td><td>7 BRANDENB... 76d</td><td>ASPK</td><td>0</td><td>13 K<sup>±</sup> p → K<sup>±</sup> π<sup>+</sup> N</td></tr></tbody></table>

¹Seen in $\psi(2S)$ decay with branching ratio $\psi(2S) \to K^\pm X \to K^+ K^- \eta = (2.0 \pm 0.4 \pm 1.9) \times 10^{-6}$.

²From energy-independent partial-wave analysis.

³From a fit to $Y_6^0$ moment. $J^P = 3^-$ found.

⁴From a partial wave amplitude analysis.

⁵From a fit to $Y_6^0$ moment.

⁶Errors enlarged by us to $4\Gamma/\sqrt{N}$; see the note with the $K^*(892)$ mass.

⁷ESTABROOKS 78 find that BRANDENBURG 76d data are consistent with 175 MeV width. Not averaged.
## $K_3^*(1780)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>j</sub>/Γ)</th><th>Confidence level</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> Kρ</td><td>(31 ± 9)%</td><td></td></tr><tr><td>Γ<sub>2</sub> K*(892)π</td><td>(20 ± 5)%</td><td></td></tr><tr><td>Γ<sub>3</sub> Kπ</td><td>(18.8 ± 1.0)%</td><td></td></tr><tr><td>Γ<sub>4</sub> Kη</td><td>(30 ± 13)%</td><td></td></tr><tr><td>Γ<sub>5</sub> K<sub>2</sub>(1430)π</td><td>&lt; 16 %</td><td>95%</td></tr></tbody></table>

## CONSTRAINED FIT INFORMATION

An overall fit to 3 branching ratios uses 4 measurements and one constraint to determine 4 parameters. The overall fit has a $\chi^2 = 0.0$ for 1 degrees of freedom.

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

<figure><img src="image_531.png" /></figure>

## $K_3^*(1780)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(Kρ)/Γ(K*(892)π)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.52±0.23 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>1.52±0.21±0.10</strong></td><td>ASTON</td><td>87</td><td>LASS</td><td>0 11 K<sup>-</sup>ρ → K<sup>0</sup>π<sup>+</sup>π<sup>-</sup>n</td></tr></tbody></table>

<table><thead><tr><th>Γ(K*(892)π)/Γ(Kπ)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.09±0.26 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>1.09±0.26</strong></td><td>ASTON</td><td>84B</td><td>LASS</td><td>0 11 K<sup>-</sup>ρ → K<sup>0</sup>2πn</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>0.188±0.010 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td><strong>0.188±0.010 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.187±0.008±0.008</td><td>ASTON</td><td>88</td><td>LASS</td><td>0 11 K<sup>-</sup>ρ → K<sup>-</sup>π<sup>+</sup>n</td></tr><tr><td>0.19 ± 0.02</td><td>ESTABROOKS</td><td>78</td><td>ASPK</td><td>0 13 K<sup>±</sup>ρ → KπN</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kη)/Γ(Kπ)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1.6 ± 0.7 OUR FIT</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>0.41±0.050</td><td>1 BIRD</td><td>89</td><td>LASS</td><td>— 11 K<sup>-</sup>ρ → K<sup>0</sup>π<sup>-</sup>ρ</td></tr><tr><td>0.50±0.18</td><td>ASTON</td><td>88B</td><td>LASS</td><td>— 11 K<sup>-</sup>ρ → K<sup>-</sup>ηρ</td></tr></tbody></table>

¹ This result supersedes ASTON 88B.

<table><thead><tr><th>Γ(K<sub>2</sub>(1430)π)/Γ(K*(892)π)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>&lt;0.78</strong></td><td>ASTON</td><td>87</td><td>LASS</td><td>0 11 K<sup>-</sup>ρ → K<sup>0</sup>π<sup>+</sup>π<sup>-</sup>n</td></tr></tbody></table>

## $K_3^*(1780)$ REFERENCES

<table><tbody><tr><td>ABLIKIM</td><td>20F</td><td>PR D101 032008</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>PELAEZ</td><td>17</td><td>EPJ C77 91</td><td>J.R. Pelaez, A.Rodas, J.R. de Elvira</td><td></td></tr><tr><td>BIRD</td><td>89</td><td>SLAC-332</td><td>P.F. Bird</td><td></td></tr><tr><td>ASTON</td><td>88</td><td>NP B296 493</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>ASTON</td><td>88B</td><td>PL B201 169</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS) JP</td></tr><tr><td>ASTON</td><td>87</td><td>NP B292 693</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>ASTON</td><td>84B</td><td>NP B247 261</td><td>D. Aston et al.</td><td>(SLAC, CARL, OTTA)</td></tr><tr><td>BAUBILLIER</td><td>84B</td><td>ZPHY C26 37</td><td>M. Baubillier et al.</td><td>(BIRM, CERN, GLAS+)</td></tr><tr><td>BAUBILLIER</td><td>82B</td><td>NP B202 21</td><td>M. Baubillier et al.</td><td>(BIRM, CERN, GLAS+)</td></tr><tr><td>CLELAND</td><td>82</td><td>NP B206 189</td><td>W.E. Cleland et al.</td><td>(DURH, GEVA, LAUS+)</td></tr><tr><td>ASTON</td><td>81D</td><td>PL 99B 502</td><td>D. Aston et al.</td><td>(SLAC, CARL, OTTA) JP</td></tr><tr><td>TOAFF</td><td>81</td><td>PR D23 1500</td><td>S. Toaff et al.</td><td>(ANL, KANS)</td></tr><tr><td>ETKIN</td><td>80</td><td>PR D22 42</td><td>A. Etkin et al.</td><td>(BNL, CUNY) JP</td></tr><tr><td>BEUSCH</td><td>78</td><td>PL 74B 282</td><td>W. Beusch et al.</td><td>(CERN, AACH3, ETH) JP</td></tr><tr><td>CHUNG</td><td>78</td><td>PRL 40 355</td><td>S.U. Chung et al.</td><td>(BNL, BRAN, CUNY+) JP</td></tr><tr><td>ESTABROOKS</td><td>78</td><td>NP B133 490</td><td>P.G. Estabrooks et al.</td><td>(MCGI, CARL, DURH+) JP</td></tr><tr><td>Also</td><td>78</td><td>PR D17 658</td><td>P.G. Estabrooks et al.</td><td>(MCGI, CARL, DURH+)</td></tr><tr><td>BALDI</td><td>76</td><td>PL 63B 344</td><td>R. Baldi et al.</td><td>(GEVA) JP</td></tr><tr><td>BRANDENB...</td><td>76D</td><td>PL 60B 478</td><td>G.W. Brandenburg et al.</td><td>(SLAC) JP</td></tr></tbody></table>

$$K_2(1820)$$

$$I(J^P) = \frac{1}{2}(2^{-\gamma})$$

See our mini-review in the 2004 edition of this Review (PDG 04) under $K_2(1770)$.

## $K_2(1820)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1819±12 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>1853±27<sup>+18</sup><sub>-35</sub></td><td>4289</td><td>1 AAIJ</td><td>17C</td><td>LHCB B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>1816±13</td><td></td><td>2 ASTON</td><td>93</td><td>LASS 11K<sup>-</sup>p → K<sup>-</sup>ωp</td></tr></tbody></table>

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

$$\sim 1840 \qquad 3 \text{ DAUM} \qquad 81C \text{ CNTR} \quad 63 K^{-} p \rightarrow K^{-} 2\pi p$$

¹ From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 3.0 $\sigma$.

² From a partial wave analysis of the $K^-$ system.

³ From a partial wave analysis of the $K^-$ $2\pi$ system.

## $K_2(1820)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>264±34 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>167±58<sup>+82</sup><sub>-72</sub></td><td>4289</td><td>1 AAIJ</td><td>17C</td><td>LHCB B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>276±35</td><td></td><td>2 ASTON</td><td>93</td><td>LASS 11K<sup>-</sup>p → K<sup>-</sup>ωp</td></tr></tbody></table>

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

$$\sim 230 \qquad 3 \text{ DAUM} \qquad 81C \text{ CNTR} \quad 63 K^{-} p \rightarrow K^{-} 2\pi p$$

¹ From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 3.0 $\sigma$.

² From a partial wave analysis of the $K^-$ system.

³ From a partial wave analysis of the $K^-$ $2\pi$ system.

## $K_2(1820)$ 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> Kππ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> K<sub>2</sub>(1430)π</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> K*(892)π</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> Kf<sub>2</sub>(1270)</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> Kω</td><td>seen</td></tr><tr><td>Γ<sub>6</sub> Kφ</td><td>seen</td></tr></tbody></table>

## $K_2(1820)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(K<sub>2</sub>(1430)π)/Γ(Kππ)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>• • • We do not use the following data for averages, fits, limits, etc. • • •</strong></td><td></td><td></td><td></td></tr><tr><td>~ 0.77</td><td>DAUM</td><td>81C</td><td>CNTR 63K<sup>-</sup>p → K<sup>-</sup>2πp</td></tr></tbody></table>

<table><thead><tr><th>Γ(K*(892)π)/Γ(Kππ)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>• • • We do not use the following data for averages, fits, limits, etc. • • •</strong></td><td></td><td></td><td></td></tr><tr><td>~ 0.05</td><td>DAUM</td><td>81C</td><td>CNTR 63K<sup>-</sup>p → K<sup>-</sup>2πp</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kf<sub>2</sub>(1270))/Γ(Kππ)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>• • • We do not use the following data for averages, fits, limits, etc. • • •</strong></td><td></td><td></td><td></td></tr><tr><td>~ 0.18</td><td>DAUM</td><td>81C</td><td>CNTR 63K<sup>-</sup>p → K<sup>-</sup>2πp</td></tr></tbody></table>

<table><thead><tr><th>Γ(Kφ)/Γ<sub>total</sub></th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>seen</strong></td><td>24k</td><td>1 AAIJ</td><td>21E</td><td>LHCB B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr></tbody></table>

¹ From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 5.8 $\sigma$.

² From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 3.0 $\sigma$.

³ Superseded by AAIJ 21E.

## $K_2(1820)$ REFERENCES

<table><tbody><tr><td>AAIJ</td><td>21E</td><td>PRL 127 082001</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>AAIJ</td><td>17C</td><td>PRL 118 022003</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>Also</td><td></td><td>PR D95 012002</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>PDG</td><td>04</td><td>PL B592 1</td><td>S. Eidelman et al.</td><td>(PDG Collab.)</td></tr><tr><td>ASTON</td><td>93</td><td>PL B308 186</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr><tr><td>DAUM</td><td>81C</td><td>NP B187 1</td><td>C. Daum et al.</td><td>(AMST, CERN, CRAC, MPIM+)</td></tr></tbody></table>

$$K(1830)$$

$$I(J^P) = \frac{1}{2}(0^{-\gamma})$$

OMITTED FROM SUMMARY TABLE

Seen in partial-wave analysis of $K\phi$ system. Needs confirmation.
### K(1830) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>1874 ± 43<sup>+59</sup><sub>-115</sub></td><td>4289</td><td>1,2 AAIJ</td><td>17c</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>~ 1830</td><td></td><td>ARMSTRONG</td><td>83</td><td>OMEG</td><td>18.5 K<sup>-</sup> p → 3K p</td></tr></tbody></table>

¹From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 3.5 $\sigma$.

²A subsequent amplitude analysis of $B^+ \to J/\psi\phi K^+$ by AAIJ 21E did not confirm this measurement.

### K(1830) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>168 ± 90<sup>+280</sup><sub>-104</sub></td><td>4289</td><td>3,4 AAIJ</td><td>17c</td><td>LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>~ 250</td><td></td><td>ARMSTRONG</td><td>83</td><td>OMEG</td><td>18.5 K<sup>-</sup> p → 3K p</td></tr></tbody></table>

³From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 3.5 $\sigma$.

⁴A subsequent amplitude analysis of $B^+ \to J/\psi\phi K^+$ by AAIJ 21E did not confirm this measurement.

### K(1830) DECAY MODES

Mode

$\Gamma_1 \ K \phi$

### K(1830) REFERENCES

<table><tr><td>AAIJ</td><td>21E</td><td>PRL 127 082001</td></tr><tr><td>AAIJ</td><td>17C</td><td>PRL 118 022003</td></tr><tr><td>Also</td><td></td><td>PR D95 012002</td></tr><tr><td>ARMSTRONG</td><td>83</td><td>NP B221 1</td></tr></table>

<table><tr><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>T.A. Armstrong et al.</td><td>(BARI, BIRM, CERN+) JP</td></tr></table>

$K_0^*(1950)$

$I(J^P) = \frac{1}{2}(0^+)$

Seen in partial-wave analysis of the $K^-\pi^+$ system. Needs confirmation.

### K\*_0(1950) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>1957±14 OUR AVERAGE</strong></td></tr><tr><td>1980 ± 14 ± 19</td><td>1 AAIJ</td><td>23AH LHCB</td><td></td><td>B<sup>+</sup> → K<sup>+</sup>(K<sub>S</sub><sup>0</sup> K π)</td></tr><tr><td>1942 ± 22 ± 21</td><td>LEES</td><td>21A BABR</td><td></td><td>γγ → η<sub>C</sub>(1S) → η' K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>1945 ± 10 ± 20</td><td>2 ASTON</td><td>88 LASS 0</td><td></td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1917 ± 12</td><td>3 ZHOU</td><td>06 RVUE</td><td></td><td>K p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>1820 ± 40</td><td>4 ANISOVICH</td><td>97c RVUE</td><td></td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr></tbody></table>

¹From Dalitz plot analyses of $\eta_c(1S, 2S) \to K_0^0 K^+ \pi^- + c.c.$.

²We take the central value of the two solutions and the larger error given.

³S-matrix pole. Using ASTON 88 and assuming $K_0^*(700)$, $K_0^*(1430)$.

⁴T-matrix pole. Reanalysis of ASTON 88 data.

### K\*_0(1950) WIDTH

<table><caption>WEIGHTED AVERAGE
170±50 (Error scaled by 2.2)</caption><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>170 ± 50 OUR AVERAGE</strong> Error includes scale factor of 2.2. See the Ideogram below.</td></tr><tr><td>229 ± 26 ± 16</td><td>1 AAIJ</td><td>23AH LHCB</td><td></td><td>B<sup>+</sup> → K<sup>+</sup>(K<sub>S</sub><sup>0</sup> K π)</td></tr><tr><td>80 ± 32 ± 20</td><td>LEES</td><td>21A BABR</td><td></td><td>γγ → η<sub>C</sub>(1S) → η' K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>201 ± 34 ± 79</td><td>2 ASTON</td><td>88 LASS 0</td><td></td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>145 ± 38</td><td>3 ZHOU</td><td>06 RVUE</td><td></td><td>K p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>250 ± 100</td><td>4 ANISOVICH</td><td>97c RVUE</td><td></td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr></tbody></table>

<figure><img src="image_532.png" /></figure>

¹From Dalitz plot analyses of $\eta_c(1S, 2S) \to K_0^0 K^+ \pi^- + c.c.$

²We take the central value of the two solutions and the larger error given.

³S-matrix pole. Using ASTON 88 and assuming $K_0^*(700)$, $K_0^*(1430)$.

⁴T-matrix pole. Reanalysis of ASTON 88 data.

### K\*_0(1950) 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> K<sup>-</sup> π<sup>+</sup></td><td>(52±14) %</td></tr></tbody></table>

### K\*_0(1950) BRANCHING RATIOS

<table><thead><tr><th colspan="5">Γ(K<sup>-</sup> π<sup>+</sup>)/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.52 ± 0.08 ± 0.12</td><td>1 ASTON</td><td>88</td><td>LASS</td><td>0 11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>~ 0.60</td><td>2 ZHOU</td><td>06</td><td>RVUE</td><td>K p → K<sup>-</sup> π<sup>+</sup> n</td></tr></tbody></table>

¹We take the central value of the two solutions and the larger error given.

²S-matrix pole. Using ASTON 88 and assuming $K_0^*(700)$, $K_0^*(1430)$.

### K\*_0(1950) REFERENCES

<table><tr><td>AAIJ</td><td>23AH PR D108 032010</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>LEES</td><td>21A PR D104 072002</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ZHOU</td><td>06 NP A775 212</td><td>Z.Y. Zhou, H.Q. Zheng</td><td></td></tr><tr><td>ANISOVICH</td><td>97C PL B413 137</td><td>A.V. Anisovich, A.V. Sarantsev</td><td></td></tr><tr><td>ASTON</td><td>88 NP B296 493</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr></table>

$K_2^*(1980)$

$I(J^P) = \frac{1}{2}(2^+)$

### K\*_2(1980) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>1990 ± 60 <sup>50</sup> OUR AVERAGE</strong> Error includes scale factor of 2.8. See the ideogram below.</td></tr><tr><td>2046 ± 17 ± 67</td><td>1.8k</td><td>1 ABLIKIM</td><td>20F BES3</td><td>ψ(2S) → K<sup>+</sup> K<sup>-</sup> η</td><td></td></tr><tr><td>1868 ± 8 ± 40</td><td>183k</td><td>ABLIKIM</td><td>19AQBES</td><td>± J/ψ → K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td><td></td></tr><tr><td>1973 ± 8 ± 25</td><td></td><td>ASTON</td><td>87 LASS 0</td><td>11 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td><td></td></tr></tbody></table>

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

<table><tr><td>2073 ± 94 ± 245</td><td>4289</td><td>2,3 AAIJ</td><td>17c LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>2020 ± 20</td><td></td><td>TIKHOMIROV</td><td>03 SPEC</td><td>40.0 π<sup>-</sup> C → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> K<sub>L</sub><sup>0</sup> X</td></tr><tr><td>1978 ± 40</td><td>241</td><td>BIRD</td><td>89 LASS</td><td>11 K<sup>-</sup> p → K<sup>0</sup> π<sup>-</sup> p</td></tr></table>

¹Seen in $\psi(2S)$ decay with branching ratio $\psi(2S) \to K^\pm X \to K^+ K^- \eta = (7.0 \pm 0.5 \pm 3.7 \pm 0.6) \times 10^{-6}$.

²From an amplitude analysis of the decay $B^+ \to J/\psi\phi K^+$ with a significance of 5.4 $\sigma$.

³A reanalysis by AAIJ 21E using a larger data sample did not confirm this measurement, the new result having a significance of only 1.6 $\sigma$.

