a₂(1700) Γ(ī)Γ(γγ)/Γ(total)

$$ \begin{array}{lccccccc} & \boxed{\Gamma(\rho\pi) + \Gamma(f_2(1270)\pi)} & \times & \boxed{\Gamma(\gamma\gamma)} & \times & \boxed{\Gamma_{\text{total}}} & & \\ \text{VALUE (keV)} & \text{EVTS} & & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & & \\ \hline & 0.29 \pm 0.04 \pm 0.02 & & \text{ACCIARRI} & 97T & \text{L3} & \gamma\gamma \rightarrow \pi^+\pi^-\pi^0 & & \end{array} $$

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

$$ \begin{array}{lccccccc} & 0.37 \pm 0.12 \pm 0.10 & & 18k & 1 & \text{SCHEGELSKY 06} & \text{RVUE} & \gamma\gamma \rightarrow \pi^+\pi^-\pi^0 & & \end{array} $$
¹ From analysis of L3 data at 183–209 GeV.

$$ \begin{array}{lccccccc} & \boxed{\Gamma(\kappa\bar{K})} & \times & \boxed{\Gamma(\gamma\gamma)} & \times & \boxed{\Gamma_{\text{total}}} & & \\ \text{VALUE (eV)} & \text{EVTS} & & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & & \\ \hline & 20.6 \pm 4.2 \pm 4.6 & & 1 & \text{ABE} & 04 & \text{BELL} & 10.6 e^+ e^- \rightarrow e^+ e^- \kappa^+ \kappa^- & & \end{array} $$

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

$$ \begin{array}{lccccccc} & 49 \pm 11 \pm 13 & & 2 & \text{ACCIARRI} & 01H & \text{L3} & \gamma\gamma \rightarrow \kappa_S^0 \kappa_S^0, E_{cm}^e = 91, & & \\ & & & & & & & & & 183-209 \text{ GeV} & & \end{array} $$

¹ Assuming spin 2.

² Spin 2 dominant, isospin not determined, could also be I=1.

a₂(1700) BRANCHING RATIOS

$$ \begin{array}{lccccccc} & \boxed{\Gamma(\rho\pi)} & \times & \boxed{\Gamma(f_2(1270)\pi)} & & & & \\ \text{VALUE} & \text{EVTS} & & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & & \\ \hline & 3.4 \pm 0.4 \pm 0.1 & & 18k & 1 & \text{SCHEGELSKY 06} & \text{RVUE} & \gamma\gamma \rightarrow \pi^+\pi^-\pi^0 & & \end{array} $$

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

¹ From analysis of L3 data at 183–209 GeV.

$$ \begin{array}{lccccccc} & \boxed{\Gamma(\kappa\bar{K})} & \times & \boxed{\Gamma(\eta\pi)} & & & & \\ \text{VALUE} & \text{EVTS} & & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & & \\ \hline & 0.029 \pm 0.04 \pm 0.01 & & 1 & \text{KOPF} & 21 & \text{RVUE} & 0.9 \rho \bar{p} \rightarrow \pi^0 \pi^0 \eta, \pi^0 \eta \eta, \pi^0 \kappa^+ \kappa^- \text{ and } 191 \pi^- p \rightarrow \pi^- \pi^- \pi^+ p & & \end{array} $$

$$ \begin{array}{lccccccc} & 4.134 \pm 0.106 \pm 4.909 & & 2 & \text{ALBRECHT} & 20 & \text{RVUE} & 0.9 \bar{p} p \rightarrow \pi^0 \pi^0 \eta, \pi^0 \eta \eta, \pi^0 \kappa^+ \kappa^- & & \end{array} $$

¹ From T-matrix pole based on combined fit of Crystal Barrel and ππ scattering data (ALBRECHT 20), and COMPASS data (ADOLPH 15), using a coupled-channel model of ηπ, η'π and K̄K systems.

² Residues from T-matrix pole, 2 poles, 2 channels (πη, K̄K).

$$ \begin{array}{lccccccc} & \boxed{\Gamma(\eta'\pi)} & \times & \boxed{\Gamma(\eta\pi)} & & & & \\ \text{VALUE} & \text{EVTS} & & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & & \\ \hline & 0.035 \pm 0.044 \pm 0.069 & & 1 & \text{KOPF} & 21 & \text{RVUE} & 0.9 \rho \bar{p} \rightarrow \pi^0 \pi^0 \eta, \pi^0 \eta \eta, \pi^0 \kappa^+ \kappa^- \text{ and } 191 \pi^- p \rightarrow \pi^- \pi^- \pi^+ p & & \end{array} $$

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

¹ From T-matrix pole based on combined fit of Crystal Barrel and ππ scattering data (ALBRECHT 20), and COMPASS data (ADOLPH 15), using a coupled-channel model of ηπ, η'π and K̄K systems.

a₂(1700) REFERENCES

<table><tr><td>KOPF</td><td>21</td><td>EPJ C81 1056</td><td>B. Kopf et al.</td><td>(BOCH)</td></tr><tr><td>ALBRECHT</td><td>20</td><td>EPJ C80 453</td><td>M. Albrecht et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>RODAS</td><td>19</td><td>PRL 122 042002</td><td>A. Rodas et al.</td><td>(JPAC Collab.)</td></tr><tr><td>AGHASYAN</td><td>18B</td><td>PR D98 092003</td><td>M. Aghasyan et al.</td><td>(COMPASS Collab.)</td></tr><tr><td>JACKURA</td><td>18</td><td>PL B779 464</td><td>A. Jackura et al.</td><td>(JPAC and COMPASS Collab.)</td></tr><tr><td>ABLIKIM</td><td>17K</td><td>PR D95 032002</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ADOLPH</td><td>15</td><td>PL B740 303</td><td>M. Adolph et al.</td><td>(COMPASS Collab.)</td></tr><tr><td>ANOVICH</td><td>09</td><td>IJMP A24 2481</td><td>V.V. Anisovich, A.V. Sarantsev</td><td>(PNPI)</td></tr><tr><td>SCHEGELSKY</td><td>06</td><td>EPJ A27 199</td><td>V.A. Schegelbky et al.</td><td></td></tr><tr><td>SCHEGELSKY</td><td>06A</td><td>EPJ A27 207</td><td>V.A. Schegelbky et al.</td><td></td></tr><tr><td>UMAN</td><td>06</td><td>PR D73 052009</td><td>I. Uman et al.</td><td>(FNAL E835)</td></tr><tr><td>LU</td><td>05</td><td>PRL 94 032002</td><td>M. Lu et al.</td><td>(BNL E852 Collab.)</td></tr><tr><td>ABE</td><td>04</td><td>EPJ C32 323</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AMSLER</td><td>02</td><td>EPJ C23 29</td><td>C. Amsler et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>ACCIARRI</td><td>01H</td><td>PL B501 173</td><td>M. Acciarri et al.</td><td>(L3 Collab.)</td></tr><tr><td>ABELE</td><td>99B</td><td>EPJ C8 67</td><td>A. Abele et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>GRYGOREV</td><td>99</td><td>PAN 62 470</td><td>V.K. Grygorev et al.</td><td></td></tr><tr><td>ACCIARRI</td><td>97T</td><td>PL B413 147</td><td>M. Acciarri et al.</td><td>(L3 Collab.)</td></tr></table>

$$ I^G(J^{PC}) = 1^{-}(0^{++}) $$

a₀(1710)

OMITTED FROM SUMMARY TABLE

Evidence for this state is also inferred from the interference of the $K^+K^-$ and $K_S^0K_S^0$ decays of the $f_0(1710)$ in $D_S^+ \rightarrow f_0(1710)\pi^+$, leading to a relative branching ratio an order of magnitude larger than expected from isospin symmetry (ABLIKIM 22F). See also the review on "Spectroscopy of Light Meson Resonances."

a₀(1710) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1713 &plusmn; 19</td><td colspan="3">OUR AVERAGE</td></tr><tr><td>1736 &plusmn; 10 &plusmn; 12</td><td>1 AAIJ</td><td>23AH LHCB</td><td>B<sup>+</sup> &rarr; K<sup>+</sup> (K<sub>S</sub><sup>0</sup> K&pi;)</td></tr><tr><td>1817 &plusmn; 8 &plusmn; 20</td><td>2 ABLIKIM</td><td>22AH BES3</td><td>D<sub>S</sub><sup>+</sup> &rarr; K<sub>S</sub><sup>0</sup> K<sup>+</sup> &pi;<sup>0</sup></td></tr><tr><td>1704 &plusmn; 5 &plusmn; 2</td><td>LEES</td><td>21A BABR</td><td>&eta;<sub>C</sub>(1S) &rarr; &pi;<sup>+</sup>&pi;<sup>-</sup> &eta;</td></tr></tbody></table>

¹ From Dalitz plot analyses of $\eta_C(1S, 2S) \rightarrow K_S^0 K^+ \pi^- + \text{c.c.}$.

² Observed to decay into $K_S^0 K^+$ in a Breit-Wigner amplitude analysis involving $D_S^+$ decays into $\bar{K}^*(892)^0 K^+$, $\bar{K}^*(892)^+ K_S^0$, $\bar{K}^*(1410)^0 K^+$, $a_0(980)^+ \pi^0$, and $a_0(1817)^+ \pi^0$.

WEIGHTED AVERAGE
1713±19 (Error scaled by 3.8)

<figure><img src="image_489.png" /><figcaption>a₀(1710) MASS (MeV)</figcaption></figure>

a₀(1710) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>107 &plusmn; 15</td><td colspan="3">OUR AVERAGE</td></tr><tr><td>134 &plusmn; 19 &plusmn; 61</td><td>1 AAIJ</td><td>23AH LHCB</td><td>B<sup>+</sup> &rarr; K<sup>+</sup> (K<sub>S</sub><sup>0</sup> K&pi;)</td></tr><tr><td>97 &plusmn; 22 &plusmn; 15</td><td>2 ABLIKIM</td><td>22AH BES3</td><td>D<sub>S</sub><sup>+</sup> &rarr; K<sub>S</sub><sup>0</sup> K<sup>+</sup> &pi;<sup>0</sup></td></tr><tr><td>110 &plusmn; 15 &plusmn; 11</td><td>LEES</td><td>21A BABR</td><td>&eta;<sub>C</sub>(1S) &rarr; &pi;<sup>+</sup>&pi;<sup>-</sup> &eta;</td></tr></tbody></table>

¹ From Dalitz plot analyses of $\eta_C(1S, 2S) \rightarrow K_S^0 K^+ \pi^- + \text{c.c.}$.

² Observed to decay into $K_S^0 K^+$ in a Breit-Wigner amplitude analysis involving $D_S^+$ decays into $\bar{K}^*(892)^0 K^+$, $\bar{K}^*(892)^+ K_S^0$, $\bar{K}^*(1410)^0 K^+$, $a_0(980)^+ \pi^0$, and $a_0(1817)^+ \pi^0$.

a₀(1710) 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></td><td>πη</td></tr><tr><td>Γ<sub>2</sub></td><td>K<sup>+</sup>K<sup>-</sup></td></tr><tr><td>Γ<sub>3</sub></td><td>K<sub>S</sub><sup>0</sup>K<sub>S</sub><sup>0</sup></td></tr><tr><td>Γ<sub>4</sub></td><td>K<sub>S</sub><sup>0</sup>K<sup>+</sup></td></tr></tbody></table>

$$ \begin{array}{lccccccc} & \boxed{\Gamma(\pi\eta)} & \times & \boxed{\Gamma_{\text{total}}} & & & & \\ \text{VALUE} & \text{EVTS} & & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & & \\ \text{seen} & & & & & & & \end{array} $$

$$ \begin{array}{lccccccc} & \boxed{\Gamma(\kappa^+\kappa^-)} & \times & \boxed{\Gamma(K_S^0 K_S^0)} & & & & \\ \text{VALUE} & \text{EVTS} & & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & & \\ \text{seen} & & & & & & & \end{array} $$

$$ \begin{array}{lccccccc} & 0.32 \pm 0.12 & & 1 & \text{ABLIKIM} & 22F & \text{BES3} & D_S^+ \rightarrow K_S^0 K_S^0 \pi^+ & \end{array} $$

¹ Using $D_S^+ \rightarrow K^+K^-\pi^+$ from ABLIKIM 21Ae. The apparent violation of isospin symmetry may be due to a destructive interference with the $f_0(1710)$ in the $K^+K^-$ channel, and a constructive interference in the $K_S^0K_S^0$ channel.

$$ \begin{array}{lccccccc} & \boxed{\Gamma(K_S^0 K^+)} & \times & \boxed{\Gamma_{\text{total}}} & & & & \\ \text{VALUE} & \text{EVTS} & & \text{DOCUMENT ID} & \text{TECN} & \text{COMMENT} & & \\ \text{seen} & & & & & & & \end{array} $$

a₀(1710) 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>ABLIKIM</td><td>22AH PRL 129 182001</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>22F PR D105 L051103</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>21AE PR D104 012016</td><td>M. Ablikim et al.</td><td>(BESIII 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></table>
$f_0(1710)$

$I^G(J^PC) = 0^+(0^+)$

See the review on "Spectroscopy of Light Meson Resonances."

$f_0(1710)$ T-MATRIX POLE $\sqrt{s}$

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

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">(1680-1820) - i (50-180) OUR ESTIMATE</td></tr><tr><td>(1769 ± 8) - i (78 ± 6)</td><td>1 RODAS</td><td>22</td><td>RVUE J/ψ(1S) → γ (ππ, K<sup>0</sup><sub>S</sub>)</td></tr><tr><td>(1700 ± 18) - i (127 ± 12)</td><td>SARANTSEV</td><td>21</td><td>RVUE J/ψ(1S) → γ (ππ, K<sup>0</sup><sub>S</sub>, ηη, ωφ<sup>0</sup>)</td></tr><tr><td>(1803 ± 3.5<sup>+45.5</sup><sub>-10.4</sub>) - i (145 ± 2.5<sup>+16.3</sup><sub>-9.6</sub>)</td><td>2 ALBRECHT</td><td>20</td><td>RVUE 0.9 p̄p → π<sup>0</sup>π<sup>0</sup>η, π<sup>0</sup>π<sup>0</sup>K<sup>+</sup>K<sup>-</sup></td></tr><tr><td>(1732 ± 15) - i (160<sup>+25</sup><sub>-10</sub>)</td><td>3 ANISOVICH</td><td>03</td><td>RVUE ππ, K<sup>0</sup><sub>S</sub>, ηη, ηη', ππππ</td></tr><tr><td>(1698 ± 18) - i (60 ± 13)</td><td>BARBERIS</td><td>00E</td><td>OMEG 450 pp → pF ηηp<sub>S</sub></td></tr><tr><td>(1770 ± 12) - i (110 ± 20)</td><td>4 ANISOVICH</td><td>99B</td><td>SPEC 0.6-1.2 p̄p → ηηπ<sup>0</sup></td></tr><tr><td>(1727 ± 12 ± 11) - i (63 ± 8 ± 9)</td><td>BARBERIS</td><td>99D</td><td>OMEG 450 pp → K<sup>+</sup>K<sup>-</sup>, π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>(1750 ± 30) - i (125 ± 70)</td><td>ANISOVICH</td><td>98B</td><td>RVUE Compilation</td></tr></tbody></table><p>1 T-matrix pole from coupled channel K-matrix fit to data on J/ψ → γπ<sup>0</sup>π<sup>0</sup> (AB-LIKIM 15AE) and J/ψ → γK<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub> (ABLIKIM 18AA).</p><p>2 T-matrix pole, 5 poles, 5 channels, including scattering data from HYAMS 75 (ππ), LONGACRE 86 (K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>), BINON 83 (ηη), and BINON 84c (ηη').</p><p>3 Solution I.</p><p>4 Not seen by AMSLER 02.</p>