<figure><img src="image_533.png" /><figcaption>$K_2^*(1980)$ MASS (MeV)</figcaption></figure>

### K\*_2(1980) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>348 ± 50 <sup>30</sup> OUR AVERAGE</strong> Error includes scale factor of 1.3. See the ideogram below.</td></tr><tr><td>408 ± 38 ± 72</td><td>1.8k</td><td>1 ABLIKIM</td><td>20F BES3</td><td>ψ(2S) → K<sup>+</sup> K<sup>-</sup> η</td><td></td></tr><tr><td>272 ± 24 ± 50</td><td>183k</td><td>ABLIKIM</td><td>19AQBES</td><td>± J/ψ → K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td><td></td></tr><tr><td>373 ± 33 ± 60</td><td></td><td>ASTON</td><td>87 LASS 0</td><td>11 K<sup>-</sup> p → K<sup>0</sup> π<sup>+</sup> π<sup>-</sup> n</td><td></td></tr></tbody></table>
• • • We do not use the following data for averages, fits, limits, etc. • • •

<table><tr><td>678 ± 311</td><td>+1153</td><td>-559</td><td>4289</td><td>2,3 AAIJ</td><td>17C LHCB</td><td>B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr><tr><td>180 ± 70</td><td></td><td></td><td></td><td>TIKHOMIROV</td><td>03 SPEC</td><td>40.0 π<sup>-</sup> C → K<sup>0</sup>S K<sup>0</sup>S K<sup>0</sup>L X</td></tr><tr><td>398 ± 47</td><td>241</td><td></td><td></td><td>BIRD</td><td>89 LASS</td><td>11 K<sup>-</sup> p → K<sup>0</sup>π<sup>-</sup> p</td></tr></table>

¹Seen in ψ(2S) decay with branching ratio ψ(2S) → K±X → K+K−η = (7.0 ± 0.5+3.7-0.6) × 10⁻⁶.

²From an amplitude analysis of the decay B⁺ → J/ψφK⁺ with a significance of 5.4 σ.

³A reanalysis by AAIJ 21E using a larger data sample did not confirm this measurement, the new result having a significance of only 1.6 σ.

<figure><img src="image_534.png" /></figure>

$K_2^*(1980)$ 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> K<sup>*</sup>(892) π</td><td>possibly seen</td></tr><tr><td>Γ<sub>2</sub> K<sub>ρ</sub></td><td>possibly seen</td></tr><tr><td>Γ<sub>3</sub> Kf<sub>2</sub>(1270)</td><td>possibly seen</td></tr><tr><td>Γ<sub>4</sub> K<sub>φ</sub></td><td>seen</td></tr><tr><td>Γ<sub>5</sub> K<sub>η</sub></td><td>seen</td></tr></tbody></table>

$K_2^*(1980)$ BRANCHING RATIOS

<table><tr><td>Γ(K*(892)π)/Γ<sub>total</sub></td><td>Γ<sub>1</sub>/Γ</td></tr><tr><td>VALUE</td><td></td></tr><tr><td>possibly seen</td><td>GULER</td><td>11</td><td>BELL</td><td>B<sup>+</sup> → J/ψK<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr></table>

<table><tr><td>Γ(Kρ)/Γ<sub>total</sub></td><td>Γ<sub>2</sub>/Γ</td></tr><tr><td>VALUE</td><td></td></tr><tr><td>possibly seen</td><td>GULER</td><td>11</td><td>BELL</td><td>B<sup>+</sup> → J/ψK<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr></table>

<table><tr><td>Γ(Kρ)/Γ(K*(892)π)</td><td>Γ<sub>2</sub>/Γ<sub>1</sub></td></tr><tr><td>VALUE</td><td></td></tr><tr><td>1.49 ± 0.24 ± 0.09</td><td>ASTON</td><td>87</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>0</sup>π<sup>+</sup>π<sup>-</sup>π<sup>-</sup></td></tr></table>

<table><tr><td>Γ(Kf<sub>2</sub>(1270))/Γ<sub>total</sub></td><td>Γ<sub>3</sub>/Γ</td></tr><tr><td>VALUE</td><td></td></tr><tr><td>possibly seen</td><td>TIKHOMIROV</td><td>03 SPEC</td><td>40.0 π<sup>-</sup> C → K<sup>0</sup>S K<sup>0</sup>S K<sup>0</sup>L X</td></tr></table>

<table><tr><td>Γ(Kφ)/Γ<sub>total</sub></td><td>Γ<sub>4</sub>/Γ</td></tr><tr><td>VALUE</td><td></td></tr><tr><td>seen</td><td>4289 1,2 AAIJ 17C LHCB B<sup>+</sup> → J/ψφK<sup>+</sup></td></tr></table>

¹From an amplitude analysis of the decay B⁺ → J/ψφK⁺ with a significance of 5.4 σ.

²A reanalysis by AAIJ 21E using a larger data sample did not confirm this measurement, the new result having a significance of only 1.6 σ.

<table><tr><td>Γ(Kη)/Γ<sub>total</sub></td><td>Γ<sub>5</sub>/Γ</td></tr><tr><td>VALUE</td><td></td></tr><tr><td>seen</td><td>1.8k 1 ABLIKIM 20F BES3 ψ(2S) → K<sup>+</sup> K<sup>-</sup>η</td></tr><tr><td>seen</td><td>116k 2 CHEN 20A BELL D<sup>0</sup> → K<sup>-</sup>π<sup>+</sup>η</td></tr></table>

¹Seen decaying to Kη in an amplitude analysis of ψ(2S) → K⁺K⁻η.

²From an amplitude analysis of the decay D⁰ → K⁻π⁺η with a significance of 17 σ.

$K_2^*(1980)$ REFERENCES

<table><tr><td>AAI</td><td>21E PRL 127 083001</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>20F PR D101 032008</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>CHEN</td><td>20A PR D102 012002</td><td>Y.Q. Chen et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABLIKIM</td><td>19AQ PR D100 032004</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr></table>

<table><tr><td>AAIJ</td><td>17C</td><td>PRL 118 022003</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>Also</td><td></td><td>PR D95 012002</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>GULER</td><td>11</td><td>PR D83 032005</td><td>H. Guler et al.</td><td>(BELLE Collab.)</td></tr><tr><td>TIKHOMIROV</td><td>03</td><td>PAN 66 828<br>Translated from YAF 66 860</td><td>G.D. Tikhomirov et al.</td><td></td></tr><tr><td>BIRD</td><td>89</td><td>P.F. Bird</td><td></td><td>(SLAC)</td></tr><tr><td>ASTON</td><td>87</td><td>NP B292 693</td><td>D. Aston et al.</td><td>(SLAC, NAGO, CINC, INUS)</td></tr></table>

$K_4^*(2045)$

$$I(J^P) = \frac{1}{2}(4^+)$$

$K_4^*(2045)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>2048<sup>+</sup> 8 OUR AVERAGE</strong></td></tr><tr><td>2090 ± 9<sup>+11</sup><sub>-29</sub></td><td>183k</td><td>ABLIKIM</td><td>19AQ BES</td><td>±</td><td>J/ψ → K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td></tr><tr><td>2062 ± 14 ± 13</td><td></td><td>1 ASTON</td><td>86 LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>2039 ± 10</td><td>400</td><td>2,3 CLELAND</td><td>82 SPEC</td><td>±</td><td>50 K<sup>+</sup> p → K<sup>0</sup>S π<sup>±</sup> p</td></tr><tr><td>2070 ± 100<sup>-40</sup></td><td></td><td>4 ASTON</td><td>81C LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr></tbody></table>

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

<table><tr><td>2079 ± 7</td><td>431</td><td>TORRES</td><td>86</td><td>MPSF</td><td>400 pA → 4KX</td></tr><tr><td>2088 ± 20</td><td></td><td>BAUBILLIER</td><td>82</td><td>HBC</td><td>-</td></tr><tr><td>2115 ± 46</td><td>488</td><td>CARMONY</td><td>77</td><td>HBC</td><td>0</td><td>9 K<sup>+</sup> d → K<sup>+</sup> π's X</td></tr></table>

¹From a fit to all moments.

²From a fit to 8 moments.

³Number of events evaluated by us.

⁴From energy-independent partial-wave analysis.

$K_4^*(2045)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>199<sup>+</sup> 27 OUR AVERAGE</strong></td></tr><tr><td>201 ± 19<sup>+57</sup><sub>-17</sub></td><td>183k</td><td>ABLIKIM</td><td>19AQ BES</td><td>±</td><td>J/ψ → K<sup>+</sup> K<sup>-</sup> π<sup>0</sup></td></tr><tr><td>221 ± 48 ± 27</td><td></td><td>5 ASTON</td><td>86 LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>189 ± 35</td><td>400</td><td>6,7 CLELAND</td><td>82 SPEC</td><td>±</td><td>50 K<sup>+</sup> p → K<sup>0</sup>S π<sup>±</sup> p</td></tr></tbody></table>

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

<table><tr><td>61 ± 58</td><td>431</td><td>TORRES</td><td>86</td><td>MPSF</td><td>400 pA → 4KX</td></tr><tr><td>170<sup>+</sup> 100<sup>-50</sup></td><td>650</td><td>BAUBILLIER</td><td>82</td><td>HBC</td><td>-</td><td>8.25 K<sup>-</sup> p → K<sup>0</sup>S π<sup>-</sup> p</td></tr><tr><td>240<sup>+</sup> 500<sup>-100</sup></td><td></td><td>8 ASTON</td><td>81C LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr><tr><td>300 ± 200</td><td></td><td>CARMONY</td><td>77</td><td>HBC</td><td>0</td><td>9 K<sup>+</sup> d → K<sup>+</sup> π's X</td></tr></table>

⁵From a fit to all moments.

⁶From a fit to 8 moments.

⁷Number of events evaluated by us.

⁸From energy-independent partial-wave analysis.

$K_4^*(2045)$ 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> Kπ</td><td>(9.9 ± 1.2) %</td></tr><tr><td>Γ<sub>2</sub> K*(892)ππ</td><td>(9 ± 5) %</td></tr><tr><td>Γ<sub>3</sub> K*(892)πππ</td><td>(7 ± 5) %</td></tr><tr><td>Γ<sub>4</sub> ρKπ</td><td>(5.7 ± 3.2) %</td></tr><tr><td>Γ<sub>5</sub> ωKπ</td><td>(5.0 ± 3.0) %</td></tr><tr><td>Γ<sub>6</sub> φKπ</td><td>(2.8 ± 1.4) %</td></tr><tr><td>Γ<sub>7</sub> φK*(892)</td><td>(1.4 ± 0.7) %</td></tr></tbody></table>

$K_4^*(2045)$ BRANCHING RATIOS

<table><tr><td>Γ(Kπ)/Γ<sub>total</sub></td><td>Γ<sub>1</sub>/Γ</td></tr><tr><td>VALUE</td><td></td></tr><tr><td>0.099 ± 0.012</td><td>ASTON</td><td>88</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup> π<sup>+</sup> n</td></tr></table>

<table><tr><td>Γ(K*(892)ππ)/Γ(Kπ)</td><td>Γ<sub>2</sub>/Γ<sub>1</sub></td></tr><tr><td>VALUE</td><td></td></tr><tr><td>0.89 ± 0.53</td><td>BAUBILLIER</td><td>82</td><td>HBC</td><td>-</td><td>8.25 K<sup>-</sup> p → pK<sup>0</sup>S 3π</td></tr></table>

<table><tr><td>Γ(K*(892)πππ)/Γ(Kπ)</td><td>Γ<sub>3</sub>/Γ<sub>1</sub></td></tr><tr><td>VALUE</td><td></td></tr><tr><td>0.75 ± 0.49</td><td>BAUBILLIER</td><td>82</td><td>HBC</td><td>-</td><td>8.25 K<sup>-</sup> p → pK<sup>0</sup>S 3π</td></tr></table>

<table><tr><td>Γ(ρKπ)/Γ(Kπ)</td><td>Γ<sub>4</sub>/Γ<sub>1</sub></td></tr><tr><td>VALUE</td><td></td></tr><tr><td>0.58 ± 0.32</td><td>BAUBILLIER</td><td>82</td><td>HBC</td><td>-</td><td>8.25 K<sup>-</sup> p → pK<sup>0</sup>S 3π</td></tr></table>

<table><tr><td>Γ(ωKπ)/Γ(Kπ)</td><td>Γ<sub>5</sub>/Γ<sub>1</sub></td></tr><tr><td>VALUE</td><td></td></tr><tr><td>0.50 ± 0.30</td><td>BAUBILLIER</td><td>82</td><td>HBC</td><td>-</td><td>8.25 K<sup>-</sup> p → pK<sup>0</sup>S 3π</td></tr></table>
# Meson Particle Listings

$K_4^*(2045)$, $K_2(2250)$, $K_3(2320)$, $K_5^*(2380)$, $K_4(2500)$

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

**VALUE**
0.028 ± 0.014

DOCUMENT ID
9 TORRES

TECN
86
MPSF

COMMENT
400 pA → 4K X

$\Gamma_6/\Gamma$

$\Gamma(\phi K^*(892))/\Gamma_{\text{total}}$

**VALUE**
0.014 ± 0.007

DOCUMENT ID
9 TORRES

TECN
86
MPSF

COMMENT
400 pA → 4K X

$\Gamma_7/\Gamma$

⁹ Error determination is model dependent.

## $K_4^*(2045)$ REFERENCES

ABLIKIM 19AQ PR D100 032004
ASTON 88 NP B296 493
ASTON 86 PL B180 308
TORRES 86 PR D34 707
BAUBILLIER 82 PL B118B 447
CLELAND 82 NP B208 189
ASTON 81C PL 106B 235
CARMYON 77 PR D16 1251

M. Ablikim et al. (BESIII Collab.)
D. Aston et al. (SLAC, NAGO, CINC, INUS)
D. Aston et al. (SLAC, NAGO, CINC, INUS)
S. Torres et al. (VPI, ARIZ, FNAL, FSU+)
M. Baubiller et al. (BIRM, CERN, GLAS+)
W.E. Cleland et al. (DURH, GEVA, LAUS+)
D. Aston et al. (SLAC, CARL, OTTA) JP
D.D. Carmony et al. (PURD, UCD, IUPU)

## $K_2(2250)$

$$I(J^P) = \frac{1}{2}(2^{-\nu})$$

### OMITTED FROM SUMMARY TABLE

This entry contains various peaks in strange meson systems reported in the 2150-2260 MeV region, as well as enhancements seen in the antihyperon-nucleon system, either in the mass spectra or in the $J^P = 2^-$ wave.

## $K_2(2250)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>2247 ± 17 OUR AVERAGE</strong></td></tr><tr><td>2200 ± 40</td><td></td><td>1 ARMSTRONG 83C</td><td>OMEG</td><td>-</td><td>18 K<sup>-</sup> p → Λπ<sup>-</sup>X</td></tr><tr><td>2235 ± 50</td><td></td><td>1 BAUBILLIER 81</td><td>HBC</td><td>-</td><td>8 K<sup>-</sup> p → Λπ<sup>-</sup>X</td></tr><tr><td>2260 ± 20</td><td></td><td>1 CLELAND 81</td><td>SPEC</td><td>±</td><td>50 K<sup>+</sup> p → Λπ<sup>+</sup>X</td></tr><tr><td colspan="6">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2280 ± 20</td><td></td><td>TIKHOMIROV 03</td><td>SPEC</td><td>40.0 K<sup>+</sup><sub>S</sub> K<sup>-</sup><sub>S</sub> K<sup>+</sup><sub>L</sub> K<sup>-</sup><sub>L</sub> X</td><td></td></tr><tr><td>2147 ± 4</td><td>37</td><td>CHLIAPNIK... 79</td><td>HBC</td><td>+</td><td>32 K<sup>+</sup> p → ΛpX</td></tr><tr><td>2240 ± 20</td><td>20</td><td>LISSAUER 70</td><td>HBC</td><td></td><td>9 K<sup>+</sup> p</td></tr></tbody></table>

1 $J^P = 2^-$ from moments analysis.

## $K_2(2250)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="6"><strong>180 ± 30 OUR AVERAGE</strong></td></tr><tr><td>150 ± 30</td><td></td><td colspan="5">Error Includes scale factor of 1.4.</td></tr><tr><td>210 ± 30</td><td></td><td>2 ARMSTRONG 83C</td><td>OMEG</td><td>-</td><td>18 K<sup>-</sup> p → Λπ<sup>-</sup>X</td></tr><tr><td></td><td></td><td>2 CLELAND 81</td><td>SPEC</td><td>±</td><td>50 K<sup>+</sup> p → Λπ<sup>+</sup>X</td></tr><tr><td colspan="6">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>180 ± 60</td><td></td><td>TIKHOMIROV 03</td><td>SPEC</td><td>40.0 K<sup>+</sup><sub>S</sub> K<sup>-</sup><sub>S</sub> K<sup>+</sup><sub>L</sub> K<sup>-</sup><sub>L</sub> X</td><td></td></tr><tr><td>~ 200</td><td></td><td>2 BAUBILLIER 81</td><td>HBC</td><td>-</td><td>8 K<sup>-</sup> p → Λπ<sup>-</sup>X</td></tr><tr><td>~ 40</td><td>37</td><td>CHLIAPNIK... 79</td><td>HBC</td><td>+</td><td>32 K<sup>+</sup> p → ΛpX</td></tr><tr><td>80 ± 20</td><td>20</td><td>LISSAUER 70</td><td>HBC</td><td></td><td>9 K<sup>+</sup> p</td></tr></tbody></table>

2 $J^P = 2^-$ from moments analysis.

## $K_2(2250)$ DECAY MODES

Mode

$\Gamma_1 \quad K\pi\pi$

$\Gamma_2 \quad K\pi^2(1270)$

$\Gamma_3 \quad K^*(892)\pi_0(980)$

$\Gamma_4 \quad \rho\bar{\Lambda}$

## $K_2(2250)$ REFERENCES

TIKHOMIROV 03 PAN 66 828
ARMSTRONG 83C NP B227 365
BAUBILLIER 81 NP B183 1
CLELAND 81 NP B184 1
CHLIAPNIK... 79 NP B158 253
LISSAUER 70 NP B18 491

G.D. Tikhomirov et al.
YAF 66 860.
T.A. Armstrong et al.
M. Baubiller et al.
W.E. Cleland et al.
P.V. Chliapnikov et al.
D. Lissauer et al.

(BARI, BIRM, CERN+)
(BIRM, CERN, GLAS+) JP
(PITT, GEVA, LAUS+) JP
(CERN, BELG, MONS)
(LBL)

## $K_3(2320)$

$$I(J^P) = \frac{1}{2}(3^+)^{-\nu}$$

### OMITTED FROM SUMMARY TABLE

Seen in the $J^P = 3^+$ wave of the antihyperon-nucleon system.
Needs confirmation.