$f_0(1710)$ Breit-Wigner MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5">1733<sup>+8</sup><sub>-7</sub> OUR AVERAGE</td></tr><tr><td>1757 ± 24</td><td>9</td><td>LEES</td><td>21A</td><td>BABR η<sub>C</sub>(1S) → η'K<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1759 ± 6</td><td><sup>+14</sup><sub>-25</sub></td><td>5.5k</td><td>1 ABLIKIM</td><td>13N BES3 e<sup>+</sup>e<sup>-</sup> → J/ψ → γηη</td></tr><tr><td>1750<sup>+6</sup><sub>-7</sub></td><td><sup>+29</sup><sub>-18</sub></td><td></td><td>2 UEHARA</td><td>13 BELL γγ → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub></td></tr><tr><td>1701 ± 5</td><td><sup>+9</sup><sub>-2</sub></td><td>4k</td><td>3 CHEKANOV</td><td>08 ZEUS ep → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>X</td></tr><tr><td>1765<sup>+4</sup><sub>-3</sub></td><td>±13</td><td></td><td>ABLIKIM</td><td>06V BES2 e<sup>+</sup>e<sup>-</sup> → J/ψ → γπ<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1738 ± 30</td><td></td><td></td><td>ABLIKIM</td><td>04E BES2 J/ψ → ωK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1740 ± 4</td><td><sup>+10</sup><sub>-25</sub></td><td></td><td>BAI</td><td>03G BES J/ψ → γK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1740<sup>+30</sup><sub>-25</sub></td><td></td><td></td><td>BAI</td><td>00A BES J/ψ → γ(π<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>1710 ± 25</td><td></td><td>4 FRENCH</td><td>99</td><td>300 pp → pF (K<sup>+</sup>K<sup>-</sup>)p<sub>S</sub></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1744 ± 7</td><td>± 5</td><td>381</td><td>5.6 DOBBS</td><td>15 J/ψ → γπ<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1705 ± 11</td><td>± 5</td><td>237</td><td>5.6 DOBBS</td><td>15 ψ(2S) → γπ<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1706 ± 4</td><td>± 5</td><td>1.0k</td><td>5.6 DOBBS</td><td>15 J/ψ → γK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1690 ± 8</td><td>± 3</td><td>349</td><td>5.6 DOBBS</td><td>15 ψ(2S) → γK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1750 ± 13</td><td></td><td></td><td>AMSLER</td><td>06 CBAR 1.64 p̄p → K<sup>+</sup>K<sup>-</sup>π<sup>0</sup></td></tr><tr><td>1747 ± 5</td><td>80k</td><td></td><td>7 UMAN</td><td>06 E835 5.2 p̄p → γηπ<sup>0</sup></td></tr><tr><td>1776 ± 15</td><td></td><td></td><td>VLADIMIRSK...06</td><td>SPEC 40 π<sup>-</sup> → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub></td></tr><tr><td>1670 ± 20</td><td></td><td></td><td>BINON</td><td>05 GAMS 33 π<sup>-</sup> → γηη</td></tr><tr><td>1682 ± 16</td><td></td><td></td><td>TIKHOMIROV</td><td>03 SPEC 40.0 π<sup>-</sup> → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>K<sup>0</sup>X</td></tr><tr><td>1670 ± 26</td><td>3.6k</td><td></td><td>8 NICHITIU</td><td>02 OBLX 0 p̄p → K<sup>+</sup>K<sup>-</sup>π<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1730 ± 15</td><td></td><td></td><td>BARBERIS</td><td>99 OMEG 450 pp → p<sub>S</sub>pF K<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1750 ± 20</td><td></td><td></td><td>BARBERIS</td><td>99B OMEG 450 pp → p<sub>S</sub>pF π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1720 ± 39</td><td></td><td></td><td>BAI</td><td>98H BES J/ψ → γπ<sup>0</sup>π<sup>0</sup></td></tr><tr><td>1775 ± 1.5</td><td>57</td><td></td><td>9 BARKOV</td><td>98 π<sup>-</sup> → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub></td></tr><tr><td>1690 ± 11</td><td></td><td></td><td>10 ABREU</td><td>96C DLPH Z<sup>0</sup> → K<sup>+</sup>K<sup>-</sup> + X</td></tr><tr><td>1696 ± 5</td><td><sup>+9</sup><sub>-34</sub></td><td></td><td>11 BAI</td><td>96C BES J/ψ → γK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1781 ± 8</td><td><sup>+10</sup><sub>-31</sub></td><td></td><td>BAI</td><td>96C BES J/ψ → γK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1768 ± 14</td><td></td><td></td><td>BALOSHIN</td><td>95 SPEC 40 π<sup>-</sup> → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>X</td></tr><tr><td>1750 ± 15</td><td></td><td></td><td>12 BUGG</td><td>95 MRK3 J/ψ → γπ<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1620 ± 16</td><td></td><td></td><td>11 BUGG</td><td>95 MRK3 J/ψ → γπ<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1748 ± 10</td><td></td><td></td><td>13 ARMSTRONG</td><td>93c E760 p̄p → π<sup>0</sup>ηη → 6γ</td></tr><tr><td>~ 1750</td><td></td><td></td><td>BREAKSTONE</td><td>93 SFM pp → ppπ<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1744 ± 15</td><td></td><td></td><td>14 ALDE</td><td>92d GAM2 38 π<sup>-</sup> → ηηn</td></tr><tr><td>1713 ± 10</td><td></td><td></td><td>15 ARMSTRONG</td><td>89d OMEG 300 pp → ppK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1706 ± 10</td><td></td><td></td><td>15 ARMSTRONG</td><td>89d OMEG 300 pp → ppK<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub></td></tr><tr><td>1707 ± 10</td><td></td><td></td><td>13 AUGUSTIN</td><td>88 DM2 J/ψ → γK<sup>+</sup>K<sup>-</sup>, K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub></td></tr><tr><td>1700 ± 15</td><td></td><td></td><td>11 BOLONKIN</td><td>88 SPEC 40 π<sup>-</sup> → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>n</td></tr><tr><td>1720 ± 60</td><td></td><td></td><td>BOLONKIN</td><td>88 SPEC 40 π<sup>-</sup> → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>n</td></tr><tr><td>1638 ± 10</td><td></td><td></td><td>16 FALVARD</td><td>88 DM2 J/ψ → φK<sup>+</sup>K<sup>-</sup>, K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub></td></tr><tr><td>1690 ± 4</td><td></td><td></td><td>17 FALVARD</td><td>88 DM2 J/ψ → φK<sup>+</sup>K<sup>-</sup>, K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub></td></tr></tbody></table>

<table><tbody><tr><td>1698 ± 15</td><td></td><td>13 AUGUSTIN</td><td>87 DM2</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup></td></tr><tr><td>1720 ± 10</td><td>± 10</td><td>11 BALTRUSAIT...87</td><td>MRK3</td><td>J/ψ → γK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>1755 ± 8</td><td></td><td>18 ALDE</td><td>86C GAM2</td><td>38 π<sup>-</sup> → n2η</td></tr><tr><td>1730<sup>+2</sup><sub>-10</sub></td><td></td><td>19 LONGACRE</td><td>86 RVUE</td><td>22 π<sup>-</sup> → n2K<sup>0</sup><sub>S</sub></td></tr><tr><td>1742 ± 15</td><td></td><td>13 WILLIAMS</td><td>84 MPSF</td><td>200 π<sup>-</sup> → N → 2K<sup>0</sup><sub>S</sub>X</td></tr><tr><td>1670 ± 50</td><td></td><td>BLOOM</td><td>83 CBAL</td><td>J/ψ → γ2η</td></tr><tr><td>1650 ± 50</td><td></td><td>BURKE</td><td>82 MRK2</td><td>J/ψ → γ2ρ</td></tr><tr><td>1640 ± 50</td><td></td><td>20,21 EDWARDS</td><td>82D CBAL</td><td>J/ψ → γ2η</td></tr><tr><td>1730 ± 10</td><td>± 20</td><td>22 ETKIN</td><td>82C MPS</td><td>23 π<sup>-</sup> → n2K<sup>0</sup><sub>S</sub></td></tr></tbody></table>

1 From partial wave analysis including all possible combinations of 0<sup>++</sup>, 2<sup>++</sup>, and 4<sup>++</sup> resonances.

2 Spin 0 favored over spin 2.

3 In the SU(3) based model with a specific interference pattern of the $f_0(1270)$, $a_2^0(1320)$, and $f'_2(1525)$ mesons incoherently added to the $f_0(1710)$ and non-resonant background.

4 $J^P = 0^+$, supersedes ARMSTRONG 89D.

5 Using CLEO-c data but not authored by the CLEO Collaboration.

6 From a fit to a Breit-Wigner line shape with fixed $\Gamma = 135$ MeV.

7 Systematic errors not estimated.

8 Decaying to $f_0(1370)\pi\pi$.

9 No $J^PC$ determination.

10 No $J^PC$ determination, width not determined.

11 $J^P = 2^+$.

12 From a fit to the 0<sup>+</sup> partial wave.

13 No $J^PC$ determination.

14 ALDE 92D combines all the GAMS-2000 data.

15 $J^P = 2^+$, supersedes by FRENCH 99.

16 From an analysis ignoring interference with $f'_2(1525)$.

17 From an analysis including interference with $f'_2(1525)$.

18 Superseded by ALDE 92D.

19 Uses MRK3 data. From a partial-wave analysis of data using a K-matrix formalism with 5 poles, but assuming spin 2. Fit with constrained inelasticity.

20 $J^P = 2^+$ preferred.