## $K_3(2320)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>2324 ± 24 OUR AVERAGE</strong></td></tr><tr><td>2330 ± 40</td><td>1 ARMSTRONG 83C</td><td>OMEG</td><td>-</td><td>18 K<sup>-</sup> p → Λπ<sup>-</sup>X</td></tr><tr><td>2320 ± 30</td><td>1 CLELAND 81</td><td>SPEC</td><td>±</td><td>50 K<sup>+</sup> p → Λπ<sup>+</sup>X</td></tr><tr><td colspan="5">1 $J^P = 3^+$ from moments analysis.</td></tr></tbody></table>

## $K_3(2320)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>150 ± 30</td><td>2 ARMSTRONG 83C</td><td>OMEG</td><td>-</td><td>18 K<sup>-</sup> p → Λπ<sup>-</sup>X</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>~ 250</td><td>2 CLELAND 81</td><td>SPEC</td><td>±</td><td>50 K<sup>+</sup> p → Λπ<sup>+</sup>X</td></tr><tr><td colspan="5">2 $J^P = 3^+$ from moments analysis.</td></tr></tbody></table>

## $K_3(2320)$ DECAY MODES

Mode
$\Gamma_1 \quad \rho\bar{\Lambda}$

## $K_3(2320)$ REFERENCES

ARMSTRONG 83C NP B227 365
CLELAND 81 NP B184 1

T.A. Armstrong et al. (BARI, BIRM, CERN+)
W.E. Cleland et al. (PITT, GEVA, LAUS+)

## $K_5^*(2380)$

$$I(J^P) = \frac{1}{2}(5^{-\nu})$$

### OMITTED FROM SUMMARY TABLE

Needs confirmation.

## $K_5^*(2380)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>2382 ± 14 ± 19</td><td>1 ASTON 86</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup>π<sup>+</sup> n</td></tr><tr><td colspan="5">1 From a fit to all the moments.</td></tr></tbody></table>

## $K_5^*(2380)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>178 ± 37 ± 32</td><td>2 ASTON 86</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup>π<sup>+</sup> n</td></tr><tr><td colspan="5">2 From a fit to all the moments.</td></tr></tbody></table>

## $K_5^*(2380)$ DECAY MODES

Mode
$\Gamma_1 \quad K\pi$

Fraction ($\Gamma_1/\Gamma$)
(6.1 ± 1.2) %

## $K_5^*(2380)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(Kπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.061 ± 0.012</td><td>ASTON 88</td><td>LASS</td><td>0</td><td>11 K<sup>-</sup> p → K<sup>-</sup>π<sup>+</sup> n</td></tr></tbody></table>

## $K_5^*(2380)$ REFERENCES

ASTON 88 NP B296 493
ASTON 86 PL B180 308

D. Aston et al. (SLAC, NAGO, CINC, INUS)
D. Aston et al. (SLAC, NAGO, CINC, INUS)

## $K_4(2500)$

$$I(J^P) = \frac{1}{2}(4^{-\nu})$$

### OMITTED FROM SUMMARY TABLE

Needs confirmation.

## $K_4(2500)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>2490 ± 20</td><td>1 CLELAND 81</td><td>SPEC</td><td>±</td><td>50 K<sup>+</sup> p → Λπ<sup>-</sup></td></tr><tr><td colspan="5">1 $J^P = 4^-$ from moments analysis.</td></tr></tbody></table>

## $K_4(2500)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>~ 250</td><td>2 CLELAND 81</td><td>SPEC</td><td>±</td><td>50 K<sup>+</sup> p → Λπ<sup>-</sup></td></tr><tr><td colspan="5">2 $J^P = 4^-$ from moments analysis.</td></tr></tbody></table>
## $K_4(2500)$ DECAY MODES

<table><thead><tr><th>Mode</th><th></th></tr></thead><tbody><tr><td>$\Gamma_1 \quad \rho\bar{\pi}$</td><td></td></tr></tbody></table>

## $K_4(2500)$ REFERENCES

<table><tr><td>CLELAND</td><td>81</td><td>NP B184 1</td><td>W.E. Cleland et al.</td><td>(PITT, GEVA, LAUS+)</td></tr></table>

$$K(3100)$$

$$I^G(J^{PC}) = ?(?(???))$$

OMITTED FROM SUMMARY TABLE
also known as $K_j^? (3100)$

Narrow peak observed in several ($\Lambda\bar{\rho}$ + pions) and ($\Lambda\bar{\pi}$ + pions) states in $\Sigma^-$ Be reactions by BOURQUIN 86 and in $np$ and $nA$ reactions by ALEEV 93. Not seen by BOEHNLEIN 91. If due to strong decays, this state has exotic quantum numbers ($B=0, Q=+1, S=-1$ for $\Lambda\bar{\rho}\pi^+\pi^+$ and $l \ge 3/2$ for $\Lambda\bar{\rho}\pi^-$). Needs confirmation.

## $K(3100)$ 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>3-BODY DECAYS</strong></td></tr><tr><td colspan="4"><strong>3054 &plusmn; 11 OUR AVERAGE</strong></td></tr><tr><td>3060 &plusmn; 7 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup></td></tr><tr><td>3056 &plusmn; 7 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup></td></tr><tr><td>3055 &plusmn; 8 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup></td></tr><tr><td>3045 &plusmn; 8 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup></td></tr><tr><td colspan="4"><strong>4-BODY DECAYS</strong></td></tr><tr><td colspan="4"><strong>3059 &plusmn; 11 OUR AVERAGE</strong></td></tr><tr><td>3067 &plusmn; 6 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>+</sup></td></tr><tr><td>3060 &plusmn; 8 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>-</sup></td></tr><tr><td>3055 &plusmn; 7 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup>&pi;<sup>-</sup></td></tr><tr><td>3052 &plusmn; 8 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup>&pi;<sup>+</sup></td></tr></tbody></table>

<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>3059 &plusmn; 11 OUR AVERAGE</strong></td></tr><tr><td>3067 &plusmn; 6 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>+</sup></td></tr><tr><td>3060 &plusmn; 8 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>-</sup></td></tr><tr><td>3055 &plusmn; 7 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup>&pi;<sup>-</sup></td></tr><tr><td>3052 &plusmn; 8 &plusmn; 20</td><td>1 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup>&pi;<sup>+</sup></td></tr></tbody></table>

<table><thead><tr><th>• • •</th><th>• • •</th></tr></thead><tbody><tr><td>We do not use the following data for averages, fits, limits, etc.</td><td>We do not use the following data for averages, fits, limits, etc.</td></tr><tr><td>3105 &plusmn; 30</td><td>BOURQUIN 86 SPEC K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>+</sup></td></tr><tr><td>3115 &plusmn; 30</td><td>BOURQUIN 86 SPEC K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>-</sup></td></tr></tbody></table>

<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>5-BODY DECAYS</strong></td></tr><tr><td colspan="4"><strong>3095 &plusmn; 30</strong></td></tr><tr><td></td><td>BOURQUIN 86</td><td>SPEC K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>+</sup>&pi;<sup>-</sup></td><td></td></tr></tbody></table>

## $K(3100)$ WIDTH

<table><thead><tr><th colspan="5">3-BODY DECAYS</th></tr><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th></th></tr></thead><tbody><tr><td>42 &plusmn; 16</td><td>2 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup></td><td></td></tr><tr><td>36 &plusmn; 15</td><td>2 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup></td><td></td></tr><tr><td>50 &plusmn; 18</td><td>2 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup></td><td></td></tr><tr><td>30 &plusmn; 15</td><td>2 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup></td><td></td></tr></tbody></table>

<table><thead><tr><th colspan="5">4-BODY DECAYS</th></tr><tr><th>VALUE (MeV)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>22 &plusmn; 8</td><td>2 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>+</sup></td><td></td></tr><tr><td>28 &plusmn; 12</td><td>2 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>-</sup></td><td></td></tr><tr><td>32 &plusmn; 15</td><td>2 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup>&pi;<sup>-</sup></td><td></td></tr><tr><td>30 &plusmn; 15</td><td>2 ALEEV</td><td>93</td><td>BIS2 K(3100) &rarr; &Lambda;&rho;&pi;<sup>-</sup>&pi;<sup>+</sup></td><td></td></tr><tr><td>&lt;30</td><td>90</td><td>BOURQUIN</td><td>86 SPEC K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>+</sup></td><td></td></tr><tr><td>&lt;80</td><td>90</td><td>BOURQUIN</td><td>86 SPEC K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>-</sup></td><td></td></tr></tbody></table>

<table><thead><tr><th colspan="5">5-BODY DECAYS</th></tr><tr><th>VALUE (MeV)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>• • •</strong> We do not use the following data for averages, fits, limits, etc.</td></tr><tr><td>&lt;30</td><td>90</td><td>BOURQUIN</td><td>86 SPEC K(3100) &rarr; &Lambda;&rho;&pi;<sup>+</sup>&pi;<sup>+</sup>&pi;<sup>-</sup></td><td></td></tr><tr><td colspan="5"><sup>2</sup>Supersedes ALEEV 90.</td></tr></tbody></table>

## $K(3100)$ DECAY MODES

<table><thead><tr><th>Mode</th><th></th></tr></thead><tbody><tr><td>$\Gamma_1$</td><td>$K(3100)^0 \rightarrow \Lambda\bar{\rho}\pi^+$</td></tr><tr><td>$\Gamma_2$</td><td>$K(3100)^- \rightarrow \Lambda\bar{\rho}\pi^-$</td></tr><tr><td>$\Gamma_3$</td><td>$K(3100)^- \rightarrow \Lambda\bar{\rho}\pi^+\pi^-$</td></tr><tr><td>$\Gamma_4$</td><td>$K(3100)^+ \rightarrow \Lambda\bar{\rho}\pi^+\pi^+$</td></tr><tr><td>$\Gamma_5$</td><td>$K(3100)^0 \rightarrow \Lambda\bar{\rho}\pi^+\pi^+\pi^-$</td></tr><tr><td>$\Gamma_6$</td><td>$K(3100)^0 \rightarrow \Sigma(1385)^+\bar{\rho}$</td></tr></tbody></table>

<table><thead><tr><th colspan="4">$\Gamma(\Sigma(1385)^+\bar{\rho})/\Gamma(\Lambda\bar{\rho}\pi^+)$</th></tr><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.04</td><td>90</td><td>ALEEV</td><td>93</td><td>BIS2 K(3100)<sup>0</sup> &rarr; $\Sigma(1385)^+\bar{\rho}$</td></tr></tbody></table>

## $K(3100)$ REFERENCES

<table><tr><td>ALEEV</td><td>93</td><td>PAN 56 1358<br>Translated from YAF 56 100.</td><td>A.N. Akeev et al.</td><td>(BIS-2 Collab.)</td></tr><tr><td>BOEHNLEIN</td><td>91</td><td>NPBPS B21 174</td><td>A. Boehnlein et al.</td><td>(FLOR, BNL, IND+)</td></tr><tr><td>ALEEV</td><td>90</td><td>ZPHY C47 533</td><td>A.N. Akeev et al.</td><td>(BIS-2 Collab.)</td></tr><tr><td>BOURQUIN</td><td>86</td><td>PL B172 113</td><td>M.H. Bourquin et al.</td><td>(GEVA, RAL, HEIDP+)</td></tr></table>
## CHARMED MESONS
(C = ±1)

$D^{+} = c\bar{d}, D^{0} = c\bar{u}, D^{0} = c\bar{u}, D^{-} = c\bar{d},$ similarly for $D^{*}$'s

$D^{\pm}$

$$I(J^P) = \frac{1}{2}(0^{-})$$

### $D^{\pm}$ MASS

The fit includes $D^{\pm}, D^{0}, D_{S}^{\pm}, D^{*\pm}, D^{*0}, D_{S}^{*\pm}, D_{1}(2420)^{0}, D_{2}^{*}(2460)^{0}$, and $D_{S1}(2536)^{\pm}$ mass and mass difference measurements.

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>1869.66 ± 0.05 OUR FIT</strong></td></tr><tr><td colspan="5"><strong>1869.5 ± 0.4 OUR AVERAGE</strong></td></tr><tr><td>1869.53 ± 0.49 ± 0.20</td><td>110 ± 15</td><td>ANASHIN</td><td>10A KEDR</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr><tr><td>1870.0 ± 0.5 ± 1.0</td><td>317</td><td>BARLAG</td><td>90C ACCM</td><td>π<sup>-</sup>Cu 230 GeV</td></tr><tr><td>1869.4 ± 0.6</td><td></td><td><sup>1</sup>TRILLING</td><td>81 RVUE</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1875 ± 10</td><td>9</td><td>ADAMOVICH</td><td>87 EMUL</td><td>Photoproduction</td></tr><tr><td>1860 ± 16</td><td>6</td><td>ADAMOVICH</td><td>84 EMUL</td><td>Photoproduction</td></tr><tr><td>1863 ± 4</td><td></td><td>DERRICK</td><td>84 HRS</td><td>e<sup>+</sup>e<sup>-</sup> 29 GeV</td></tr><tr><td>1868.4 ± 0.5</td><td></td><td><sup>1</sup>SCHINDLER</td><td>81 MRK2</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>1874 ± 5</td><td></td><td>GOLDHABER</td><td>77 MRK1</td><td>D<sup>0</sup>, D<sup>+</sup> recoil spectra</td></tr><tr><td>1868.3 ± 0.9</td><td></td><td><sup>1</sup>PERUZZI</td><td>77 LGW</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr><tr><td>1874 ± 11</td><td></td><td>PICCOLO</td><td>77 MRK1</td><td>e<sup>+</sup>e<sup>-</sup> 4.03, 4.41 GeV</td></tr><tr><td>1876 ± 15</td><td>50</td><td>PERUZZI</td><td>76 MRK1</td><td>K<sup>∓</sup>π<sup>∓</sup>π<sup>∓</sup></td></tr></tbody></table>

¹PERUZZI 77 and SCHINDLER 81 errors do not include the 0.13% uncertainty in the absolute SPEAR energy calibration. TRILLING 81 uses the high precision J/ψ(1S) and ψ(2S) measurements of ZHOLENTZ 80 to determine this uncertainty and combines the PERUZZI 77 and SCHINDLER 81 results to obtain the value quoted.

### $D^{\pm}$ MEAN LIFE

Measurements with an error > $100 \times 10^{-15}$ s have been omitted from the Listings.

<table><thead><tr><th>VALUE (10<sup>-15</sup> s)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1033 ± 5 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>1030.4 ± 4.7 ± 3.1</td><td>171k</td><td><sup>1</sup>ABUDINEN</td><td>21A BEL2</td><td>e<sup>+</sup>e<sup>-</sup> at T(45)</td></tr><tr><td>1039.4 ± 4.3 ± 7.0</td><td>110k</td><td>LINK</td><td>02F FOCS</td><td>γ nucleus, ≈ 180 GeV</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1033.6 ± 22.1<sup>+9.9</sup><sub>-12.7</sub></td><td>3.7k</td><td>BONVICINI</td><td>99 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(45)</td></tr><tr><td>1048 ± 15 ± 11</td><td>9k</td><td>FRABETTI</td><td>94d E687</td><td>D<sup>+</sup> → K<sup>-</sup>π<sup>+</sup>π<sup>+</sup></td></tr><tr><td>1075 ± 40 ± 18</td><td>2.4k</td><td>FRABETTI</td><td>91 E687</td><td>γ Be, D<sup>+</sup> → K<sup>-</sup>π<sup>+</sup>π<sup>+</sup></td></tr><tr><td>1030 ± 80 ± 60</td><td>200</td><td>ALVAREZ</td><td>90 NA14</td><td>γ, D<sup>+</sup> → K<sup>-</sup>π<sup>+</sup>π<sup>+</sup></td></tr><tr><td>1050 <sup>+77</sup><sub>-72</sub></td><td>317</td><td><sup>2</sup>BARLAG</td><td>90c ACCM</td><td>π<sup>-</sup>Cu 230 GeV</td></tr><tr><td>1050 ± 80 ± 70</td><td>363</td><td>ALBRECHT</td><td>88i ARG</td><td>e<sup>+</sup>e<sup>-</sup> 10 GeV</td></tr><tr><td>1090 ± 30 ± 25</td><td>2.9k</td><td>RAAB</td><td>88 E691</td><td>Photoproduction</td></tr></tbody></table>

¹ABUDINEN 21A determines the lifetime ratio $\tau(D^{+})/\tau(D^{0}) = 2.510 \pm 0.013 \pm 0.007$.

²BARLAG 90C estimates the systematic error to be negligible.

### $D^{\pm}$ DECAY MODES

Most decay modes (other than the semileptonic modes) that involve a neutral $K$ meson are now given as $K_S^0$ modes, not as $\bar{K}^0$ modes. Nearly always it is a $K_S^0$ that is measured, and interference between Cabibbo-allowed and doubly Cabibbo-suppressed modes can invalidate the assumption that $2\Gamma(K_S^0) = \Gamma(\bar{K}^0)$.