21 From fit neglecting nearby $f'_2(1525)$. Replaced by BLOOM 83.

22 Superseded by LONGACRE 86.

WEIGHTED AVERAGE
1733+8-7 (Error scaled by 1.5)

<figure><img src="image_490.png" /><figcaption>$f_0(1710)$ mass (MeV)</figcaption></figure>

$f_0(1710)$ Breit-Wigner 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 colspan="5">150 ± 12</td></tr><tr><td colspan="5">OUR AVERAGE</td></tr><tr><td colspan="5">Error includes scale factor of 1.3. See the ideogram below.</td></tr><tr><td>175 ± 23</td><td>± 4</td><td>LEES</td><td>21A</td><td>BABR η<sub>C</sub>(1S) → η'K<sup>+</sup>K<sup>-</sup></td></tr><tr><td>172 ± 10</td><td><sup>+32</sup><sub>-16</sub></td><td>5.5k</td><td>1 ABLIKIM</td><td>13N BES3 e<sup>+</sup>e<sup>-</sup> → J/ψ → γηη</td></tr><tr><td>139 ± 11</td><td><sup>+96</sup><sub>-50</sub></td><td></td><td>2 UEHARA</td><td>13 BELL γγ → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub></td></tr><tr><td>100 ± 24</td><td><sup>+7</sup><sub>-22</sub></td><td>4k</td><td>3 CHEKANOV</td><td>08 ZEUS ep → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>X</td></tr><tr><td>145 ± 8</td><td>± 69</td><td></td><td>ABLIKIM</td><td>06V BES2 e<sup>+</sup>e<sup>-</sup> → J/ψ → γπ<sup>+</sup>π<sup>-</sup></td></tr><tr><td>125 ± 20</td><td></td><td></td><td>ABLIKIM</td><td>04E BES2 J/ψ → ωK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>166 ± 5</td><td><sup>+15</sup><sub>-10</sub></td><td></td><td>BAI</td><td>03G BES J/ψ → γK<sup>+</sup>K<sup>-</sup></td></tr><tr><td>120 ± 50</td><td></td><td></td><td>BAI</td><td>00A BES J/ψ → γ(π<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>105 ± 34</td><td></td><td>4 FRENCH</td><td>99</td><td>300 pp → pF (K<sup>+</sup>K<sup>-</sup>)p<sub>S</sub></td></tr></tbody></table>

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

<table><tbody><tr><td>148 ± 40</td><td>± 30</td><td>AMSLER</td><td>06 CBAR</td><td>1.64 p̄p → K<sup>+</sup>K<sup>-</sup>π<sup>0</sup></td></tr><tr><td>188 ± 13</td><td></td><td>5 UMAN</td><td>06 E835</td><td>5.2 p̄p → ηηπ<sup>0</sup></td></tr><tr><td>250 ± 30</td><td></td><td>VLADIMIRSK...06</td><td>SPEC</td><td>40 π<sup>-</sup> → K<sup>0</sup><sub>S</sub>K<sup>0</sup><sub>S</sub>n</td></tr></tbody></table>
<table><tbody><tr><td>260</td><td>± 50</td><td>BINON</td><td>05</td><td>GAMS</td><td>33 π<sup>-</sup> p → ηηη</td></tr><tr><td>102</td><td>± 26</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>0</sup> K<sub>S</sub><sup>0</sup> X</td></tr><tr><td>267</td><td>± 44</td><td>3651</td><td>6</td><td>NICHITIU</td><td>02 OBXL 0 p p → K<sup>+</sup> K<sup>+</sup> π<sup>+</sup> π<sup>-</sup> π<sup>0</sup></td></tr><tr><td>100</td><td>± 25</td><td>BARBERIS</td><td>99</td><td>OMEG</td><td>450 pp → p<sub>S</sub> p<sub>F</sub> K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>160</td><td>± 30</td><td>BARBERIS</td><td>99b</td><td>OMEG</td><td>450 pp → p<sub>S</sub> p<sub>F</sub> π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>30</td><td>± 7</td><td>57</td><td>7</td><td>BARKOV</td><td>98 π<sup>-</sup> p → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> n</td></tr><tr><td>103</td><td>± 18</td><td>+30<br>-11</td><td>8</td><td>BAI</td><td>96c BES J/ψ → γK<sup>+</sup> K<sup>-</sup></td></tr><tr><td>85</td><td>± 24</td><td>+22<br>-19</td><td>BAI</td><td>96c BES</td><td>J/ψ → γK<sup>+</sup> K<sup>-</sup></td></tr><tr><td>56</td><td>± 19</td><td>BALOSHIN</td><td>95</td><td>SPEC</td><td>40 π<sup>-</sup> C → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> X</td></tr><tr><td>160</td><td>± 40</td><td>9</td><td>BUGG</td><td>95</td><td>MRK3 J/ψ → γπ<sup>+</sup> π<sup>-</sup> π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>160</td><td>± 60</td><td>+20<br>-20</td><td>8</td><td>BUGG</td><td>95 MRK3 J/ψ → γπ<sup>+</sup> π<sup>-</sup> π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>264</td><td>± 25</td><td></td><td>10</td><td>ARMSTRONG</td><td>93C E760 p p → π<sup>0</sup> ηη → 6γ</td></tr><tr><td>200</td><td>to 300</td><td></td><td>11</td><td>BREAKSTONE</td><td>93 SFM pp → pp π<sup>+</sup> π<sup>-</sup> π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>&lt; 80 90% CL</td><td></td><td></td><td>12</td><td>ALDE</td><td>92D GAM2 38 π<sup>-</sup> p → ηηN<sup>*</sup></td></tr><tr><td>181</td><td>± 30</td><td></td><td>12</td><td>ARMSTRONG</td><td>89D OMEG 300 pp → pp K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>104</td><td>± 30</td><td></td><td>12</td><td>ARMSTRONG</td><td>89d OMEG 300 pp → pp K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup></td></tr><tr><td>166.4 ± 33.2</td><td></td><td></td><td>10</td><td>AUGUSTIN</td><td>88 DM2 J/ψ → γK<sup>+</sup> K<sup>-</sup>, K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> n</td></tr><tr><td>30</td><td>± 20</td><td></td><td>8</td><td>BOLONKIN</td><td>88 SPEC 40 π<sup>-</sup> p → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> n</td></tr><tr><td>350</td><td>± 150</td><td></td><td>88</td><td>BOLONKIN</td><td>40 π<sup>-</sup> p → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> n</td></tr><tr><td>148</td><td>± 17</td><td></td><td>13</td><td>FALVARD</td><td>88 DM2 J/ψ → φK<sup>+</sup> K<sup>-</sup>, K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup></td></tr><tr><td>184</td><td>± 6</td><td></td><td>14</td><td>FALVARD</td><td>88 DM2 J/ψ → φK<sup>+</sup> K<sup>-</sup>, K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup></td></tr><tr><td>136</td><td>± 28</td><td></td><td>10</td><td>AUGUSTIN</td><td>87 DM2 J/ψ → γπ<sup>+</sup> π<sup>-</sup></td></tr><tr><td>130</td><td>± 20</td><td></td><td>8</td><td>BALTRUSAIT...</td><td>87 MRK3 J/ψ → γK<sup>+</sup> K<sup>-</sup></td></tr><tr><td>122</td><td>+74<br>-15</td><td></td><td>15</td><td>LONGACRE</td><td>86 RVUE 22 π<sup>-</sup> p → n2K<sub>S</sub><sup>0</sup></td></tr><tr><td>57</td><td>± 38</td><td></td><td>16</td><td>WILLIAMS</td><td>84 MPSF 200 π<sup>-</sup> N → 2K<sub>S</sub><sup>0</sup> X</td></tr><tr><td>160</td><td>± 80</td><td></td><td>83</td><td>BLOOM</td><td>J/ψ → γ2η</td></tr><tr><td>200</td><td>± 100</td><td></td><td>82</td><td>BURKE</td><td>J/ψ → γ2p</td></tr><tr><td>220</td><td>+100<br>-70</td><td></td><td>17,18</td><td>EDWARDS</td><td>82d CBAL J/ψ → γ2η</td></tr><tr><td>200</td><td>+156<br>-9</td><td></td><td>19</td><td>ETKIN</td><td>82b MPS 23 π<sup>-</sup> p → n2K<sub>S</sub><sup>0</sup></td></tr></tbody></table>

1 From partial wave analysis including all possible combinations of 0<sup>++</sup>, 2<sup>++</sup>, and 4<sup>++</sup> resonances.

2 Spin 0 favored over spin 2.

3 In the SU(3) based model with a specific interference pattern of the $f_2(1270)$, $\delta_0(1320)$, and $f'_2(1525)$ mesons incoherently added to the $f_0(1710)$ and non-resonant background.

4 $J^P = 0^+$, supersedes ARMSTRONG 89D.

5 Systematic errors not estimated.

6 Decaying to $f_0(1370)\pi\pi$.

7 $N_0 J^PC$ determination.

8 $J^P = 2^+$.

9 From a fit to the 0<sup>+</sup> partial wave.

10 $N_0 J^PC$ determination.

11 ALDE 92D combines all the GAMS-2000 data.

12 $J^P = 2^+$, (0<sup>+</sup> excluded).

13 From an analysis ignoring interference with $f'_2(1525)$.

14 From an analysis including interference with $f'_2(1525)$.

15 Uses MRK3 data. From a partial-wave analysis of data using a K-matrix formalism with 5 poles, but assuming spin 2. Fit with constrained inelasticity.

16 $N_0 J^PC$ determination.

17 $J^P = 2^+$ preferred.

18 From fit neglecting nearby $f'_2(1525)$. Replaced by BLOOM 83.

19 From an amplitude analysis of the $K_S^0 K_S^0$ system, superseded by LONGACRE 86.

<figure><img src="image_491.png" /><figcaption>$f_0(1710)$ width (MeV)</figcaption></figure>

## $f_0(1710)$ 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<span style="text-decoration: overline">K</span></td><td>seen</td></tr><tr><td>Γ<sub>2</sub> ηη</td><td>seen</td></tr></tbody></table>

<table><tbody><tr><td>Γ<sub>3</sub></td><td>ηη'</td><td>not seen</td></tr><tr><td>Γ<sub>4</sub></td><td>ππ</td><td>seen</td></tr><tr><td>Γ<sub>5</sub></td><td>γγ</td><td>seen</td></tr><tr><td>Γ<sub>6</sub></td><td>ωω</td><td>seen</td></tr></tbody></table>

## $f_0(1710)$ $\Gamma(i)\Gamma(\gamma\gamma)/\Gamma(\text{total})$

<table><caption>Γ(K<span style="text-decoration: overline">K</span>) × Γ(γγ)/Γ<sub>total</sub></caption><thead><tr><th>VALUE (eV)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>12<sup>+3</sup>/<sub>-2</sub> +227/8</td><td></td><td>UEHARA</td><td>13</td><td>γγ → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup></td></tr></tbody></table>

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

<table><tbody><tr><td>&lt;480</td><td>95</td><td>ALBRECHT</td><td>90G</td><td>ARG</td><td>γγ → K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>&lt;110</td><td>95</td><td>1 BEHREND</td><td>89c</td><td>CELL</td><td>γγ → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup></td></tr><tr><td>&lt;280</td><td>95</td><td>1 ALTHOFF</td><td>85b</td><td>TASS</td><td>γγ → K<span style="text-decoration: overline">K</span>π</td></tr></tbody></table>

1 Assuming helicity 2.

<table><caption>Γ(ππ) × Γ(γγ)/Γ<sub>total</sub></caption><thead><tr><th>VALUE (keV)</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.82</td><td>95</td><td>1 BARATE</td><td>00E</td><td>ALEC</td><td>γγ → π<sup>+</sup> π<sup>-</sup></td></tr></tbody></table>

1 Assuming spin 0.

## $f_0(1710)$ BRANCHING RATIOS

<table><caption>Γ(K<span style="text-decoration: overline">K</span>) / Γ<sub>total</sub></caption><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody></tbody></table>

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

<table><tbody><tr><td>seen</td><td>1004</td><td>1 DOBBS</td><td>15</td><td>J/ψ → γK<sup>+</sup> K<sup>-</sup></td></tr><tr><td>seen</td><td>349</td><td>1 DOBBS</td><td>15</td><td>ψ(2S) → γK<sup>+</sup> K<sup>-</sup></td></tr><tr><td>0.36 ± 0.12</td><td></td><td>ALBALADEJO</td><td>08</td><td>RVUE</td></tr><tr><td>0.38 ± 0.09<br/>-0.19</td><td></td><td>2 LONGACRE</td><td>86</td><td>MPS 22 π<sup>-</sup> p → n2K<sub>S</sub><sup>0</sup></td></tr></tbody></table>

1 Using CLEO-c data but not authored by the CLEO Collaboration.

2 From a partial-wave analysis of data using a K-matrix formalism with 5 poles, but assuming spin 2. Fit with constrained inelasticity.

<table><caption>Γ(ηη)/Γ<sub>total</sub></caption><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody></tbody></table>

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

<table><tbody><tr><td>0.22 ± 0.12</td><td></td><td>ALBALADEJO</td><td>08</td><td>RVUE</td></tr><tr><td>0.18 ± 0.03<br/>-0.13</td><td></td><td>1 LONGACRE</td><td>86</td><td>RVUE</td></tr></tbody></table>

1 From a partial-wave analysis of data using a K-matrix formalism with 5 poles, but assuming spin 2. Fit with constrained inelasticity.

<table><caption>Γ(ηη)/Γ(K<span style="text-decoration: overline">K</span>)</caption><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.48 ± 0.15</td><td></td><td>BARBERIS</td><td>00E</td><td>450 pp → p<sub>F</sub> ηη p<sub>S</sub></td></tr></tbody></table>

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

<table><tbody><tr><td>0.46<sup>+0.70</sup><sub>-0.38</sub></td><td></td><td>1 ANISOVICH</td><td>02D</td><td>SPEC Combined fit</td></tr><tr><td>&lt;0.02</td><td>90</td><td>2 PROKOSHKIN</td><td>91</td><td>GA24 300 π<sup>-</sup> p → π<sup>-</sup> pηη</td></tr></tbody></table>

1 From a combined K-matrix analysis of Crystal Barrel (0. p<span style="text-decoration: overline">p</span> → π<sup>0</sup> π<sup>0</sup> π<sup>0</sup>, π<sup>0</sup>ηη, π<sup>0</sup>πη), GAMS (πp → π<sup>0</sup>π<sup>0</sup> n, ηηn, ηη'n), and BNL (πp → K<span style="text-decoration: overline">K</span>n) data.

2 Combining results of GAM4 with those of ARMSTRONG 89D.

<table><caption>Γ(ππ)/Γ<sub>total</sub></caption><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody></tbody></table>

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

<table><tbody><tr><td>seen</td><td>381</td><td>1 DOBBS</td><td>15</td><td>J/ψ → γπ<sup>+</sup> π<sup>-</sup></td></tr><tr><td>seen</td><td>237</td><td>1 DOBBS</td><td>15</td><td>ψ(2S) → γπ<sup>+</sup> π<sup>-</sup></td></tr><tr><td>not seen</td><td></td><td>AMSLER</td><td>02</td><td>CBAR 0.9 p<span style="text-decoration: overline">p</span> → π<sup>0</sup>ηη, π<sup>0</sup>π<sup>0</sup> π<sup>0</sup></td></tr><tr><td>0.039<sup>+0.002</sup><sub>-0.024</sub></td><td></td><td>2 LONGACRE</td><td>86</td><td>RVUE</td></tr></tbody></table>

1 Using CLEO-c data but not authored by the CLEO Collaboration.

2 From a partial-wave analysis of data using a K-matrix formalism with 5 poles, but assuming spin 2. Fit with constrained inelasticity.

<table><caption>Γ(ππ)/Γ(K<span style="text-decoration: overline">K</span>)</caption><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody></tbody></table>

<table><tbody><tr><td>0.23 ± 0.05</td><td>OUR AVERAGE</td><td>Error includes scale factor of 1.2.</td><td></td><td></td></tr><tr><td>0.64 ± 0.27</td><td>± 0.18</td><td>LEES</td><td>18A</td><td>BABR T(15) → γπ<sup>+</sup> π<sup>-</sup>, γK<sup>+</sup> K<sup>-</sup></td></tr><tr><td>0.41<sup>+0.11</sup><sub>-0.17</sub></td><td></td><td>ABLIKIM</td><td>06V</td><td>BES2 e<sup>+</sup> e<sup>-</sup> → J/ψ → γπ<sup>+</sup> π<sup>-</sup></td></tr><tr><td>0.2 ± 0.024</td><td>± 0.036</td><td>BARBERIS</td><td>99D</td><td>OMEG 450 pp → K<sup>+</sup> K<sup>-</sup>, π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>0.39 ± 0.14</td><td></td><td>ARMSTRONG</td><td>91</td><td>OMEG 300 pp → pp ππ, pp K<span style="text-decoration: overline">K</span></td></tr></tbody></table>