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>i</sub>/Γ)</th><th>Scale factor/<br>Confidence level</th></tr></thead><tbody><tr><td colspan="3"><strong>Inclusive modes</strong></td></tr><tr><td>Γ<sub>1</sub> e<sup>+</sup> semileptonic</td><td>(16.07 ± 0.30) %</td><td></td></tr><tr><td>Γ<sub>2</sub> μ<sup>+</sup> anything</td><td>(17.6 ± 3.2) %</td><td></td></tr><tr><td>Γ<sub>3</sub> K<sup>-</sup> anything</td><td>(25.7 ± 1.4) %</td><td></td></tr><tr><td>Γ<sub>4</sub> K<sub>S</sub><sup>0</sup> anything</td><td>(33.1 ± 0.4) %</td><td></td></tr><tr><td>Γ<sub>5</sub> K<sup>+</sup> anything</td><td>(5.9 ± 0.8) %</td><td></td></tr><tr><td>Γ<sub>6</sub> K<sup>*</sup>(892)<sup>-</sup> anything</td><td>(6 ± 5) %</td><td></td></tr><tr><td>Γ<sub>7</sub> K<sup>*</sup>(892)<sup>0</sup> anything</td><td>(23 ± 5) %</td><td></td></tr><tr><td>Γ<sub>8</sub> K<sup>*</sup>(892)<sup>0</sup> anything</td><td>&lt; 6.6 %</td><td>CL=90%</td></tr><tr><td>Γ<sub>9</sub> η anything</td><td>(6.3 ± 0.7) %</td><td></td></tr><tr><td>Γ<sub>10</sub> η' anything</td><td>(1.04 ± 0.18) %</td><td></td></tr><tr><td>Γ<sub>11</sub> φ anything</td><td>(1.12 ± 0.04) %</td><td></td></tr><tr><td>Γ<sub>12</sub> π<sup>+</sup>π<sup>+</sup>π<sup>-</sup> anything</td><td>(15.25 ± 0.20) %</td><td></td></tr></tbody></table>

### Leptonic and semileptonic modes

<table><tbody><tr><td>Γ<sub>13</sub> e<sup>+</sup>ν<sub>e</sub></td><td>&lt; 8.8</td><td>× 10<sup>-6</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>14</sub> γe<sup>+</sup>ν<sub>e</sub></td><td>&lt; 3.0</td><td>× 10<sup>-5</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>15</sub> μ<sup>+</sup>ν<sub>μ</sub></td><td>(3.74 ± 0.17)</td><td>× 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>16</sub> τ<sup>+</sup>ν<sub>τ</sub></td><td>(1.20 ± 0.27)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>17</sub> K<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(8.72 ± 0.09)</td><td>%</td><td></td></tr><tr><td>Γ<sub>18</sub> K<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>(8.76 ± 0.19)</td><td>%</td><td></td></tr><tr><td>Γ<sub>19</sub> K<sup>-</sup>π<sup>+</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(4.02 ± 0.18)</td><td>%</td><td>S=3.2</td></tr><tr><td>Γ<sub>20</sub> K<sup>*</sup>(892)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub>, K<sup>*</sup>(892)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>(3.77 ± 0.17)</td><td>%</td><td></td></tr><tr><td>Γ<sub>21</sub> (K<sup>-</sup>π<sup>+</sup>) [0.8-1.0]GeV e<sup>+</sup>ν<sub>e</sub></td><td>(3.39 ± 0.09)</td><td>%</td><td></td></tr><tr><td>Γ<sub>22</sub> (K<sup>-</sup>π<sup>+</sup>)<sub>S-wave</sub> e<sup>+</sup>ν<sub>e</sub></td><td>(2.28 ± 0.11)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>23</sub> K<sup>*</sup>(1410)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub>, K<sup>*</sup>(1410)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>&lt; 6</td><td>× 10<sup>-3</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>24</sub> K<sup>*</sup><sub>2</sub>(1430)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub>, K<sup>*</sup><sub>2</sub>(1430)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>&lt; 5</td><td>× 10<sup>-4</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>25</sub> K<sup>-</sup>π<sup>+</sup> e<sup>+</sup>ν<sub>e</sub> nonresonant</td><td>&lt; 7</td><td>× 10<sup>-3</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>26</sub> K<sup>*</sup>(892)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(5.40 ± 0.10)</td><td>%</td><td>S=1.1</td></tr><tr><td>Γ<sub>27</sub> K<sup>-</sup>π<sup>+</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>(3.65 ± 0.34)</td><td>%</td><td></td></tr><tr><td>Γ<sub>28</sub> K<sup>*</sup>(892)<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub>, K<sup>*</sup>(892)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>(3.52 ± 0.10)</td><td>%</td><td></td></tr><tr><td>Γ<sub>29</sub> K<sup>-</sup>π<sup>+</sup> μ<sup>+</sup>ν<sub>μ</sub> nonresonant</td><td>(1.9 ± 0.5)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>30</sub> K<sup>*</sup>(892)<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>(5.27 ± 0.15)</td><td>%</td><td></td></tr><tr><td>Γ<sub>31</sub> K<sup>-</sup>π<sup>+</sup>π<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>&lt; 1.5</td><td>× 10<sup>-3</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>32</sub> K<sub>1</sub>(1270)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub>, K<sub>0</sub><sup>→</sup></td><td>(1.06 ± 0.15)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>33</sub> K<sup>*</sup><sub>0</sub>(1430)<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>&lt; 2.3</td><td>× 10<sup>-4</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>34</sub> K<sup>*</sup>(1680)<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>&lt; 1.5</td><td>× 10<sup>-3</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>35</sub> π<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(3.72 ± 0.17)</td><td>× 10<sup>-3</sup></td><td>S=2.0</td></tr><tr><td>Γ<sub>36</sub> π<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>(3.50 ± 0.15)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>37</sub> ηe<sup>+</sup>ν<sub>e</sub></td><td>(1.11 ± 0.07)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>38</sub> ημ<sup>+</sup>ν<sub>μ</sub></td><td>(1.04 ± 0.11)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>39</sub> π<sup>-</sup>π<sup>+</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(2.49 ± 0.11)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>40</sub> f<sub>0</sub>(500)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub>, f<sub>0</sub>(500)<sup>0</sup> → f<sub>0</sub>(980)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub>, a(980)<sup>0</sup> → ηπ<sup>0</sup></td><td>(6.4 ± 0.6)</td><td>× 10<sup>-4</sup></td><td>S=1.2</td></tr><tr><td>Γ<sub>41</sub> ρ<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>(1.90 ± 0.10)</td><td>× 10<sup>-3</sup></td><td>S=1.2</td></tr><tr><td>Γ<sub>42</sub> ρ<sup>0</sup> μ<sup>+</sup>ν<sub>μ</sub></td><td>(2.4 ± 0.4)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>43</sub> ωe<sup>+</sup>ν<sub>e</sub></td><td>(1.69 ± 0.11)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>44</sub> ωμ<sup>+</sup>ν<sub>μ</sub></td><td>(1.77 ± 0.21)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>45</sub> η'(958) e<sup>+</sup>ν<sub>e</sub></td><td>(2.0 ± 0.4)</td><td>× 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>46</sub> a(980)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub>, a(980)<sup>0</sup> → ηπ<sup>0</sup></td><td>(1.7 ± 0.8)</td><td>× 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>47</sub> b<sub>1</sub>(1235)<sup>0</sup> e<sup>+</sup>ν<sub>e</sub>, b<sub>1</sub><sup>→</sup> ωπ<sup>0</sup></td><td>&lt; 1.75</td><td>× 10<sup>-4</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>48</sub> φe<sup>+</sup>ν<sub>e</sub></td><td>&lt; 1.3</td><td>× 10<sup>-5</sup></td><td>CL=90%</td></tr><tr><td>Γ<sub>49</sub> D<sup>0</sup> e<sup>+</sup>ν<sub>e</sub></td><td>&lt; 1.0</td><td>× 10<sup>-4</sup></td><td>CL=90%</td></tr></tbody></table>

### Hadronic modes with a $\bar{K}$ or $\bar{K}K\bar{K}$

<table><tbody><tr><td>Γ<sub>50</sub> K<sup>0</sup>π<sup>+</sup></td><td>(1.562 ± 0.031) %</td><td>S=1.7</td></tr><tr><td>Γ<sub>51</sub> K<sup>0</sup>Lπ<sup>+</sup></td><td>(1.46 ± 0.05) %</td><td></td></tr><tr><td>Γ<sub>52</sub> K<sup>-</sup>2π<sup>+</sup></td><td>[a] (9.38 ± 0.16) %</td><td>S=1.6</td></tr><tr><td>Γ<sub>53</sub> (K<sup>-</sup>π<sup>+</sup>)<sub>S-wave</sub> π<sup>+</sup></td><td>(7.52 ± 0.17) %</td><td></td></tr><tr><td>Γ<sub>54</sub> K<sup>*</sup><sub>0</sub>(700)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup><sub>0</sub><sup>→</sup></td><td></td><td></td></tr><tr><td>Γ<sub>55</sub> K<sup>-</sup>π<sup>+</sup>, K<sup>0</sup>(1430)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup><sub>0</sub>(1430)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>[b] (1.25 ± 0.06) %</td><td></td></tr><tr><td>Γ<sub>56</sub> K<sup>*</sup>(892)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>(892)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>(1.04 ± 0.12) %</td><td></td></tr><tr><td>Γ<sub>57</sub> K<sup>-</sup>π<sup>+</sup>, K<sup>0</sup>(1410)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>0 → not seen</td><td></td><td></td></tr><tr><td>Γ<sub>58</sub> K<sup>*</sup><sub>2</sub>(1430)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup><sub>2</sub>(1430)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>[b] (2.3 ± 0.7) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>59</sub> K<sup>*</sup>(1680)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>(1680)<sup>0</sup> → K<sup>-</sup>π<sup>+</sup></td><td>[b] (2.2 ± 1.1) × 10<sup>-4</sup></td><td></td></tr><tr><td>Γ<sub>60</sub> K<sup>-</sup>(2π<sup>+</sup>)<sub>I=2</sub></td><td>(1.45 ± 0.26) %</td><td></td></tr><tr><td>Γ<sub>61</sub> K<sup>-</sup>2π<sup>+</sup> nonresonant</td><td></td><td></td></tr><tr><td>Γ<sub>62</sub> K<sup>0</sup>Sπ<sup>+</sup>π<sup>0</sup></td><td>[a] (7.36 ± 0.20) %</td><td></td></tr><tr><td>Γ<sub>63</sub> K<sup>0</sup>Sρ<sup>+</sup></td><td>(6.14 ± 0.60)</td><td>%</td><td></td></tr><tr><td>Γ<sub>64</sub> K<sup>0</sup>Sρ(1450)<sup>+</sup>, ρ<sup>+</sup> → π<sup>+</sup>π<sup>0</sup></td><td>(1.5 ± 1.2)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>65</sub> K<sup>*</sup>(892)<sup>0</sup> π<sup>+</sup>, K<sup>*</sup>(892)<sup>0</sup> → K<sup>0</sup>Sπ<sup>0</sup></td><td>(2.64 ± 0.32)</td><td>× 10<sup>-3</sup></td><td></td></tr><tr><td>Γ<sub>66</sub> K<sup>0</sup>Sπ<sup>0</sup></td><td>(2.7 ± 0.9)</td><td>× 10<sup>-3</sup></td><td></td></tr></tbody></table>
$$
\begin{array}{l}
\Gamma_{67} \quad \bar{K}_0^*(1680)^0 \pi^+, \bar{K}_0^0 \to \\
\qquad \qquad K_S^0 \pi^0 \qquad \qquad (10 \quad \pm \frac{7}{-10}) \times 10^{-4}
\end{array}
$$

$$
\Gamma_{68} \quad \bar{\pi}^0 \pi^+, \bar{\pi}^0 \to K_S^0 \pi^0 \quad (6 \quad \pm \frac{5}{-4}) \times 10^{-3}
$$

$$
\Gamma_{69} \quad K_S^0 \pi^+ \pi^0 \text{ nonresonant} \quad (3 \quad \pm \ 4) \times 10^{-3}
$$

$$
\Gamma_{70} \quad K_S^0 \pi^+ \pi^0 \text{ nonresonant and} \\
\qquad \qquad \bar{K}^0 \pi^+ \qquad (1.37 \quad \pm \frac{0.21}{-0.40}) \%
$$

$$
\Gamma_{71} \quad (K_S^0 \pi^0)_S \text{ wave } \pi^+ \quad (1.27 \quad \pm \frac{0.27}{-0.33}) \%
$$

$$
\Gamma_{72} \quad K_S^0 \pi^+ \omega \quad (7.1 \pm 0.5) \times 10^{-3}
$$

$$
\Gamma_{73} \quad K_S^0 \pi^+ \eta \quad (1.31 \pm 0.05) \%
$$

$$
\Gamma_{74} \quad K_S^0 \pi^+ \eta'(958) \quad (1.90 \pm 0.21) \times 10^{-3}
$$

$$
\Gamma_{75} \quad K^- 2\pi^+ \pi^0 \quad [c] \quad (6.25 \pm 0.18) \%
$$

$$
\Gamma_{76} \quad K_S^0 2\pi^+ \pi^- \quad [c] \quad (3.10 \pm 0.09) \%
$$

$$
\Gamma_{77} \quad K_S^0 \pi^+ 2\pi^0 \quad (2.89 \pm 0.09) \%
$$

$$
\Gamma_{78} \quad K_S^0 a_1(1260)^+, a_1^+ \to \rho(770)^+ \pi^0 \quad (8.7 \pm 1.6) \times 10^{-3}
$$

$$
\Gamma_{79} \quad K_S^0 a_1(1260)^+, a_1^+ \to \quad (1.0 \pm 0.6) \times 10^{-3}
$$

$$
\Gamma_{80} \quad \bar{K}_1(1400)^0 \pi^+, \bar{K}_1^0 \to \quad (2.3 \pm 0.4) \times 10^{-3}
$$

$$
\Gamma_{81} \quad \bar{K}^*(892)^0 \rho^+, \bar{K}^0 \to K_S^0 \pi^0 \quad (9.7 \pm 0.9) \times 10^{-3}
$$

$$
\Gamma_{82} \quad \bar{K}^*(892)^0 \pi^+ \pi^0 \text{ non-resonant,} \quad (2.6 \pm 0.7) \times 10^{-3}
$$

$$
\Gamma_{83} \quad K_S^0 \rho^+ \pi^0 \text{ non-resonant} \quad (4.8 \pm 0.5) \times 10^{-3}
$$

$$
\Gamma_{84} \quad K^- 2\pi^+ \eta \quad (1.35 \pm 0.12) \times 10^{-3}
$$

$$
\Gamma_{85} \quad K_S^0 \pi^+ \pi^0 \eta \quad (1.22 \pm 0.25) \times 10^{-3}
$$

$$
\Gamma_{86} \quad K^- 3\pi^+ \pi^- \quad [a] \quad (5.7 \pm 0.5) \times 10^{-3}
$$

$$
\Gamma_{87} \quad \bar{K}^*(892)^0 2\pi^+ \pi^-, \quad (1.2 \pm 0.4) \times 10^{-3}
$$

$$
\Gamma_{88} \quad \bar{K}^*(892)^0 \to K^- \pi^+ \quad (2.3 \pm 0.4) \times 10^{-3}
$$

$$
\Gamma_{89} \quad \bar{K}^*(892)^0 a_1(1260)^+ \quad [d] \quad (9.3 \pm 1.9) \times 10^{-3}
$$

$$
\Gamma_{90} \quad \bar{K}^*(892)^0 2\pi^+ \pi^- \text{ non-}\rho, \quad (1.72 \pm 0.28) \times 10^{-3}
$$

$$
\Gamma_{91} \quad K^- \rho^0 2\pi^+ \quad (4.0 \pm 2.9) \times 10^{-4}
$$

$$
\Gamma_{92} \quad K^- 3\pi^+ \pi^- \text{ nonresonant} \quad (4.95 \pm 0.32) \times 10^{-3}
$$

$$
\Gamma_{93} \quad K_S^0 2\pi^+ \pi^- \pi^0 \quad (1.53 \pm 0.08) \%
$$

$$
\Gamma_{94} \quad K_S^0 \pi^+ 3\pi^0 \quad (5.5 \pm 0.5) \times 10^{-3}
$$

$$
\Gamma_{95} \quad K^- 2\pi^+ 2\pi^0 \quad (4.95 \pm 0.32) \times 10^{-3}
$$

$$
\Gamma_{96} \quad K^+ 2 K_S^0 \quad (2.54 \pm 0.13) \times 10^{-3}
$$

$$
\Gamma_{97} \quad K^+ K^- K_S^0 \pi^+ \quad (2.4 \pm 0.5) \times 10^{-4}
$$

Pionic modes

$$
\Gamma_{98} \quad \pi^+ \pi^0 \quad (1.247 \pm 0.033) \times 10^{-3}
$$

$$
\Gamma_{99} \quad 2\pi^+ \pi^- \quad (3.27 \pm 0.09) \times 10^{-3}
$$

$$
\Gamma_{100} \quad \rho^0 \pi^+ \quad (8.4 \pm 0.8) \times 10^{-4}
$$

$$
\Gamma_{101} \quad \pi^+(\pi^+ \pi^-)_S \text{ wave} \quad (2.01 \pm 0.06) \times 10^{-3}
$$

$$
\Gamma_{102} \quad \sigma \pi^+, \sigma \to \pi^+ \pi^- \quad (1.38 \pm 0.10) \times 10^{-3}
$$

$$
\Gamma_{103} \quad f_0(980) \pi^+, f_0 \to \pi^+ \pi^- \quad (1.57 \pm 0.32) \times 10^{-4}
$$

$$
\Gamma_{104} \quad f_0(1370) \pi^+, f_0 \to \pi^+ \pi^- \quad (8 \pm 4) \times 10^{-5}
$$

$$
\Gamma_{105} \quad \omega \pi^+, \omega \to \pi^+ \pi^- \quad (3.4 \pm 0.5) \times 10^{-6}
$$

$$
\Gamma_{106} \quad f_2(1270) \pi^+, f_2 \to \pi^+ \pi^- \quad (4.58 \pm 0.28) \times 10^{-4}
$$

$$
\Gamma_{107} \quad \rho(1450)^0 \pi^+, \rho^0 \to \pi^+ \pi^- \quad (1.8 \pm 0.5) \times 10^{-4}
$$

$$
\Gamma_{108} \quad \rho(1700)^0 \pi^+, \rho^0 \to \pi^+ \pi^- \quad (1.9 \pm 0.5) \times 10^{-4}
$$

$$
\Gamma_{109} \quad f_0(1500) \pi^+, f_0 \to \pi^+ \pi^- \quad (1.1 \pm 0.4) \times 10^{-4}
$$

$$
\Gamma_{110} \quad f_0(1710) \pi^+, f_0 \to \pi^+ \pi^- \quad < 5 \times 10^{-5}
$$

$$
\Gamma_{111} \quad f_0(1790) \pi^+, f_0 \to \pi^+ \pi^- \quad < 7 \times 10^{-5}
$$

$$
\Gamma_{112} \quad (\pi^+ \pi^-)_S \text{ wave } \pi^- \quad < 1.2 \times 10^{-4}
$$

$$
\Gamma_{113} \quad 2\pi^+ \pi^- \text{ nonresonant} \quad < 1.1 \times 10^{-4}
$$

$$
\Gamma_{114} \quad \pi^+ 2\pi^0 \quad (4.61 \pm 0.15) \times 10^{-3}
$$

$$
\Gamma_{115} \quad 2\pi^+ \pi^- \pi^0 \quad (1.165 \pm 0.030) \%
$$

$$
\Gamma_{116} \quad \pi^+ 3\pi^0 \quad (4.17 \pm 0.26) \times 10^{-3}
$$

$$
\Gamma_{117} \quad \pi^+ 4\pi^0 \quad (1.9 \pm 0.4) \times 10^{-3}
$$

$$
\Gamma_{118} \quad 2\pi^+ \pi^- 2\pi^0 \quad (1.07 \pm 0.05) \%
$$

$$
\Gamma_{119} \quad 3\pi^+ 2\pi^- \quad (1.66 \pm 0.16) \times 10^{-3}
$$

$$
\Gamma_{120} \quad 2\pi^+ \pi^- 3\pi^0 \quad (3.42 \pm 0.35) \times 10^{-3}
$$

$$
\Gamma_{121} \quad 3\pi^+ 2\pi^- \pi^0 \quad (2.34 \pm 0.27) \times 10^{-3}
$$

$$
\Gamma_{122} \quad \eta \pi^+ \quad (3.77 \pm 0.09) \times 10^{-3}
$$

$$
\Gamma_{123} \quad \eta \pi^+ \pi^0 \quad (2.05 \pm 0.35) \times 10^{-3}
$$

$$
\Gamma_{124} \quad \eta 2\pi^+ \pi^- \quad (3.41 \pm 0.20) \times 10^{-3}
$$

$$
\Gamma_{125} \quad \eta \pi^+ 2\pi^0 \quad (3.20 \pm 0.33) \times 10^{-3}
$$

$$
\Gamma_{126} \quad \eta \pi^+ 3\pi^0 \quad (2.9 \pm 0.5) \times 10^{-3}
$$

CL=95%

CL=95%

CL=95%

CL=95%

S=1.1

S=2.2

$$
\Gamma_{127} \quad \eta 2\pi^+ \pi^- \pi^0 \quad (3.88 \pm 0.34) \times 10^{-3}
$$

$$
\Gamma_{128} \quad \eta \eta \pi^+ \quad (2.96 \pm 0.26) \times 10^{-3}
$$

$$
\Gamma_{129} \quad \omega \pi^+ \quad (2.8 \pm 0.6) \times 10^{-4}
$$

$$
\Gamma_{130} \quad \omega \pi^+ \pi^0 \quad (3.9 \pm 0.9) \times 10^{-3}
$$

$$
\Gamma_{131} \quad \eta'(958) \pi^+ \quad (4.97 \pm 0.19) \times 10^{-3}
$$

$$
\Gamma_{132} \quad \eta'(958) \pi^+ \pi^0 \quad (1.6 \pm 0.5) \times 10^{-3}
$$