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

<table><tbody><tr><td>0.32 ± 0.14</td><td></td><td>ALBALADEJO</td><td>08</td><td>RVUE</td></tr><tr><td>&lt; 0.11</td><td>95</td><td>1 ABLIKIM</td><td>04E</td><td>BES2 J/ψ → ωK<sup>+</sup> K<sup>-</sup></td></tr><tr><td>5.8<sup>+9.1</sup><sub>-5.5</sub></td><td></td><td>2 ANISOVICH</td><td>02D</td><td>SPEC Combined fit</td></tr></tbody></table>

1 Using data from ABLIKIM 04A.

2 From a combined K-matrix analysis of Crystal Barrel (0. p<span style="text-decoration: overline">p</span> → π<sup>0</sup> π<sup>0</sup> π<sup>0</sup>, π<sup>0</sup>ηη, π<sup>0</sup>πη), GAMS (πp → π<sup>0</sup>π<sup>0</sup> n, ηηn, ηη'n), and BNL (πp → K<span style="text-decoration: overline">K</span>n) data.
$\Gamma(\eta\eta')/\Gamma(\pi\pi)$

<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;2.87 &times; 10<sup>-3</sup></td><td>90</td><td>1 ABLIKIM</td><td>22AS BES3</td><td>J/ψ(15) → γηη'</td></tr></tbody></table>

¹ From a Breit-Wigner fit involving 9 resonances and a resonating exotic $\eta_1(1855) \to \eta\eta'$ P-wave.

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

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>180</td><td>ABLIKIM</td><td>06H BES</td><td>J/ψ → γωω</td></tr></tbody></table>

f0(1710) REFERENCES

<table><tbody><tr><td>ABLIKIM</td><td>22AS</td><td>PR D106 072012</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>Also</td><td>PR D107 079901 (errat.)</td><td>PR D107 079901</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>RODAS</td><td>22</td><td>EPJ C82 80</td><td>A. Rodas et al.</td><td>(JPAC Collab.)</td></tr><tr><td>LEES</td><td>21A</td><td>PR D104 072002</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>SARANTSEV</td><td>21</td><td>PL B816 136227</td><td>A.V. Sarantsev et al.</td><td>(BONN, PNPi)</td></tr><tr><td>ALBRECHT</td><td>20</td><td>EPJ C80 453</td><td>M. Albrecht et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>ABLIKIM</td><td>18AA</td><td>PR D98 072003</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>LEES</td><td>18A</td><td>PR D97 112006</td><td>J.P. Lees et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ABLIKIM</td><td>15AE</td><td>PR D92 052003</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>DOBBS</td><td>15</td><td>PR D91 052006</td><td>S. Dobbs et al.</td><td>(NWES)</td></tr><tr><td>ABLIKIM</td><td>13N</td><td>PR D87 092009</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>UEHARA</td><td>13</td><td>PTEP 2013 123C01</td><td>S. Uehara et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ALBADEAJO</td><td>08</td><td>PRL 101 252002</td><td>M. Albaladejo, J.A. Oller</td><td></td></tr><tr><td>CHEKANOV</td><td>08</td><td>PRL 101 112003</td><td>S. Chekanov et al.</td><td>(ZEUS Collab.)</td></tr><tr><td>ABLIKIM</td><td>06H</td><td>PRL D73 112007</td><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>ABLIKIM</td><td>06V</td><td>PL B642 441</td><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>AMSLER</td><td>06</td><td>PL B639 165</td><td>C. Amsler et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>UMAN</td><td>06</td><td>PR D73 052009</td><td>J.V. Uman et al.</td><td>(FNAL E835)</td></tr><tr><td>VLADIMIRSK...</td><td>06</td><td>PAN 69 493</td><td>V.V. Vladimirsky et al.</td><td>(ITEP, Moscow)</td></tr><tr><td>BINON</td><td>05</td><td>PAN 68 960</td><td>Translated from YAF 69 515.</td><td></td></tr><tr><td>ABLIKIM</td><td>04A</td><td>PL B598 149</td><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>ABLIKIM</td><td>04E</td><td>PL B603 138</td><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>ANISOVICH</td><td>03</td><td>EPJ A16 229</td><td>V.V. Anisovich et al.</td><td></td></tr><tr><td>BAI</td><td>03G</td><td>PR D68 052003</td><td>J.Z. Bai et al.</td><td>(BES Collab.)</td></tr><tr><td>TIKHIOMIROV</td><td>03</td><td>PAN 66 828</td><td>G.D. Tikhomirov et al.</td><td></td></tr><tr><td>AMSLER</td><td>02</td><td>EPJ C23 29</td><td>C. Amsler et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>ANISOVICH</td><td>02D</td><td>PAN 65 1545</td><td>V.V. Anisovich et al.</td><td></td></tr><tr><td>NICHITIU</td><td>02</td><td>PL B545 261</td><td>F. Nichitiu et al.</td><td>(OBELIX Collab.)</td></tr><tr><td>BAI</td><td>00A</td><td>PL B472 207</td><td>J.Z. Bai et al.</td><td>(BES Collab.)</td></tr><tr><td>BARATE</td><td>00E</td><td>PL B472 109</td><td>R. Barate et al.</td><td>(ALEPH Collab.)</td></tr><tr><td>BARBERIS</td><td>00E</td><td>PL B479 59</td><td>D. Barberis et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>ANISOVICH</td><td>99B</td><td>PL B449 154</td><td>A.V. Anisovich et al.</td><td></td></tr><tr><td>BARBERIS</td><td>99</td><td>PL B453 305</td><td>D. Barberis et al.</td><td>(Omega Expt.)</td></tr><tr><td>BARBERIS</td><td>99B</td><td>PL B453 316</td><td>D. Barberis et al.</td><td>(Omega Expt.)</td></tr><tr><td>BARBERIS</td><td>99D</td><td>PL B462 462</td><td>D. Barberis et al.</td><td>(Omega Expt.)</td></tr><tr><td>FRENCH</td><td>99</td><td>PL B460 213</td><td>B. French et al.</td><td>(WA76 Collab.)</td></tr><tr><td>ANISOVICH</td><td>98B</td><td>SPU 41 419</td><td>V.V. Anisovich et al.</td><td></td></tr><tr><td>BAI</td><td>98H</td><td>PRL 81 1179</td><td>J.Z. Bai et al.</td><td>(BES Collab.)</td></tr><tr><td>BARKOV</td><td>98</td><td>JETPL 68 764</td><td>B.P. Barkov et al.</td><td></td></tr><tr><td>ABREU</td><td>96C</td><td>PL B379 309</td><td>P. Abreu et al.</td><td>(DELPHI Collab.)</td></tr><tr><td>BAI</td><td>96C</td><td>PRL 77 3959</td><td>J.Z. Bai et al.</td><td>(BES Collab.)</td></tr><tr><td>BALOSHIN</td><td>95</td><td>PAN 58 46</td><td>O.N. Baloshin et al.</td><td>(ITEP)</td></tr><tr><td>BUGG</td><td>95</td><td>PL B353 378</td><td>D.V. Bugg et al.</td><td>(LOQM, PNPi, WASH)</td></tr><tr><td>ARMSTRONG</td><td>93C</td><td>PL B307 394</td><td>T.A. Armstrong et al.</td><td>(FNAL, FERR, GENO+)</td></tr><tr><td>BREAKSTONE</td><td>93</td><td>ZPHY C58 251</td><td>A.M. Breakstone et al.</td><td>(IOWA, CERN, DORT+)</td></tr><tr><td>ALDE</td><td>92D</td><td>PL B284 457</td><td>D.M. Alde et al.</td><td>(GAM2 Collab.)</td></tr><tr><td>Also</td><td></td><td>SJPN 54 451</td><td>D.M. Alde et al.</td><td>(GAM2 Collab.)</td></tr><tr><td>ARMSTRONG</td><td>91</td><td>ZPHY C51 351</td><td>Translated from YAF 54 745.</td><td></td></tr><tr><td>PROKOSHKIN</td><td>91</td><td>SPD 36 155</td><td>Y.D. Prokoshkin</td><td>(ATHU, BARI, BIRM+)</td></tr><tr><td>ALBRECHT</td><td>90G</td><td>ZPHY C48 183</td><td>H. Albrecht et al.</td><td>(ARGUS Collab.)</td></tr><tr><td>ARMSTRONG</td><td>89D</td><td>PL B227 186</td><td>T.A. Armstrong, M. Benayoun</td><td>(ATHU, BARI, BIRM+)</td></tr><tr><td>BEHREND</td><td>89C</td><td>ZPHY C43 91</td><td>H.J. Behrend et al.</td><td>(CELLO Collab.)</td></tr><tr><td>AUGUSTIN</td><td>88</td><td>PRL 60 2238</td><td>J.E. Augustin et al.</td><td>(DM2 Collab.)</td></tr><tr><td>BOLKONIN</td><td>88</td><td>PN B309 426</td><td>B.V. Bolkinok et al.</td><td>(ITEP, SERP)</td></tr><tr><td>FALVARD</td><td>88</td><td>PR D38 2706</td><td>A. Falvard et al.</td><td>(CLER, FRAS, LALO+)</td></tr><tr><td>AGUSTIN</td><td>87</td><td>ZPHY C36 369</td><td>J.E. Augustin et al.</td><td>(LALO, CLER, FRAS+)</td></tr><tr><td>BALTRUSAIT...</td><td>87</td><td>R.M. Baltrusaitis et al.</td><td>R.M. Baltrusaitis et al.</td><td>(Mark III Collab.)</td></tr><tr><td>ALDE</td><td>86C</td><td>PL B182 105</td><td>D.M. Alde et al.</td><td>(SERP, BELG, LANL, LAPP)</td></tr><tr><td>LONGACRE</td><td>86</td><td>PRL 117 223</td><td>R.S. Longacre et al.</td><td>(BNL, BRAN, CUNY+)</td></tr><tr><td>ALTHOFF</td><td>85B</td><td>ZPHY C29 189</td><td>M. Althoff et al.</td><td>(TASSO Collab.)</td></tr><tr><td>BINON</td><td>84C</td><td>NC 80A 363</td><td>F.G. Blonin et al.</td><td>(BELG, LAPP, SERP+)</td></tr><tr><td>WILLIAMS</td><td>84</td><td>PR D30 877</td><td>E.G.H. Williams et al.</td><td>(VAND, NDAM, TUFTS+)</td></tr><tr><td>BINON</td><td>83</td><td>NC 78A 313</td><td>F.G. Blonin et al.</td><td>(BELG, LAPP, SERP+)</td></tr><tr><td>BLOOM</td><td>83</td><td>ARNs 33 224</td><td>E.D. Bloom, C. Peck</td><td>(SLAC, CIT)</td></tr><tr><td>BURKE</td><td>82</td><td>PRL 49 632</td><td>D.L. Burke et al.</td><td>(LBL, SLAC)</td></tr><tr><td>EDWARDS</td><td>82D</td><td>PRL 48 458</td><td>C. Edwards et al.</td><td>(CIT, HARV, PRIN+)</td></tr><tr><td>ETKIN</td><td>82B</td><td>PR D25 1786</td><td>A. Etkin et al.</td><td>(BNL, CUNY, TUFTS, VAND)</td></tr><tr><td>ETKIN</td><td>82C</td><td>PR D25 2446</td><td>A. Etkin et al.</td><td>(BNL, CUNY, TUFTS, VAND)</td></tr><tr><td>HYAMS</td><td>75</td><td>NP B100 205</td><td>B.D. Hyams et al.</td><td>(CERN, MPIM)</td></tr></tbody></table>