Hadronic modes with a K̄K pair

$$
\Gamma_{133} \quad K_S^0 K^+ \quad (3.04 \pm 0.09) \times 10^{-3}
$$

$$
\Gamma_{134} \quad K_S^0 K^+ \quad (3.21 \pm 0.16) \times 10^{-3}
$$

$$
\Gamma_{135} \quad K_S^0 K^+ \pi^0 \quad (5.07 \pm 0.30) \times 10^{-3}
$$

$$
\Gamma_{136} \quad K^*(892)^+ K_S^0, K^{*+} \to \quad (2.89 \pm 0.30) \times 10^{-3}
$$

$$
\Gamma_{137} \quad \bar{K}^*(892)^0 K^+, \bar{K}^{*0} \to K_S^0 \pi^0 \quad (5.2 \pm 1.4) \times 10^{-4}
$$

$$
\Gamma_{138} \quad K^*(892)^+ K_S^0 \quad (5.24 \pm 0.31) \times 10^{-3}
$$

$$
\Gamma_{140} \quad K^+ K^- \pi^+ \quad [a] \quad (9.68 \pm 0.18) \times 10^{-3}
$$

$$
\Gamma_{141} \quad K^+ \bar{K}^*(892)^0, \quad (2.49 \pm 0.08) \times 10^{-3}
$$

$$
\Gamma_{142} \quad K^+ \bar{K}^0(1430)^0, \bar{K}^0(1430)^0 \to \quad (1.82 \pm 0.35) \times 10^{-3}
$$

$$
\Gamma_{143} \quad K^+ \bar{K}^2(1430)^0, \bar{K}^2 \to \quad (1.6 \pm 0.8) \times 10^{-4}
$$

$$
\Gamma_{144} \quad K^+ \bar{K}^0(700), \bar{K}^0 \to K^- \pi^+ \quad (6.8 \pm 3.5) \times 10^{-4}
$$

$$
\Gamma_{145} \quad a_0(1450)^0 \pi^+, a_0^0 \to K^+ K^- \quad (4.5 \pm 7.0) \times 10^{-4}
$$

$$
\Gamma_{146} \quad \phi(1680) \pi^+, \phi \to K^+ K^- \quad (4.9 \pm 4.0) \times 10^{-5}
$$

$$
\Gamma_{147} \quad \phi \pi^+, \phi \to K^+ K^- \quad (2.69 \pm 0.07) \times 10^{-3}
$$

$$
\Gamma_{148} \quad \phi \pi^+ \quad (5.70 \pm 0.14) \times 10^{-3}
$$

$$
\Gamma_{149} \quad K^+ K^- \pi^+ \pi^0 \quad (6.62 \pm 0.32) \times 10^{-3}
$$

$$
\Gamma_{150} \quad K_S^0 K_S^0 \pi^+ \quad (2.70 \pm 0.13) \times 10^{-3}
$$

$$
\Gamma_{151} \quad K_S^0 K_S^0 \pi^+ \pi^0 \quad (1.34 \pm 0.21) \times 10^{-3}
$$

$$
\Gamma_{152} \quad K_S^0 K^+ \eta \quad (1.8 \pm 0.5) \times 10^{-4}
$$

$$
\Gamma_{153} \quad K^+ K_S^0 \pi^+ \pi^- \quad (1.89 \pm 0.13) \times 10^{-3}
$$

$$
\Gamma_{154} \quad K_S^0 K^+ \pi^0 \pi^0 \quad (5.8 \pm 1.3) \times 10^{-4}
$$

$$
\Gamma_{155} \quad K_S^0 K^- 2\pi^+ \quad (2.27 \pm 0.13) \times 10^{-3}
$$

$$
\Gamma_{156} \quad K^+ K^- 2\pi^+ \pi^- \quad (2.3 \pm 1.2) \times 10^{-4}
$$

S=2.2

A few poorly measured branching fractions:

$$
\Gamma_{157} \quad \phi \pi^+ \pi^0 \quad (2.3 \pm 1.0) \%
$$

$$
\Gamma_{158} \quad \phi \rho^+ \quad < 1.5 \quad \%
$$

$$
\Gamma_{159} \quad K^+ K^- \pi^+ \pi^0 \text{ non-}\phi \quad (1.5 \pm 0.6) \%
$$

Doubly Cabibbo-suppressed modes

$$
\Gamma_{160} \quad K^+ \pi^0 \quad (2.08 \pm 0.21) \times 10^{-4} \quad S=1.4
$$

$$
\Gamma_{161} \quad K^+ \eta \quad (1.25 \pm 0.16) \times 10^{-4} \quad S=1.1
$$

$$
\Gamma_{162} \quad K^+ \eta'(958) \quad (1.85 \pm 0.20) \times 10^{-4}
$$

$$
\Gamma_{163} \quad K^+ 2\pi^0 \quad (2.1 \pm 0.4) \times 10^{-4}
$$

$$
\Gamma_{164} \quad K^*(892)^+ \pi^0 \quad (3.4 \pm 1.4) \times 10^{-4}
$$

$$
\Gamma_{165} \quad K^+ \pi^+ \pi^- \quad (4.91 \pm 0.09) \times 10^{-4}
$$

$$
\Gamma_{166} \quad K^+ \rho^0 \quad (1.9 \pm 0.5) \times 10^{-4}
$$

$$
\Gamma_{167} \quad K^+ \eta \pi^0 \quad (2.1 \pm 0.5) \times 10^{-4}
$$

$$
\Gamma_{168} \quad K^*(892)^0 \pi^+, K^*(892)^0 \to \quad (4.4 \pm 0.4) \times 10^{-4}
$$

$$
\Gamma_{170} \quad K^+ f_0(980), f_0(980) \to \quad (4.4 \pm 2.6) \times 10^{-5}
$$

$$
\Gamma_{171} \quad K_2^*(1430)^0 \pi^+, K_2^*(1430)^0 \to \quad (3.9 \pm 2.7) \times 10^{-5}
$$

$$
\Gamma_{172} \quad K^+ \pi^+ \pi^- \text{ nonresonant} \quad \text{not seen} \quad (1.21 \pm 0.09) \times 10^{-3}
$$

$$
\Gamma_{173} \quad K^+ \pi^+ \pi^- \pi^0 \quad (1.10 \pm 0.07) \times 10^{-3}
$$

$$
\Gamma_{174} \quad K^+ \pi^+ \pi^- \pi^0 \text{ nonresonant} \quad (5.7 \pm 2.5) \times 10^{-5}
$$

$$
\Gamma_{175} \quad K^+ \omega \quad (6.14 \pm 0.11) \times 10^{-5}
$$

$$
\Gamma_{176} \quad 2K^+ K^- \quad (6.14 \pm 0.11) \times 10^{-5}
$$

$$
\Gamma_{177} \quad \phi(1020)^0 K^+ \quad < 2.1 \times 10^{-5} \quad \text{CL=90\%}
$$

$$
\Gamma_{178} \quad K^+ \phi(1020), \phi \to K^+ K^- \quad (4.4 \pm 0.6) \times 10^{-6}
$$

$$
\Gamma_{179} \quad K^+(K^+ K^-) S\text{-wave} \quad (5.77 \pm 0.12) \times 10^{-5}
$$

$$
\Gamma_{180} \quad \pi^+ e^+ e^- \quad C1 \quad < 1.1 \times 10^{-6} \quad \text{CL=90\%}
$$

$$
\Gamma_{181} \quad \pi^+ \pi^0 e^+ e^- \quad < 1.4 \times 10^{-5} \quad \text{CL=90\%}
$$
# Meson Particle Listings

$D^{\pm}$

<table><tbody><tr><td>Γ<sub>182</sub></td><td>π<sup>+</sup>φ, φ → e<sup>+</sup>e<sup>-</sup></td><td>[e]</td><td>( 1.7 <sup>+1.4</sup><sub>-0.9</sub> ) × 10<sup>-6</sup></td></tr><tr><td>Γ<sub>183</sub></td><td>π<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>C1</td><td>&lt; 6.7</td><td>× 10<sup>-8</sup> CL=90%</td></tr><tr><td>Γ<sub>184</sub></td><td>π<sup>+</sup>φ, φ → μ<sup>+</sup>μ<sup>-</sup></td><td>[e]</td><td>( 1.8 ± 0.8 )</td><td>× 10<sup>-6</sup></td></tr><tr><td>Γ<sub>185</sub></td><td>ρ<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>C1</td><td>&lt; 5.6</td><td>× 10<sup>-4</sup> CL=90%</td></tr><tr><td>Γ<sub>186</sub></td><td>K<sup>+</sup>e<sup>+</sup>e<sup>-</sup></td><td>[f]</td><td>&lt; 8.5</td><td>× 10<sup>-7</sup> CL=90%</td></tr><tr><td>Γ<sub>187</sub></td><td>K<sup>+</sup>π<sup>0</sup>e<sup>+</sup>e<sup>-</sup></td><td></td><td>&lt; 1.5</td><td>× 10<sup>-5</sup> CL=90%</td></tr><tr><td>Γ<sub>188</sub></td><td>K<sup>0</sup>π<sup>+</sup>e<sup>+</sup>e<sup>-</sup></td><td></td><td>&lt; 2.6</td><td>× 10<sup>-5</sup> CL=90%</td></tr><tr><td>Γ<sub>189</sub></td><td>K<sup>0</sup><sub>S</sub>K<sup>+</sup>e<sup>+</sup>e<sup>-</sup></td><td></td><td>&lt; 1.1</td><td>× 10<sup>-5</sup> CL=90%</td></tr><tr><td>Γ<sub>190</sub></td><td>K<sup>+</sup>μ<sup>+</sup>μ<sup>-</sup></td><td>[f]</td><td>&lt; 5.4</td><td>× 10<sup>-8</sup> CL=90%</td></tr><tr><td>Γ<sub>191</sub></td><td>π<sup>+</sup>e<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>&lt; 2.1</td><td>× 10<sup>-7</sup> CL=90%</td></tr><tr><td>Γ<sub>192</sub></td><td>π<sup>+</sup>e<sup>-</sup>μ<sup>+</sup></td><td>LF</td><td>&lt; 2.2</td><td>× 10<sup>-7</sup> CL=90%</td></tr><tr><td>Γ<sub>193</sub></td><td>K<sup>+</sup>e<sup>+</sup>μ<sup>-</sup></td><td>LF</td><td>&lt; 7.5</td><td>× 10<sup>-8</sup> CL=90%</td></tr><tr><td>Γ<sub>194</sub></td><td>K<sup>+</sup>e<sup>-</sup>μ<sup>+</sup></td><td>LF</td><td>&lt; 1.0</td><td>× 10<sup>-7</sup> CL=90%</td></tr><tr><td>Γ<sub>195</sub></td><td>π<sup>-</sup>2e<sup>+</sup></td><td>L</td><td>&lt; 5.3</td><td>× 10<sup>-7</sup> CL=90%</td></tr><tr><td>Γ<sub>196</sub></td><td>π<sup>-</sup>2μ<sup>+</sup></td><td>L</td><td>&lt; 1.4</td><td>× 10<sup>-8</sup> CL=90%</td></tr><tr><td>Γ<sub>197</sub></td><td>π<sup>-</sup>e<sup>+</sup>μ<sup>+</sup></td><td>L</td><td>&lt; 1.3</td><td>× 10<sup>-7</sup> CL=90%</td></tr><tr><td>Γ<sub>198</sub></td><td>ρ<sup>-</sup>2μ<sup>+</sup></td><td>L</td><td>&lt; 5.6</td><td>× 10<sup>-4</sup> CL=90%</td></tr><tr><td>Γ<sub>199</sub></td><td>K<sup>-</sup>2e<sup>+</sup></td><td>L</td><td>&lt; 9</td><td>× 10<sup>-7</sup> CL=90%</td></tr><tr><td>Γ<sub>200</sub></td><td>K<sup>0</sup>π<sup>-</sup>2e<sup>+</sup></td><td></td><td>&lt; 3.3</td><td>× 10<sup>-6</sup> CL=90%</td></tr><tr><td>Γ<sub>201</sub></td><td>K<sup>-</sup>π<sup>0</sup>2e<sup>+</sup></td><td></td><td>&lt; 8.5</td><td>× 10<sup>-6</sup> CL=90%</td></tr><tr><td>Γ<sub>202</sub></td><td>K<sup>-</sup>2μ<sup>+</sup></td><td>L</td><td>&lt; 1.0</td><td>× 10<sup>-5</sup> CL=90%</td></tr><tr><td>Γ<sub>203</sub></td><td>K<sup>-</sup>e<sup>+</sup>μ<sup>+</sup></td><td>L</td><td>&lt; 1.9</td><td>× 10<sup>-6</sup> CL=90%</td></tr><tr><td>Γ<sub>204</sub></td><td>K<sup>*</sup>(892)<sup>-</sup>2μ<sup>+</sup></td><td>L</td><td>&lt; 8.5</td><td>× 10<sup>-4</sup> CL=90%</td></tr><tr><td>Γ<sub>205</sub></td><td>Λe<sup>+</sup></td><td>L,B</td><td>&lt; 1.1</td><td>× 10<sup>-6</sup> CL=90%</td></tr><tr><td>Γ<sub>206</sub></td><td>Λe<sup>+</sup></td><td>L,B</td><td>&lt; 6.5</td><td>× 10<sup>-7</sup> CL=90%</td></tr><tr><td>Γ<sub>207</sub></td><td>Σ<sup>0</sup>e<sup>+</sup></td><td>L,B</td><td>&lt; 1.7</td><td>× 10<sup>-6</sup> CL=90%</td></tr><tr><td>Γ<sub>208</sub></td><td>Σ<sup>0</sup>e<sup>+</sup></td><td>L,B</td><td>&lt; 1.3</td><td>× 10<sup>-6</sup> CL=90%</td></tr><tr><td>Γ<sub>209</sub></td><td>πe<sup>+</sup></td><td></td><td>&lt; 1.43</td><td>× 10<sup>-5</sup> CL=90%</td></tr><tr><td>Γ<sub>210</sub></td><td>ne<sup>+</sup></td><td></td><td>&lt; 2.91</td><td>× 10<sup>-5</sup> CL=90%</td></tr></tbody></table>

[a] The branching fraction for this mode may differ from the sum of the submodes that contribute to it, due to interference effects. See the relevant papers.

[b] These subfractions of the $K^{-}2\pi^{+}$ mode are uncertain: see the Particle Listings.

[c] See the listings under "D → Kπππ partial wave analyses" and our 2008 Review (Physics Letters B667 1 (2008)) for measurements of submodes of this mode.

[d] The unseen decay modes of the resonances are included.

[e] This is not a test for the $\Delta C=1$ weak neutral current, but leads to the $\pi^{+}\ell^{+}\ell^{-}$ final state.

[f] This mode is not a useful test for a $\Delta C=1$ weak neutral current because both quarks must change flavor in this decay.

## FIT INFORMATION

An overall fit to 33 branching ratios uses 43 measurements to determine 17 parameters. The overall fit has a $\chi^2 = 64.4$ for 26 degrees of freedom.

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

<table><tbody><tr><td>x<sub>19</sub></td><td>0</td></tr><tr><td>x<sub>26</sub></td><td>0</td></tr><tr><td>x<sub>30</sub></td><td>7</td><td>1</td><td>0</td></tr><tr><td>x<sub>39</sub></td><td>0</td><td>0</td><td>0</td><td>0</td></tr><tr><td>x<sub>41</sub></td><td>0</td><td>0</td><td>0</td><td>83</td></tr><tr><td>x<sub>50</sub></td><td>0</td><td>5</td><td>0</td><td>1</td><td>0</td><td>0</td></tr><tr><td>x<sub>52</sub></td><td>0</td><td>28</td><td>0</td><td>3</td><td>0</td><td>19</td></tr><tr><td>x<sub>86</sub></td><td>0</td><td>5</td><td>0</td><td>1</td><td>0</td><td>0</td><td>4</td><td>19</td></tr><tr><td>x<sub>98</sub></td><td>0</td><td>6</td><td>0</td><td>1</td><td>0</td><td>0</td><td>4</td><td>22</td><td>4</td></tr><tr><td>x<sub>119</sub></td><td>0</td><td>5</td><td>0</td><td>0</td><td>0</td><td>0</td><td>3</td><td>17</td><td>75</td><td>4</td></tr><tr><td>x<sub>122</sub></td><td>0</td><td>4</td><td>0</td><td>0</td><td>0</td><td>0</td><td>3</td><td>14</td><td>3</td><td>3</td></tr><tr><td>x<sub>131</sub></td><td>0</td><td>5</td><td>0</td><td>1</td><td>0</td><td>0</td><td>4</td><td>19</td><td>4</td><td>4</td></tr><tr><td>x<sub>133</sub></td><td>0</td><td>9</td><td>0</td><td>1</td><td>0</td><td>0</td><td>29</td><td>31</td><td>6</td><td>7</td></tr><tr><td>x<sub>160</sub></td><td>0</td><td>1</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1</td><td>5</td><td>1</td><td>1</td></tr><tr><td>x<sub>161</sub></td><td>0</td><td>1</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>0</td></tr><tr><td>x<sub>162</sub></td><td>0</td><td>2</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1</td><td>6</td><td>1</td><td>1</td></tr><tr><td>x<sub>18</sub></td><td>x<sub>19</sub></td><td>x<sub>26</sub></td><td>x<sub>30</sub></td><td>x<sub>39</sub></td><td>x<sub>41</sub></td><td>x<sub>50</sub></td><td>x<sub>52</sub></td><td>x<sub>86</sub></td><td>x<sub>98</sub></td></tr></tbody></table>

<figure><img src="image_535.png" /></figure>

## D$^{+}$ BRANCHING RATIOS

Some now-obsolete measurements have been omitted from these Listings.