$X(1750)$

$I^G(JPC) = ?-(1-?)$

OMITTED FROM SUMMARY TABLE

The X(1750) was separated from the $\phi(1680)$ in the 2022 listings due to its incompatible mass and incompatible pattern of $\bar{K}K$ and $\bar{K}^*(892)K$ branching fractions.

X(1750) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>1753.8 ± 2.7 OUR AVERAGE</strong></td><td></td><td></td><td></td></tr><tr><td>1784 ± 12 <sup>+0</sup><sub>-27</sub></td><td>ABLIKIM</td><td>20F BES3</td><td>ψ(2S) → K<sup>+</sup> K<sup>-</sup> η</td></tr><tr><td>1753.5 ± 1.5 ± 2.3</td><td>LINK</td><td>02k FOCS</td><td>20-160 γp → K<sup>+</sup> K<sup>-</sup> p</td></tr><tr><td>• • •</td><td></td><td></td><td>We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1726 ± 22</td><td>BUSENITZ</td><td>89 TPS</td><td>γp → K<sup>+</sup> K<sup>-</sup> X</td></tr><tr><td>1760 ± 20</td><td>ATKINSON</td><td>85C OMEG</td><td>20-70 γp → K<sup>+</sup> K<sup>-</sup> X</td></tr><tr><td>1690 ± 10</td><td>ASTON</td><td>81F OMEG</td><td>25-70 γp → K<sup>+</sup> K<sup>-</sup> X</td></tr></tbody></table>

$\Gamma_3/\Gamma_4$

X(1750) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>120 ± 10 OUR AVERAGE</strong></td><td></td><td></td><td></td></tr><tr><td>106 ± 22 <sup>+8</sup><sub>-19</sub></td><td>ABLIKIM</td><td>20F BES3</td><td>ψ(2S) → K<sup>+</sup> K<sup>-</sup> η</td></tr><tr><td>122.2 ± 6.2 ± 8.0</td><td>LINK</td><td>02K FOCS</td><td>20-160 γp → K<sup>+</sup> K<sup>-</sup> p</td></tr><tr><td>• • •</td><td></td><td></td><td>We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>121 ± 47</td><td>BUSENITZ</td><td>89 TPS</td><td>γp → K<sup>+</sup> K<sup>-</sup> X</td></tr><tr><td>80 ± 40</td><td>ATKINSON</td><td>85C OMEG</td><td>20-70 γp → K<sup>+</sup> K<sup>-</sup> X</td></tr><tr><td>100 ± 40</td><td>ASTON</td><td>81F OMEG</td><td>25-70 γp → K<sup>+</sup> K<sup>-</sup> X</td></tr></tbody></table>

X(1750) DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub></td><td>seen</td></tr><tr><td>Γ<sub>2</sub></td><td>not seen</td></tr><tr><td>Γ<sub>3</sub></td><td>not seen</td></tr><tr><td>Γ<sub>4</sub></td><td>not seen</td></tr></tbody></table>

$\Gamma(\bar{K}^*(892)^0 K_S^0)/\Gamma(K^+ K^-)$

<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;0.065</td><td>90</td><td>LINK</td><td>02k FOCS</td><td>γp → K<sup>+</sup> K<sup>-</sup> p</td></tr></tbody></table>

$\Gamma(K^*(892)^\pm K^\mp)/\Gamma(K^+ K^-)$

<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;0.183</td><td>90</td><td>LINK</td><td>02k FOCS</td><td>γp → K<sup>+</sup> K<sup>-</sup> p</td></tr></tbody></table>

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>not seen</td><td>1 ZHU</td><td>23A RVUE</td><td>e<sup>+</sup> e<sup>-</sup> → ηφ</td></tr></tbody></table>

¹ Reported with a 2 σ significance in the fit and an upper limit of $\Gamma(e^+ e^-) B(X(1750) \to \eta\phi)$ in the range 136–322 eV.

X(1750) REFERENCES

<table><tbody><tr><td>ZHU</td><td>23A CP C47 113003</td><td>W. Zhu, X. Wang</td><td>(RVUE)</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>LINK</td><td>02K PL B545 50</td><td>J.M. Link et al.</td><td>(FNAL FOCUS Collab.)</td></tr><tr><td>BUSENITZ</td><td>89 PR D40 1</td><td>J.K. Busenitz et al.</td><td>(ILL, FINAL)</td></tr><tr><td>ATKINSON</td><td>85C ZPHY C27 233</td><td>M. Atkinson et al.</td><td>(BONN, CERN, GLAS+)</td></tr><tr><td>ASTON</td><td>81F PL 104B 231</td><td>D. Aston</td><td>(BONN, CERN, EPOL, GLAS, LANC+)</td></tr></tbody></table>

$\eta(1760)$

$I^G(JPC) = 0^+(0-^+)$

OMITTED FROM SUMMARY TABLE

Seen by DM2 in the $\rho\rho$ system (BISELLO 89B). Structure in this region has been reported before in the same system (BALTRUSAITIS 86B) and in the $\omega\omega$ system (BALTRUSAITIS 85C, BISELLO 87).

$\eta(1760)$ 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>1751 ± 15 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>1768 ± 24 <sup>+10</sup><sub>-25</sub></td><td>465</td><td>1 ZHANG</td><td>12A BELL</td><td>e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> η<sup>+</sup> π<sup>-</sup> π<sup>-</sup></td></tr><tr><td>1744 ± 10 ± 15</td><td>1045</td><td>2 ABLIKIM</td><td>06H BES</td><td>J/ψ → γωω</td></tr><tr><td>• • •</td><td></td><td></td><td></td><td>We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>1703 ± 12 <sup>+11</sup><sub>-11</sub></td><td>2</td><td>3 ZHANG</td><td>12A BELL</td><td>e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> η<sup>+</sup> π<sup>-</sup> π<sup>-</sup></td></tr><tr><td>1760 ± 11</td><td>320</td><td>4 BISELLO</td><td>89B DM2</td><td>J/ψ → 4πγ</td></tr></tbody></table>

¹ From a single-resonance fit.