### c-quark decays

#### $\Gamma(c \to e^{+} \text{anything})/\Gamma(c \to \text{anything})$

For the Summary Table, we only use the average of $e^{+}$ and $\mu^{+}$ measurements from $Z^{0} \to c\bar{c}$ decays; see the second data block below.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.103±0.009<sup>+0.009</sup><sub>-0.008</sub></td><td>378</td><td>1 ABBIENDI</td><td>99K</td><td>OPAL Z<sup>0</sup> → c<span style="text-decoration: overline">c</span></td></tr></tbody></table>

1. ABBIENDI 99K uses the excess of right-sign over wrong-sign leptons opposite reconstructed $D^{*}(2010)^{+} \to D^{0}\pi^{+}$ decays in $Z^{0} \to c\bar{c}$.

#### $\Gamma(c \to \mu^{+} \text{anything})/\Gamma(c \to \text{anything})$

For the Summary Table, we only use the average of $e^{+}$ and $\mu^{+}$ measurements from $Z^{0} \to c\bar{c}$ decays; see the next data block.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.082±0.005 OUR AVERAGE</td><td></td><td>KAYIS-TOPAK.05</td><td>CHRS</td><td>ν<sub>μ</sub> emulsion</td></tr><tr><td>0.073±0.008±0.002</td><td>73</td><td></td><td></td><td></td></tr><tr><td>0.095±0.007<sup>+0.014</sup><sub>-0.013</sub></td><td>2829</td><td>ASTIER</td><td>00D</td><td>NOMD ν<sub>μ</sub> Fe → μ<sup>-</sup>μ<sup>+</sup>X</td></tr><tr><td>0.090±0.007<sup>+0.007</sup><sub>-0.006</sub></td><td>476</td><td>1 ABBIENDI</td><td>99K</td><td>OPAL Z<sup>0</sup> → c<span style="text-decoration: overline">c</span></td></tr><tr><td>0.086±0.017<sup>+0.008</sup><sub>-0.007</sub></td><td>69</td><td>2 ALBRECHT</td><td>92F</td><td>ARG e<sup>+</sup>e<sup>-</sup> ≈ 10 GeV</td></tr><tr><td>0.078±0.009±0.012</td><td></td><td>ONG</td><td>88</td><td>MRK2 e<sup>+</sup>e<sup>-</sup> 29 GeV</td></tr><tr><td>0.078±0.015±0.02</td><td></td><td>BARTEL</td><td>87</td><td>JADE e<sup>+</sup>e<sup>-</sup> 34.6 GeV</td></tr><tr><td>0.082±0.012<sup>+0.02</sup><sub>-0.01</sub></td><td></td><td>ALTHOFF</td><td>84G</td><td>TASS e<sup>+</sup>e<sup>-</sup> 34.5 GeV</td></tr></tbody></table>

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

<table><tbody><tr><td>0.093±0.009±0.009</td><td>88</td><td>KAYIS-TOPAK.02</td><td>CHRS</td><td>See KAYIS-TOPAKSU 05</td></tr><tr><td>0.089±0.018±0.025</td><td></td><td>BARTEL</td><td>85J</td><td>JADE See BARTEL 87</td></tr></tbody></table>

1. ABBIENDI 99K uses the excess of right-sign over wrong-sign leptons opposite reconstructed $D^{*}(2010)^{+} \to D^{0}\pi^{+}$ decays in $Z^{0} \to c\bar{c}$.

2. ALBRECHT 92F uses the excess of right-sign over wrong-sign leptons in a sample of events tagged by fully reconstructed $D^{*}(2010)^{+} \to D^{0}\pi^{+}$ decays.

#### $\Gamma(c \to \ell^{+} \text{anything})/\Gamma(c \to \text{anything})$

This is an average (not a sum) of $e^{+}$ and $\mu^{+}$ measurements.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.096 ± 0.004 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.0958 ± 0.0042 ± 0.0028</td><td>1828</td><td>1 ABREU</td><td>000</td><td>DLPH Z<sup>0</sup> → c<span style="text-decoration: overline">c</span></td></tr><tr><td>0.095 ± 0.006<sup>+0.007</sup><sub>-0.006</sub></td><td>854</td><td>2 ABBIENDI</td><td>99K</td><td>OPAL Z<sup>0</sup> → c<span style="text-decoration: overline">c</span></td></tr></tbody></table>

1. ABREU 000 uses leptons opposite fully reconstructed $D^{*}(2010)^{+}$, $D^{+}$, or $D^{0}$ mesons.

2. ABBIENDI 99K uses the excess of right-sign over wrong-sign leptons opposite reconstructed $D^{*}(2010)^{+} \to D^{0}\pi^{+}$ decays in $Z^{0} \to c\bar{c}$.

#### $\Gamma(c \to D^{*}(2010)^{+} \text{anything})/\Gamma(c \to \text{anything})$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.255±0.015±0.008</td><td>2371</td><td>1 ABREU</td><td>000</td><td>DLPH Z<sup>0</sup> → c<span style="text-decoration: overline">c</span></td></tr></tbody></table>

1. ABREU 000 uses slow pions opposite fully reconstructed $D^{*}(2010)^{+}$, $D^{+}$, or $D^{0}$ mesons as a signal of $D^{*}(2010)^{-}$ production.

### Inclusive modes

#### $\Gamma(e^{+} \text{semileptonic})/\Gamma_{\text{total}} \quad \Gamma_1/\Gamma$

The sum of our $\bar{\Gamma}_1 e^{+} \nu_e$, $\bar{\Gamma}_1 e^{*}(892) e^{+} \nu_e$, $\pi^0 e^{+} \nu_e$, $\eta e^{+} \nu_e$, $\rho^0 e^{+} \nu_e$, and $\omega e^{+} \nu_e$ branching fractions is 15.3 ± 0.3%.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>16.07±0.30 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>16.13±0.10±0.29</td><td>26.2±0.2k</td><td>1 ASNER</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at 3774 MeV</td></tr><tr><td>15.2 ± 0.9 ± 0.8</td><td>521 ± 32</td><td>ABLIKIM</td><td>07G</td><td>BES2 e<sup>+</sup>e<sup>-</sup> ≈ ψ(3770)</td></tr></tbody></table>

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

<table><tbody><tr><td>16.13±0.20±0.33</td><td>8798±105</td><td>2 ADAM</td><td>06A</td><td>CLEO See ASNER 10</td></tr><tr><td>17.0 ±1.9 ± 0.7</td><td>158</td><td>BALTRUSAIT...85B</td><td>MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

1. Using the $D^{+}$ and $D^{0}$ lifetimes, ASNER 10 finds that the ratio of the $D^{+}$ and $D^{0}$ semileptonic widths is 0.985 ± 0.015 ± 0.024.

2. Using the $D^{+}$ and $D^{0}$ lifetimes, ADAM 06A finds that the ratio of the $D^{+}$ and $D^{0}$ inclusive $e^{+}$ widths is 0.985 ± 0.028 ± 0.015, consistent with the isospin-invariance prediction of 1.
$\Gamma(\mu^+ \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>17.6±2.7±1.8</td><td>100 ± 12</td><td>1 ABLIKIM</td><td>08L BES2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ ψ(3772)</td></tr></tbody></table>

¹ ABLIKIM 08L finds the ratio of $D^+ \to \mu^+ X$ and $D^0 \to \mu^+ X$ branching fractions to be 2.59 ± 0.70 ± 0.25, in accord with the ratio of $D^+ \to D^0$ lifetimes, 2.54 ± 0.02.

$\Gamma(K^- \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>25.7±1.4 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>24.7±1.3±1.2</td><td>631 ± 33</td><td>ABLIKIM</td><td>07G BES2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ ψ(3770)</td></tr><tr><td>27.8±3.6</td><td></td><td>BARLAG</td><td>92c ACCM</td><td>π<sup>-</sup> Cu 230 GeV</td></tr><tr><td>27.1±2.3±2.4</td><td></td><td>COFFMAN</td><td>91 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

$\Gamma(K_S^0 \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>33.11±0.13±0.36</td><td>95k</td><td>ABLIKIM</td><td>23AO BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

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

30.25 ± 2.75 ± 1.65 244 1 ABLIKIM 06u BES2 e<sup>+</sup>e<sup>-</sup> at 3773 MeV

30.6 ± 3.25 ± 2.15 2 COFFMAN 91 MRK3 e<sup>+</sup>e<sup>-</sup> 3.77 GeV

¹ ABLIKIM 06u reports $B(D^0 \to K^0 X \text{ or } \bar{K}^0 X) = (60.5 \pm 5.5 \pm 3.3) \times 10^{-2}$ which we take as twice the branching fraction for $D^+ \to K_S^0 X$.

² COFFMAN 91 reports $B(D^+ \to K^0 X \text{ or } \bar{K}^0 X) = (61.2 \pm 6.5 \pm 4.3) \times 10^{-2}$ which we take as twice the branching fraction for $D^+ \to K_S^0 X$.

$\Gamma(K^+ \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5.9±0.8 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>6.1±0.9±0.4</td><td>189 ± 27</td><td>ABLIKIM</td><td>07G BES2</td><td>e<sup>+</sup>e<sup>-</sup> ≈ ψ(3770)</td></tr><tr><td>5.5±1.3±0.9</td><td></td><td>COFFMAN</td><td>91 MRK3</td><td>e<sup>+</sup>e<sup>-</sup> 3.77 GeV</td></tr></tbody></table>

$\Gamma(K^*(892)^- \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5.7±5.2±0.7</td><td>7.2 ± 6.5</td><td>ABLIKIM</td><td>06u BES2</td><td>e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td></tr></tbody></table>

$\Gamma(K^*(892)^0 \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>23.2±4.5±3.0</td><td>189 ± 36</td><td>ABLIKIM</td><td>05P BES</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 3773 MeV</td></tr></tbody></table>

$\Gamma(K^*(892)^0 \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><6.6</td><td>90</td><td>ABLIKIM</td><td>05P BES</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 3773 MeV</td></tr></tbody></table>

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

This ratio includes $\eta$ particles from $\eta'$ decays.

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>6.3±0.5±0.5</td><td>1972 ± 142</td><td>HUANG</td><td>06B CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$\Gamma(\eta' \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.04±0.16±0.09</td><td>82 ± 13</td><td>HUANG</td><td>06B CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$\Gamma(\phi \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.12 ± 0.04 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>1.135 ± 0.034 ± 0.031</td><td>2.7k</td><td>ABLIKIM</td><td>19AY BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td></tr><tr><td>1.03 ± 0.10 ± 0.07</td><td>248 ± 21</td><td>HUANG</td><td>06B CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$\Gamma(\pi^+ \pi^+ \pi^- \text{ anything})/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>15.25±0.09±0.18</td><td>124k</td><td>ABLIKIM</td><td>23AI BES3</td><td>2.93 fb<sup>-1</sup>, e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

Leptonic and semileptonic modes

$\Gamma(e^+ \nu_e)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><8.8 × 10<sup>-6</sup></td><td>90</td><td>EISENSTEIN</td><td>08</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

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

<2.4 × 10<sup>-5</sup> 90 ARTUSO 05A CLEO See EISENSTEIN 08

$\Gamma(\gamma e^+ \nu_e)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><3.0 × 10<sup>-5</sup></td><td>90</td><td>1 ABLIKIM</td><td>17M BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr></tbody></table>

¹ This ABLIKIM 17M limit is for photons with energies greater than 10 MeV.

$\Gamma(\mu^+ \nu_\mu)/\Gamma_{\text{total}}$

See the note on "Decay Constants of Charged Pseudoscalar Mesons" in the $D_S^+$ Listings.

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.74 ± 0.17 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>3.71 ± 0.19 ± 0.06</td><td>409 ± 21</td><td>1 ABLIKIM</td><td>14f BES3</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr><tr><td>3.82 ± 0.32 ± 0.09</td><td>150 ± 12</td><td>2 EISENSTEIN</td><td>08 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

1 ABLIKIM 14f BES3 e<sup>+</sup>e<sup>-</sup> at ψ(3770)

2 EISENSTEIN 08 CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)

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

12.2 ± 11.1 ± 1.0 3 ³ ABLIKIM 05D BES e<sup>+</sup>e<sup>-</sup> ≈ 3.773 GeV

4.40 ± 0.66 ± 0.09 47 ± 7 ⁴ ARTUSO 05A CLEO See EISENSTEIN 08

3.5 ± 1.4 ± 0.6 7 ⁵ BONVICINI 04A CLEO Incl. in ARTUSO 05A

8 ± 16 ± 5 1 ⁶ BAI 98B BES e<sup>+</sup>e<sup>-</sup> → D<sup>*+</sup>D<sup>-</sup>

¹ ABLIKIM 14f obtain $|V_{cd}| \cdot f_{D^+} = (45.75 \pm 1.20 \pm 0.39)$ MeV, and using $|V_{cd}| = 0.22520 \pm 0.00065$ gets $f_{D^+} = (203.2 \pm 5.3 \pm 1.8)$ MeV.

² EISENSTEIN 08, using the $D^+$ lifetime and assuming $|V_{cd}| = |V_{us}|$, gets $f_{D^+} = (205.8 \pm 8.5 \pm 2.5)$ MeV from this measurement.

³ ABLIKIM 05D finds a background-subtracted 2.67 ± 1.74 $D^+ \to \mu^+ \nu_\mu$ events, and from this obtains $f_{D^+} = 371 \pm 129 \pm 25$ MeV.

⁴ ARTUSO 05A obtains $f_{D^+} = 222.6 \pm 16.7 \pm 2.8$ MeV from this measurement.

⁵ BONVICINI 04A finds eight events with an estimated background of one, and from the branching fraction obtains $f_{D^+} = 202 \pm 41 \pm 17$ MeV.

⁶ BAI 98B obtains $f_{D^+} = (300 \pm 180 \pm 80)$ MeV from this measurement.

$\Gamma(\tau^+ \nu_\tau)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.20±0.24±0.12</td><td>137</td><td>1 ABLIKIM</td><td>19BG BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td></tr></tbody></table>

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

<table><thead><tr><th></th><th></th><th></th><th></th><th></th></tr></thead><tbody><tr><td>&lt;1.2</td><td>90</td><td>EISENSTEIN</td><td>08 CLEO</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr><tr><td>&lt;2.1</td><td>90</td><td>RUBIN</td><td>06A CLEO</td><td>See EISENSTEIN 08</td></tr></tbody></table>

¹ ABLIKIM 19BG observe this mode with a significance of 5.1 $\sigma$.

$\Gamma(\bar{K}^0 e^+ \nu_e)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>8.72 ± 0.09 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>8.68 ± 0.14 ± 0.16</td><td>1172</td><td>ABLIKIM</td><td>21BA BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3.773 GeV</td></tr><tr><td>8.60 ± 0.06 ± 0.15</td><td>26k</td><td>ABLIKIM</td><td>17S BES3</td><td>Using $\bar{K}^0 \to \pi^+ \pi^-$</td></tr><tr><td>8.59 ± 0.14 ± 0.21</td><td>5013</td><td>ABLIKIM</td><td>16V BES3</td><td>Using $\bar{K}^0 \to 2\pi^0$</td></tr><tr><td>8.962 ± 0.054 ± 0.206</td><td>40k</td><td>1 ABLIKIM</td><td>15AF BES3</td><td>from $D^+ \to K_L e^+ \nu_e$</td></tr><tr><td>8.83 ± 0.10 ± 0.20</td><td>8.5k</td><td>2 BESSON</td><td>09 CLEO</td><td>from $D^+ \to K_S e^+ \nu_e$</td></tr><tr><td>8.95 ± 1.59 ± 0.67</td><td>34</td><td>3 ABLIKIM</td><td>05A BES</td><td>from $D^+ \to K_S e^+ \nu_e$</td></tr></tbody></table>

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

8.53 ± 0.13 ± 0.23 ⁴ DOBBS 08 CLEO See BESSON 09

8.71 ± 0.38 ± 0.37 545 HUANG 05B CLEO See DOBBS 08

¹ ABLIKIM 15AF report $\Gamma(D^+ \to K_L e^+ \nu_e)/\Gamma_{\text{total}} = (4.481 \pm 0.027 \pm 0.103)\%$. See also the form-factor parameters near the end of this $D^+$ Listing.

² See the form-factor parameters near the end of this $D^+$ Listing.

³ The ABLIKIM 05A result together with the $D^0 \to K^- e^+ \nu_e$ branching fraction of ABLIKIM 04c and Particle Data Group lifetimes gives $\Gamma(D^0 \to K^- e^+ \nu_e) / \Gamma(D^+ \to K^0 e^+ \nu_e) = 1.08 \pm 0.22 \pm 0.07$; isospin invariance predicts the ratio is 1.0.

⁴ DOBBS 08 establishes $|V_{cd} \cdot f_\pi^0 / f_\pi^0(0)| = 0.188 \pm 0.008 \pm 0.002$ from the $D^+$ and $D^0$ decays to $K^- e^+ \nu_e$ and $\pi^+ e^+ \nu_e$. It also finds $\Gamma(D^0 \to K^- e^+ \nu_e) / \Gamma(D^+ \to K^0 e^+ \nu_e) = 1.06 \pm 0.02 \pm 0.03$; isospin invariance predicts the ratio is 1.0.

$\Gamma(\bar{K}^0 \mu^+ \nu_\mu)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>8.76±0.19 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>8.72±0.07±0.18</td><td>21k</td><td>ABLIKIM</td><td>16G BES3</td><td>e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td></tr></tbody></table>

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

10.3 ± 2.3 ± 0.8 29 ± 6 ABLIKIM 07 BES2 e<sup>+</sup>e<sup>-</sup> at 3773 MeV

$\Gamma(\bar{K}^0 \mu^+ \nu_\mu)/\Gamma(\bar{K}^0 \pi^+)$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.934±0.025 OUR FIT</td><td>Error includes scale factor of 1.2.</td><td></td><td></td><td></td></tr><tr><td>1.019±0.076±0.065</td><td>555 ± 39 LINK</td><td>04E FOCS</td><td>γ nucleus, $\bar{E}_γ$ ≈ 180 GeV</td><td></td></tr></tbody></table>

$\Gamma(K^- \pi^+ e^+ \nu_e)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>4.02±0.18 OUR FIT</td><td>Error includes scale factor of 3.2.</td><td></td><td></td><td></td></tr><tr><td>3.77±0.03±0.08</td><td>18.3k</td><td>ABLIKIM</td><td>16F BES3</td><td>e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

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

3.50 ± 0.75 ± 0.27 29 ABLIKIM 060 BES2 e<sup>+</sup>e<sup>-</sup> at 3773 GeV

3.5 ± 1.2 ± 0.7 14 BAI 91 MRK3 e<sup>+</sup>e<sup>-</sup> ≈ 3.77 GeV

$\Gamma(K^- \pi^+ e^+ \nu_e)/\Gamma(K^- \pi^+ e^+ \nu_e)$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.428 ± 0.018 OUR FIT</td><td>Error includes scale factor of 3.7.</td><td></td><td></td><td></td></tr><tr><td>0.4380±0.0036±0.0042</td><td>70k ± 363 DEL-AMO-SA...11I BABR</td><td></td><td></td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10.6 GeV</td></tr></tbody></table>

$\Gamma(\bar{K}^*(892)^0 e^+ \nu_e, \bar{K}^*(892)^0 \to K^- \pi^+)/\Gamma(K^- \pi^+ e^+ \nu_e)$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>93.94 ± 0.27 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>93.93 ± 0.22 ± 0.18</td><td></td><td></td><td></td><td></td></tr><tr><td>94.11 ± 0.74 ± 0.75</td><td></td><td></td><td></td><td></td></tr></tbody></table>
$$ \Gamma(\bar{K}^{-\pi^{+}})[0.8-1.0]_{\text{GeV}}e^{+\nu_e}/\Gamma_{\text{total}} \quad \Gamma_{21}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>3.39±0.03±0.08</td><td>16.2k</td><td>ABLIKIM</td><td>16F</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{-\pi^{+}})_{S-wave}e^{+\nu_e}/\Gamma_{\text{total}} \quad \Gamma_{22}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.28±0.08±0.08</td><td></td><td>ABLIKIM</td><td>16F</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{-\pi^{+}})_{S-wave}e^{+\nu_e}/\Gamma(\bar{K}^{-\pi^{+}}e^{+\nu_e}) \quad \Gamma_{22}/\Gamma_{19} $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5.89±0.17 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>6.05±0.22±0.18</td><td></td><td>ABLIKIM</td><td>16F</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr><tr><td>5.79±0.16±0.15</td><td></td><td>DEL-AMO-SA..11I</td><td></td><td>BABR e<sup>+</sup>e<sup>-</sup> ≈ 10.6 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{*}(1410)^{0}e^{+\nu_{e}}, \bar{K}^{*}(1410)^{0} \rightarrow \bar{K}^{-\pi^{+}})/\Gamma_{\text{total}} \quad \Gamma_{23}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;6 × 10<sup>-3</sup></td><td>90</td><td>DEL-AMO-SA..11I</td><td></td><td>BABR e<sup>+</sup>e<sup>-</sup> ≈ 10.6 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_{2}^{*}(1430)^{0}e^{+\nu_{e}}, \bar{K}_{2}^{*}(1430)^{0} \rightarrow \bar{K}^{-\pi^{+}})/\Gamma_{\text{total}} \quad \Gamma_{24}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;5 × 10<sup>-4</sup></td><td>90</td><td>DEL-AMO-SA..11I</td><td></td><td>BABR e<sup>+</sup>e<sup>-</sup> ≈ 10.6 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{-\pi^{+}}e^{+\nu_{e}} \text{ nonresonant})/\Gamma_{\text{total}} \quad \Gamma_{25}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.007</td><td>90</td><td>ANJOS</td><td>89B</td><td>E691 Photoproduction</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{*}(892)^{0}e^{+\nu_{e}})/\Gamma_{\text{total}} \quad \Gamma_{26}/\Gamma $$

Unseen decay modes of $\bar{K}^{*}(892)^{0}$ are included. See the end of the $D^{+}$ Listings for measurements of $D^{+} \rightarrow \bar{K}^{*}(892)^{0} \ell^{+} \nu_{e}$ form-factor ratios.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead></table>

5.40±0.10 OUR FIT Error includes scale factor of 1.1.

5.40±0.10 OUR AVERAGE Error includes scale factor of 1.1.

5.31±0.05±0.12 16.2k ABLIKIM 16F BES3 e<sup>+</sup>e<sup>-</sup> at ψ(3770)

5.52±0.07±0.13 ≈ 5k BRIERE 10 CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)

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

5.06±1.21±0.40 28 ± 7 ABLIKIM 060 BES2 e<sup>+</sup>e<sup>-</sup> at 3773 MeV

5.56±0.27±0.23 422 ± 21 1 HUANG 05B CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)

1 HUANG 05B finds $\Gamma(D^{0} \rightarrow \bar{K}^{*}e^{+\nu_{e}})/\Gamma(D^{+} \rightarrow \bar{K}^{*0}e^{+\nu_{e}}) = 0.98 \pm 0.08 \pm 0.04$; isospin invariance predicts the ratio is 1.0.

$$ \Gamma(\bar{K}^{*}(892)^{0}e^{+\nu_{e}})/\Gamma(\bar{K}^{-2\pi^{+}}) \quad \Gamma_{26}/\Gamma_{52} $$

Unseen decay modes of the $\bar{K}^{*}(892)^{0}$ are included. See the end of the $D^{+}$ Listings for measurements of $D^{+} \rightarrow \bar{K}^{*}(892)^{0} \ell^{+} \nu_{e}$ form-factor ratios.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.74±0.04±0.05</td><td></td><td>BRANDENB... 02</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>0.62±0.15±0.09</td><td>35</td><td>ADAMOVICH 91</td><td>OMEG</td><td>π<sup>-</sup> 340 GeV</td></tr><tr><td>0.55±0.08±0.10</td><td>880</td><td>ALBRECHT 91</td><td>ARG</td><td>e<sup>+</sup>e<sup>-</sup> ≈ 10.4 GeV</td></tr><tr><td>0.49±0.04±0.05</td><td></td><td>ANJOS</td><td>89B</td><td>E691 Photoproduction</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{-\pi^{+}}\mu^{+}\nu_{\mu})/\Gamma(\bar{K}^{0}\mu^{+}\nu_{\mu}) \quad \Gamma_{27}/\Gamma_{18} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.417±0.030±0.023</td><td>555 ± 39</td><td>LINK</td><td>04E</td><td>FOCS γ nucleus, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{-\pi^{+}}\mu^{+}\nu_{\mu} \text{ nonresonant})/\Gamma(\bar{K}^{-\pi^{+}}\mu^{+}\nu_{\mu}) \quad \Gamma_{29}/\Gamma_{27} $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.0530±0.0074+0.0099-0.0096</td><td>14k</td><td>LINK</td><td>05I</td><td>FOCS γ nucleus, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{*}(892)^{0}\mu^{+}\nu_{\mu})/\Gamma_{\text{total}} \quad \Gamma_{30}/\Gamma $$

Unseen decay modes of the $\bar{K}^{*}(892)^{0}$ are included. See the end of the $D^{+}$ Listings for measurements of $D^{+} \rightarrow \bar{K}^{*}(892)^{0} \ell^{+} \nu_{e}$ form-factor ratios.

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>5.27±0.15 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>5.27±0.07±0.14</td><td>≈ 5k</td><td>BRIERE</td><td>10</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{*}(892)^{0}\mu^{+}\nu_{\mu})/\Gamma(\bar{K}^{0}\mu^{+}\nu_{\mu}) \quad \Gamma_{30}/\Gamma_{18} $$

Unseen decay modes of the $\bar{K}^{*}(892)^{0}$ are included. See the end of the $D^{+}$ Listings for measurements of $D^{+} \rightarrow \bar{K}^{*}(892)^{0} \ell^{+} \nu_{e}$ form-factor ratios.

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.602±0.020 OUR FIT</td><td></td><td></td><td></td><td></td></tr><tr><td>0.594±0.043±0.033</td><td>555 ± 39</td><td>LINK</td><td>04E</td><td>FOCS γ nucleus, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{*}(892)^{0}\mu^{+}\nu_{\mu})/\Gamma(\bar{K}^{-2\pi^{+}}) \quad \Gamma_{30}/\Gamma_{52} $$

Unseen decay modes of the $\bar{K}^{*}(892)^{0}$ are included. See the end of the $D^{+}$ Listings for measurements of $D^{+} \rightarrow \bar{K}^{*}(892)^{0} \ell^{+} \nu_{e}$ form-factor ratios.

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

0.562±0.018 OUR FIT Error includes scale factor of 1.1.

0.57 ±0.06 OUR AVERAGE Error includes scale factor of 1.2.

<table><tbody><tr><td>0.72 ±0.10 ±0.05</td><td>BRANDENB... 02</td><td>CLEO</td><td>e<sup>+</sup>e<sup>-</sup> ≈ T(4S)</td></tr><tr><td>0.56 ±0.04 ±0.06</td><td>875</td><td>FRABETTI 93E</td><td>E687 γBe E<sub>γ</sub> ≈ 200 GeV</td></tr><tr><td>0.46 ±0.07 ±0.08</td><td>224</td><td>KODAMA 92C</td><td>E653 π<sup>-</sup> emulsion 600 GeV</td></tr></tbody></table>

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

<table><tbody><tr><td>0.602±0.010±0.021</td><td>12k</td><td>1 LINK</td><td>02J</td><td>FOCS γ nucleus, ≈ 180 GeV</td></tr></tbody></table>

¹This LINK 02J result includes the effects of an interference of a small S-wave $K^{-\pi^{+}}$ amplitude with the dominant $\bar{K}^{*0}$ amplitude. (The interference effect is reported in LINK 02E.) This result is redundant with results of LINK 04E elsewhere in these Listings.

$$ \Gamma(\bar{K}^{-\pi^{+}}\pi^{0}\mu^{+}\nu_{\mu})/\Gamma(\bar{K}^{-\pi^{+}}\mu^{+}\nu_{\mu}) \quad \Gamma_{31}/\Gamma_{27} $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.042</td><td>90</td><td>FRABETTI 93E</td><td>E687 γBe E<sub>γ</sub> ≈ 200 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}_{1}(1270)^{0}e^{+\nu_{e}}, \bar{K}_{1}^{0} \rightarrow \bar{K}^{-\pi^{+}}\pi^{0})/\Gamma_{\text{total}} \quad \Gamma_{32}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.06±0.12+0.08-0.10</td><td>120</td><td>1 ABLIKIM 19BH</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td><td></td></tr></tbody></table>

¹ ABLIKIM 19BH quotes $B(D^{+} \rightarrow \bar{K}_{1}(1270)^{0}e^{+\nu_{e}}) = (2.30 \pm 0.26+0.18-0.21 \pm 0.25) \times 10^{-3}$, where the last uncertainty is due to $B(\bar{K}_{1}(1270)^{0} \rightarrow \bar{K}^{-\pi^{+}}\pi^{0}) = 0.467 \pm 0.050$.

$$ \Gamma(\bar{K}_{0}^{*}(1430)^{0}\mu^{+}\nu_{\mu})/\Gamma(\bar{K}^{-\pi^{+}}\mu^{+}\nu_{\mu}) \quad \Gamma_{33}/\Gamma_{27} $$

Unseen decay modes of the $\bar{K}_{0}^{*}(1430)^{0}$ are included.

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.0064</td><td>90</td><td>LINK</td><td>05I</td><td>FOCS γ A, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\bar{K}^{*}(1680)^{0}\mu^{+}\nu_{\mu})/\Gamma(\bar{K}^{-\pi^{+}}\mu^{+}\nu_{\mu}) \quad \Gamma_{34}/\Gamma_{27} $$

Unseen decay modes of the $\bar{K}^{*}(1680)^{0}$ are included.

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.04</td><td>90</td><td>LINK</td><td>05I</td><td>FOCS γ A, E<sub>γ</sub> ≈ 180 GeV</td></tr></tbody></table>

$$ \Gamma(\pi^{0}e^{+\nu_{e}})/\Gamma_{\text{total}} \quad \Gamma_{35}/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.372±0.017 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>0.363±0.008±0.005</td><td>3.4k</td><td>ABLIKIM 17S</td><td>BES3 Using π<sup>0</sup> → 2γ</td><td></td></tr><tr><td>0.405±0.016±0.009</td><td>838</td><td>1 BESSON 09</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td><td></td></tr></tbody></table>

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

0.373±0.022±0.013 63 ± 9 DOBBS 08 CLEO See BESSON 09

0.44 ±0.06 ±0.03 HUANG 05B CLEO See DOBBS 08

¹See the form-factor parameters near the end of this $D^{+}$ Listing.

² DOBBS 08 establishes $|\frac{\Gamma_{\pi^{0}}}{\Gamma_{\pi^{0}}} \cdot \frac{\Gamma_{(0)}}{\Gamma_{(0)}}| = 0.188 \pm 0.008 \pm 0.002$ from the $D^{+}$ and $D^{0}$ decays to $\bar{K}^{+}e^{+} \nu_{e}$ and $\pi^{+}e^{+} \nu_{e}$. It finds $\Gamma(D^{0} \rightarrow \pi^{+}e^{+} \nu_{e}) / \Gamma(D^{+} \rightarrow \pi^{0}e^{+} \nu_{e}) = 2.03 \pm 0.14 \pm 0.08$; isospin invariance predicts the ratio is 2.0.

$$ \Gamma(\pi^{0}\mu^{+}\nu_{\mu})/\Gamma_{\text{total}} \quad \Gamma_{36}/\Gamma $$

<table><thead><tr><th>VALUE (%)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.350±0.011±0.010</td><td>1.3k</td><td>ABLIKIM 18AE</td><td>BES3 e<sup>+</sup>e<sup>-</sup>, 3773 MeV</td><td></td></tr></tbody></table>

$$ \Gamma(\eta^{+}\nu_{e})/\Gamma_{\text{total}} \quad \Gamma_{37}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>11.1 ±0.7 OUR AVERAGE</td><td></td><td></td><td></td><td></td></tr><tr><td>10.74±0.81±0.51</td><td>373</td><td>ABLIKIM 18R</td><td>BES3 e<sup>+</sup>e<sup>-</sup>, 3773 MeV</td><td></td></tr><tr><td>11.4 ±0.9 ±0.4</td><td></td><td>YELTON 11</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td><td></td></tr></tbody></table>

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

13.3 ±2.0 ±0.6 MITCHELL 09B CLEO See YELTON 11

$$ \Gamma(\eta^{+}\nu_{\mu})/\Gamma_{\text{total}} \quad \Gamma_{38}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-4</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>10.41±1.12±0.05</td><td>234</td><td>1 ABLIKIM 20T</td><td>BES3 e<sup>+</sup>e<sup>-</sup>, 3773 MeV</td><td></td></tr></tbody></table>

¹ ABLIKIM 20T reports $(10.4 \pm 1.0 \pm 0.5) \times 10^{-4}$ from a measurement of $[\Gamma(D^{+} \rightarrow \eta\mu^{+}\nu_{\mu})/\Gamma_{\text{total}}] \times [B(\eta \rightarrow 2\gamma)]$ assuming $B(\eta \rightarrow 2\gamma) = (39.41 \pm 0.20) \times 10^{-2}$, which we rescale to our best value $B(\eta \rightarrow 2\gamma) = (39.36 \pm 0.18) \times 10^{-2}$. Our first error is their experiment's error and our second error is the systematic error from using our best value.

$$ \Gamma(\pi^{-}\pi^{+}e^{+\nu_{e}})/\Gamma_{\text{total}} \quad \Gamma_{39}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.49 ±0.11 OUR FIT</td><td></td><td>Error includes scale factor of 1.2.</td><td></td><td></td></tr><tr><td>2.449±0.074±0.073</td><td>1.7k</td><td>ABLIKIM 19C</td><td>BES3 e<sup>+</sup>e<sup>-</sup> at 3773 MeV</td><td></td></tr></tbody></table>

$$ \Gamma(f_{0}(500)^{0}e^{+\nu_{e}}, f_{0}(500)^{0} \rightarrow \pi^{+}\pi^{-})/\Gamma(\pi^{-}\pi^{+}e^{+\nu_{e}}) \quad \Gamma_{40}/\Gamma_{39} $$

<table><thead><tr><th>VALUE (units 10<sup>-2</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>25.7±1.6±1.1</td><td>1.5k</td><td>ABLIKIM 19C</td><td>BES3 π<sup>-</sup> π<sup>+</sup> ν<sub>e</sub> events</td><td></td></tr></tbody></table>

$$ \Gamma(\rho^{0}e^{+\nu_{e}})/\Gamma_{\text{total}} \quad \Gamma_{41}/\Gamma $$

<table><thead><tr><th>VALUE (units 10<sup>-3</sup>)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.90±0.10 OUR FIT</td><td></td><td>Error includes scale factor of 1.2.</td><td></td><td></td></tr><tr><td>2.17±0.12+0.12-0.22</td><td>447 ± 25</td><td>1 DOBBS</td><td>13</td><td>CLEO e<sup>+</sup>e<sup>-</sup> at ψ(3770)</td></tr></tbody></table>
• • • We do not use the following data for averages, fits, limits, etc. • • •

$$2.1 \pm 0.4 \pm 0.1 \qquad 27 \pm 6 \qquad 2 \text{ HUANG} \qquad 05B \text{ CLEO} \quad \text{See DOBBS 13}$$

$$^1\text{DOBBS 13 finds } \Gamma(D^0 \to \rho^- e^+ \nu_e) / 2 \Gamma(D^+ \to \rho^0 e^+ \nu_e) = 1.03 \pm 0.09^{+0.08}_{-0.02}; \\ \text{isospin invariance predicts the ratio is 1.0.}$$

$$^2\text{HUANG 05B finds } \Gamma(D^0 \to \rho^- e^+ \nu_e) / 2 \Gamma(D^+ \to \rho^0 e^+ \nu_e) = 1.2 \pm 0.4^{+0.3}_{-0.1}; \\ \text{isospin invariance predicts the ratio is 1.0.}$$

$$\frac{\Gamma(\rho^0 e^+ \nu_e)}{\Gamma(\pi^- \pi^+ e^+ \nu_e)} \qquad \Gamma_{41/\Gamma 39}$$

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$76.5 \pm 2.3 \text{ OUR FIT} \qquad \text{Error includes scale factor of 1.2.}$$

$$76.0 \pm 1.7 \pm 1.1 \qquad 1.5k \qquad \text{ABLIKIM} \qquad 19c \qquad \text{BES3} \qquad \pi^- \pi^+ e^+ \nu_e \text{ events}$$

$$\frac{\Gamma(\rho^0 e^+ \nu_e)}{\Gamma(\bar{K}^*(892)0 e^+ \nu_e)} \qquad \Gamma_{41/\Gamma 26}$$

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$0.0353 \pm 0.020 \text{ OUR FIT} \qquad \text{Error includes scale factor of 1.1.}$$

$$0.045 \pm 0.014 \pm 0.009 \qquad 49 \qquad 1 \text{ AITALA} \qquad 97 \qquad \text{E791} \qquad \pi^- \text{ nucleus, } 500 \text{ GeV}$$

$^1\text{AITALA 97 explicitly subtracts } D^+ \to \eta' e^+ \nu_e \text{ and other backgrounds to get this result.}$

$$\frac{\Gamma(\rho^0 \mu^+ \nu_\mu)}{\Gamma(\bar{K}^*(892)0 \mu^+ \nu_\mu)} \qquad \Gamma_{42/\Gamma 30}$$

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$0.045 \pm 0.007 \text{ OUR AVERAGE} \qquad \text{Error includes scale factor of 1.1.}$$

$$0.041 \pm 0.006 \pm 0.004 \qquad 320 \pm 44 \qquad \text{LINK} \qquad 06B \text{ FOCS} \qquad \gamma A, \bar{E}_\gamma \approx 180 \text{ GeV}$$

$$0.051 \pm 0.015 \pm 0.009 \qquad 54 \qquad 1 \text{ AITALA} \qquad 97 \qquad \text{E791} \qquad \pi^- \text{ nucleus, } 500 \text{ GeV}$$

$$0.079 \pm 0.019 \pm 0.013 \qquad 39 \qquad 2 \text{ FRABETTI} \qquad 97 \qquad \text{E687} \qquad \gamma \text{ Be, } \bar{E}_\gamma \approx 220 \text{ GeV}$$

$^1\text{AITALA 97 explicitly subtracts } D^+ \to \eta' \mu^+ \nu_\mu \text{ and other backgrounds to get this result.}$

$^2\text{Because the reconstruction efficiency for photons is low, this FRABETTI 97 result also includes any } D^+ \to \eta' \mu^+ \nu_\mu \to \gamma \rho^0 \mu^+ \nu_\mu \text{ events in the numerator.}$

$$\frac{\Gamma(\omega e^+ \nu_e)}{\Gamma_{\text{total}}} \qquad \Gamma_{43/\Gamma}$$

$$\frac{\text{VALUE (units } 10^{-3})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$1.69 \pm 0.11 \text{ OUR AVERAGE}$$

$$1.63 \pm 0.11 \pm 0.08 \qquad 491 \pm 32 \qquad \text{ABLIKIM} \qquad 15w \text{ BES3} \qquad 292 \text{ fb}^{-1}, 3773 \text{ MeV}$$

$$1.82 \pm 0.18 \pm 0.07 \qquad 129 \pm 13 \qquad \text{DOBBS 13} \qquad \text{CLEO} \qquad e^+ e^- \text{ at } \psi(3770)$$

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

$$1.6 \pm 0.7 \qquad 0.6 \pm 0.1 \qquad 7.6 \pm 3.3 \qquad 2.7 \qquad \text{HUANG} \qquad 05B \text{ CLEO} \qquad \text{See DOBBS 13}$$

$$\frac{\Gamma(\omega e^+ \nu_e)}{\Gamma(\pi^- \pi^+ e^+ \nu_e)} \qquad \Gamma_{43/\Gamma 39}$$

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$1.28 \pm 0.41 \pm 0.15 \qquad 1.5k \qquad \text{ABLIKIM} \qquad 19c \qquad \text{BES3} \qquad \pi^- \pi^+ e^+ \nu_e \text{ events}$$

$$\frac{\Gamma(\omega \mu^+ \nu_\mu)}{\Gamma_{\text{total}}} \qquad \Gamma_{44/\Gamma}$$

$$\frac{\text{VALUE (units } 10^{-4})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$1.77 \pm 2.1 \pm 0.1 \qquad 194 \qquad 1 \text{ ABLIKIM} \qquad 20h \text{ BES3} \qquad e^+ e^- \text{, } 3773 \text{ MeV}$$

$^1\text{ABLIKIM 20h reports } (17.7 \pm 1.8 \pm 1.1) \times 10^{-4} \text{ from a measurement of } [\Gamma(D^+ \to \omega \mu^+ \nu_\mu)/\Gamma_{\text{total}} \times [B(\omega(782) \to \pi^+ \pi^- \pi^0)]] \text{ assuming } B(\omega(782) \to \pi^+ \pi^- \pi^0) = (89.3 \pm 0.6) \times 10^{-2}, \text{ which we rescale to our best value } B(\omega(782) \to \pi^+ \pi^- \pi^0) = (89.2 \pm 0.7) \times 10^{-2}. \text{ Our first error is their experiment's error and our second error is the systematic error from using our best value.}$

$$\frac{\Gamma(\eta'(958) e^+ \nu_e)}{\Gamma_{\text{total}}} \qquad \Gamma_{45/\Gamma}$$

$$\frac{\text{VALUE (units } 10^{-4})}{\text{CL%}} \qquad \text{EVTS} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$2.0 \pm 0.4 \text{ OUR AVERAGE}$$

$$1.91 \pm 0.51 \pm 0.13 \qquad 32 \qquad \text{ABLIKIM} \qquad 18r \text{ BES3} \qquad e^+ e^- \text{, } 3773 \text{ MeV}$$

$$2.16 \pm 0.53 \pm 0.07 \qquad 11 \qquad \text{YELTON} \qquad 11 \qquad \text{CLEO} \qquad e^+ e^- \text{ at } \psi(3770)$$

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

$<3.5 \qquad 90 \qquad \text{MITCHELL} \qquad 09B \text{ CLEO} \qquad \text{See YELTON 11}$

$$\frac{\Gamma(a(980)^0 e^+ \nu_e, a(980)^0 \to \eta \pi^0)}{\Gamma_{\text{total}}} \qquad \Gamma_{46/\Gamma}$$

$$\frac{\text{VALUE (units } 10^{-4})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$1.66^{+0.81}_{-0.66} \pm 0.11 \qquad 10^{+5}_{-4} \qquad 1 \text{ ABLIKIM} \qquad 18f \qquad \text{BES3} \qquad e^+ e^- \text{ at } 3773 \text{ MeV}$$

$^1\text{Signal observed at } 2.9 \sigma \text{ C.L.}$

$$\frac{\Gamma(b_1(1235)^0 e^+ \nu_e, b_0^0 \to \omega \pi^0)}{\Gamma_{\text{total}}} \qquad \Gamma_{47/\Gamma}$$

$$\frac{\text{VALUE (units } 10^{-4})}{\text{CL%}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$<1.75 \times 10^{-4} \qquad 90 \qquad \text{ABLIKIM} \qquad 20AF \text{ BES3} \qquad e^+ e^- \text{, } 3773 \text{ MeV}$

$$\frac{\Gamma(\phi e^+ \nu_e)}{\Gamma_{\text{total}}} \qquad \Gamma_{48/\Gamma}$$

$$\frac{\text{VALUE (units } 10^{-4})}{\text{CL%}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$<1.3 \times 10^{-5} \qquad 90 \qquad \text{ABLIKIM} \qquad 15w \text{ BES3} \qquad 292 \text{ fb}^{-1}, 3773 \text{ MeV}$

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

$<0.9 \times 10^{-4} \qquad 90 \qquad \text{YELTON} \qquad 11 \qquad \text{CLEO} \qquad e^+ e^- \text{ at } \psi(3770)$

$<1.6 \times 10^{-4} \qquad 90 \qquad \text{MITCHELL} \qquad 09B \qquad \text{CLEO} \qquad \text{See YELTON 11}$

$<0.0201 \qquad 90 \qquad \text{ABLIKIM} \qquad 06p \qquad \text{BES2} \qquad e^+ e^- \text{ at } 3773 \text{ MeV}$

$<0.0209 \qquad 90 \qquad \text{BAI} \qquad 91 \qquad \text{MRK3} \qquad e^+ e^- \approx 3.77 \text{ GeV}$

$$\frac{\Gamma(D^0 e^+ \nu_e)}{\Gamma_{\text{total}}} \qquad \Gamma_{49/\Gamma}$$

$$\frac{\text{VALUE (units } 10^{-4})}{\text{CL%}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$<1.0 \times 10^{-4} \qquad 90 \qquad \text{ABLIKIM} \qquad 17AD \text{ BES3} \qquad e^+ e^- \text{ at } 3773 \text{ GeV}$

Hadronic modes with a $\bar{K}$ or $\bar{K}\bar{K}\bar{K}$

$$\frac{\Gamma(K_S^0 \pi^+)}{\Gamma_{50/\Gamma}}$$

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$1.562 \pm 0.031 \text{ OUR FIT} \qquad \text{Error includes scale factor of 1.7.}$$

$$1.591 \pm 0.006 \pm 0.030 \qquad 94k \qquad \text{ABLIKIM} \qquad 18w \text{ BES3} \qquad e^+ e^- \text{, } 3773 \text{ MeV}$$

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

$1.526 \pm 0.022 \pm 0.038 \qquad 1 \text{ DOBBS} \qquad 07 \qquad \text{CLEO} \qquad \text{See MENDEZ 10}$

$1.55 \pm 0.05 \pm 0.06 \qquad 2.2k \qquad 1 \text{ HE} \qquad 05 \qquad \text{CLEO} \qquad \text{See DOBBS 07}$

$1.6 \pm 0.3 \pm 0.1 \qquad 161 \qquad \text{ADLER} \qquad 88c \qquad \text{MRK3} \qquad e^+ e^- \text{, } 3.77 \text{ GeV}$

$^1\text{DOBBS 07 and HE 05 use single- and double-tagged events in an overall fit. DOBBS 07 supersedes HE 05.}$

$$\frac{\Gamma(K_S^0 \pi^+)}{\Gamma(\bar{K} - 2\pi^+)} \qquad \Gamma_{50/\Gamma 52}$$

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$0.167 \pm 0.004 \text{ OUR FIT} \qquad \text{Error includes scale factor of 2.4.}$$

$$0.162 \pm 0.009 \text{ OUR AVERAGE} \qquad \text{Error includes scale factor of 4.5.}$$

$0.171 \pm 0.002 \pm 0.002 \qquad \text{1 DOBBS} \qquad 07 \qquad \text{CLEO} \qquad \text{See MENDEZ 10}$

$0.1530 \pm 0.0023 \pm 0.0016 \qquad 10.6k \qquad \text{LINK} \qquad 02b \qquad \text{FOCS} \qquad \gamma \text{ nucleus, } \bar{E}_\gamma \approx 180 \text{ GeV}$

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

$0.1682 \pm 0.0012 \pm 0.0037 \qquad 30k \qquad \text{MENDEZ} \qquad 10 \qquad \text{CLEO} \qquad \text{See BONVICINI 14}$

$0.174 \pm 0.012 \pm 0.011 \qquad 473 \qquad 1 \text{ BISHAI} \qquad 97 \qquad \text{CLEO} \qquad e^+ e^- \approx \Upsilon(45)$

$0.137 \pm 0.015 \pm 0.016 \qquad 264 \qquad \text{ANJOS} \qquad 90w \qquad \text{E691} \qquad \text{Photoproduction}$

$^1\text{See BISHAI 97 for an isospin analysis of } D^+ \to \bar{K} \pi \text{ amplitudes.}$

$$\frac{\Gamma(K_0^2 \pi^+)}{\Gamma_{51/\Gamma}}$$

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$1.460 \pm 0.040 \pm 0.035 \qquad 2023 \pm 54 \qquad 1 \text{ HE} \qquad 08 \qquad \text{CLEO} \qquad e^+ e^- \text{ at } \psi(3770)$$

$^1\text{The difference of CLEO } D^+ \to K_S^0 \pi^+ \text{ and } K_0^2 \pi^+ \text{ branching fractions over the sum (DOBBS 07 and HE 08) is } +0.022 \pm 0.016 \pm 0.018.$

$$\frac{\Gamma(\bar{K} - 2\pi^+)}{\Gamma_{52/\Gamma}}$$

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$$9.38 \pm 0.16 \text{ OUR FIT} \qquad \text{Error includes scale factor of 1.6.}$$

$$9.224 \pm 0.059 \pm 0.157 \qquad \text{BONVICINI} \qquad 14 \qquad \text{CLEO} \qquad \text{All CLEO-c runs}$$

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

$9.14 \pm 0.10 \pm 0.17 \qquad 1 \text{ DOBBS} \qquad 07 \qquad \text{CLEO} \qquad \text{See BONVICINI 14}$

$9.5 \pm 0.2 \pm 0.3 \qquad 15.1k \qquad 1 \text{ HE} \qquad 05 \qquad \text{CLEO} \qquad \text{See DOBBS 07}$

$9.3 \pm 0.6 \pm 0.8 \qquad 1502 \qquad 2 \text{ BALEST} \qquad 94 \qquad \text{CLEO} \qquad e^+ e^- \approx \Upsilon(45)$

$6.4 \pm 1.5 \qquad -1.4 \qquad \text{3 BARLAG} \qquad 92c \qquad \text{ACCM} \qquad \pi^- \text{ Cu } 230 \text{ GeV}$

$9.1 \pm 1.3 \pm 0.4 \qquad 1164 \qquad \text{ADLER} \qquad 88c \qquad \text{MRK3} \qquad e^+ e^- \text{, } 3.77 \text{ GeV}$

$9.1 \pm 1.9 \qquad 239 \qquad 4 \text{ SCHINDLER} \qquad 81 \qquad \text{MRK2} \qquad e^+ e^- \text{, } 3.771 \text{ GeV}$

$^1\text{DOBBS 07 and HE 05 use single- and double-tagged events in an overall fit. DOBBS 07 supersedes HE 05.}$

$^2\text{BALEST 94 measures the ratio of } D^+ \to K^- \pi^+ \pi^+ \text{ and } D^0 \to K^- \pi^+ \text{ branching fractions to be } 2.35 \pm 0.16 \text{ and } 0.16 \text{ and uses their absolute measurement of the } D^0 \to K^- \pi^+ \text{ fraction (AKERIB 93).}$

$^3\text{BARLAG 92c computes the branching fraction by topological normalization.}$

$^4\text{SCHINDLER 81 (MARK-2) measures } \sigma(e^+ e^- \to \psi(3770)) \times \text{branching fraction to be } 0.38 \pm 0.05 \text{ nb. We use the MARK-3 (ADLER 88c) value of } \sigma = 4.2 \pm 0.6 \text{ or } 0.3 \text{ nb.}$

See the related review(s):
Review of Multibody Charm Analyses

$$\frac{(\Gamma(K^- \pi^+)S-\text{wave } \pi^+)}{\Gamma_{53/52}}$$

This is the “fit fraction” from the Dalitz-plot analysis. The $K^- \pi^+$ S-wave includes a broad scalar $\bar{K}_0(700)$, the $\bar{K}_0^*(1430)^0$, and non-resonant background.

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$0.8024 \pm 0.0138 \pm 0.0043 \qquad 1 \text{ LINK} \qquad 09 \qquad \text{FOCS} \qquad \text{MIPWA fit, } 53 \text{ evts}$

$0.838 \pm 0.038 \qquad 2 \text{ BONVICINI} \qquad 08a \qquad \text{CLEO} \qquad \text{QMIPWA fit, } 141 \text{ evts}$

$0.786 \pm 0.014 \pm 0.018 \qquad \text{AITALA} \qquad 06 \qquad \text{E791} \qquad \text{Dalitz fit, } 15.1k \text{ events}$

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

$0.8323 \pm 0.0150 \pm 0.0008 \qquad 3 \text{ LINK} \qquad 07B \qquad \text{FOCS} \qquad \text{See LINK 09}$

$^1\text{This LINK 09 model-independent partial-wave analysis of the } K^- \pi^+ S\text{-wave slices the } K^- \pi^+ \text{ mass range into } 39 \text{ bins.}$

$^2\text{The BONVICINI 08A QMIPWA (quasi-model-independent partial-wave analysis) of the } K^- \pi^+ S\text{-wave amplitude slices the } K^- \pi^+ \text{ mass range into } 26 \text{ bins but keeps the Breit-Wigner } \bar{K}_0^*(1430)^0.$

$^3\text{This LINK 07B fit uses a } K \text{ matrix. The } K^- \pi^+ S\text{-wave fit fraction given above breaks down into } (207.3 \pm 25.5 \pm 12.4)\% \text{ isospin-1/2 and } (40.5 \pm 9.6 \pm 3.2)\% \text{ isospin-3/2 — with large interference between the two. The isospin-1/2 component includes the } \kappa \text{ (or } \bar{K}_0^*(700)^0 \text{) and } \bar{K}_0^*(1430)^0 \text{).}$

$$\frac{\Gamma(\bar{K}_0^*(700)^0 \pi^+, \bar{K}_0^+ \to K^- \pi^+)}{\Gamma_{54/52}}$$

This is the “fit fraction” from the Dalitz-plot analysis.

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

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

$0.478 \pm 0.121 \pm 0.053 \qquad \text{AITALA} \qquad 02 \qquad \text{E791} \qquad \text{See AITALA 06}$

$$\frac{\Gamma(\bar{K}_0^*(1430)^0 \pi^+, \bar{K}_0^+ \to K^- \pi^+)}{\Gamma_{55/52}}$$

This is the “fit fraction” from the Dalitz-plot analysis.

$$\frac{\text{VALUE (units } 10^{-2})}{\text{EVTS}} \qquad \text{DOCUMENT ID} \qquad \text{TECN} \qquad \text{COMMENT}$$

$0.1330 \pm 0.0062 \qquad \text{BONVICINI} \qquad 08A \qquad \text{CLEO} \qquad \text{QMIPWA fit, } 141k \text{ evts}$