² From a partial wave analysis including $\eta(1760)$, $f_0(1710)$, $f_2(1640)$, and $f_2(1910)$.

³ From a two-resonance fit.

⁴ Estimated by us from various fits. Systematic uncertainties not estimated.

$\eta(1760)$ 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>240 ± 30 OUR AVERAGE</strong></td><td></td><td></td><td></td><td></td></tr><tr><td>224 ± 62 <sup>+56</sup><sub>-25</sub></td><td>465</td><td>5 ZHANG</td><td>12A BELL</td><td>e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> η<sup>+</sup> π<sup>-</sup> π<sup>-</sup></td></tr><tr><td>244 ± 24 <sup>+21</sup><sub>-21</sub></td><td>1045</td><td>6 ABLIKIM</td><td>06H BES</td><td>J/ψ → γωω</td></tr><tr><td>• • •</td><td></td><td></td><td></td><td>We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>42 ± 36 <sup>+22</sup><sub>-22</sub></td><td>7 ZHANG</td><td>12A BELL</td><td>e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> η<sup>+</sup> π<sup>-</sup> π<sup>-</sup></td></tr><tr><td>60 ± 16</td><td>320</td><td>8 BISELLO</td><td>89B DM2</td><td>J/ψ → 4πγ</td></tr></tbody></table>

⁵ From a single-resonance fit.

⁶ From a partial wave analysis including $\eta(1760)$, $f_0(1710)$, $f_2(1640)$, and $f_2(1910)$.

⁷ From a two-resonance fit.

⁸ Estimated by us from various fits. Systematic uncertainties not estimated.
η(1760) 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></td><td>4π</td></tr><tr><td>Γ<sub>2</sub></td><td>2π<sup>+</sup> 2π<sup>-</sup></td></tr><tr><td>Γ<sub>3</sub></td><td>π<sup>+</sup> π<sup>-</sup> 2π<sup>0</sup></td></tr><tr><td>Γ<sub>4</sub></td><td>ρ<sup>0</sup> ρ<sup>0</sup></td></tr><tr><td>Γ<sub>5</sub></td><td>ρ<sup>+</sup> ρ<sup>-</sup></td></tr><tr><td>Γ<sub>6</sub></td><td>ωω</td></tr><tr><td>Γ<sub>7</sub></td><td>η' π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>Γ<sub>8</sub></td><td>γγ</td></tr></tbody></table>

η(1760) Γ(i)Γ(γγ)/Γ(total)

<table><thead><tr><th>Γ(η'π<sup>+</sup>π<sup>-</sup>) × Γ(γγ)/Γ<sub>total</sub></th><th>Γ<sub>7</sub>Γ<sub>8</sub>/Γ</th></tr><tr><th>VALUE (eV)</th><th>EVTS</th></tr></thead><tbody><tr><td>28.2<sup>+7.9</sup><sub>-7.5</sub> ± 3.7</td><td>465</td></tr><tr><td colspan="2"><sup>9</sup>ZHANG</td></tr><tr><td>DOCUMENT ID</td><td>TECN</td></tr><tr><td>BELL</td><td>e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> η' π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>3.0<sup>+2.0</sup><sub>-1.2</sub> ± 0.8</td><td>52</td></tr><tr><td colspan="2"><sup>10</sup>ZHANG</td></tr><tr><td>DOCUMENT ID</td><td>TECN</td></tr><tr><td>BELL</td><td>e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> η' π<sup>+</sup> π<sup>-</sup></td></tr><tr><td>18<sup>+13</sup><sub>-10</sub> ± 5</td><td>315</td></tr><tr><td colspan="2"><sup>11</sup>ZHANG</td></tr><tr><td>DOCUMENT ID</td><td>TECN</td></tr><tr><td>BELL</td><td>e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> η' π<sup>+</sup> π<sup>-</sup></td></tr></tbody></table>

⁹ From a single-resonance fit.

¹⁰ From a two-resonance fit. For constructive interference with the X(1835).

¹¹ From a two-resonance fit. For destructive interference with the X(1835).

η(1760) BRANCHING RATIOS

<table><thead><tr><th>Γ(2π<sup>+</sup> 2π<sup>-</sup>)/Γ<sub>total</sub></th><th>Γ<sub>2</sub>/Γ</th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>BISELLO</td><td>89B</td><td>DM2 J/ψ → γ2π<sup>+</sup> 2π<sup>-</sup></td></tr><tr><th>Γ(π<sup>+</sup> π<sup>-</sup> 2π<sup>0</sup>)/Γ<sub>total</sub></th><th>Γ<sub>3</sub>/Γ</th></tr><tr><td>VALUE</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>seen</td><td>BISELLO</td><td>89B</td><td>DM2 J/ψ → γπ<sup>+</sup> π<sup>-</sup> 2π<sup>0</sup></td></tr><tr><th>Γ(ρ<sup>0</sup> ρ<sup>0</sup>)/Γ<sub>total</sub></th><th>Γ<sub>4</sub>/Γ</th></tr><tr><td>VALUE</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>seen</td><td>BISELLO</td><td>89B</td><td>DM2 J/ψ → γρ<sup>0</sup> ρ<sup>0</sup></td></tr><tr><td>seen</td><td>BALTRUSAIT...</td><td>86</td><td>MRK3 J/ψ → γρ<sup>+</sup> ρ<sup>0</sup></td></tr><tr><th>Γ(ρ<sup>+</sup> ρ<sup>-</sup>)/Γ<sub>total</sub></th><th>Γ<sub>5</sub>/Γ</th></tr><tr><td>VALUE</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>seen</td><td>BISELLO</td><td>89B</td><td>DM2 J/ψ → γρ<sup>+</sup> ρ<sup>-</sup></td></tr><tr><td>seen</td><td>BALTRUSAIT...</td><td>86</td><td>MRK3 J/ψ → γρ<sup>+</sup> ρ<sup>-</sup></td></tr><tr><th>Γ(ωω)/Γ<sub>total</sub></th><th>Γ<sub>6</sub>/Γ</th></tr><tr><td>VALUE</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>seen</td><td>BISELLO</td><td>87</td><td>DM2 J/ψ → ωω</td></tr><tr><td>seen</td><td>BALTRUSAIT...</td><td>85C</td><td>MRK3 J/ψ → γωω</td></tr><tr><th>Γ(γγ)/Γ(ωω)</th><th>Γ<sub>8</sub>/Γ<sub>6</sub></th></tr><tr><td>VALUE</td><td>DOCUMENT ID</td><td>TECN</td><td>COMMENT</td></tr><tr><td>&lt;2.48 × 10<sup>-3</sup></td><td>90</td><td>12 ABLIKIM</td><td>180 BES3 ψ(2S) → π<sup>+</sup> π<sup>-</sup> γγγ</td></tr></tbody></table>

¹² Using results from ABLIKIM 06h.

η(1760) REFERENCES

ABLIKIM 180 PR D97 072014
ZHANG 12A PR D86 052002
ABLIKIM 06H PR D73 112007
BISELLO 89B PR D39 701
BISELLO 87 PL B192 239
BALTRUSAIT... 86 PR D33 629
BALTRUSAIT... 86B PR D33 1222
BALTRUSAIT... 85C PRL 55 1723

M. Ablikim et al. (BESIII Collab.)
C.C. Zhang et al. (BELLE Collab.)
M. Ablikim et al. (BES Collab.)
G. Busetto et al. (DM2 Collab.)
D. Bisetto et al. (PADO, CLER, FRAS+)
R.M. Baltrusaitis et al. (Mark III Collab.)
R.M. Baltrusaitis et al. (Mark III Collab.)
R.M. Baltrusaitis et al. (CIT, UCSC+)

$$f_0(1770)$$

$$I^G(J^{PC}) = 0^{+}(0^{++})$$

OMITTED FROM SUMMARY TABLE

See the review on "Spectroscopy of Light Meson Resonances."

f₀(1770) Breit-Wigner 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>1784<sup>+16</sup><sub>-14</sub> OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 1.1.</td></tr><tr><td>1814 ± 31</td><td>7.2k</td><td>1 KHOLODENK...</td><td>21 VES</td><td>29 π<sup>-</sup> ρ → nωφ</td></tr><tr><td>1795 ± 7<sup>+23</sup><sub>-20</sub></td><td></td><td>ABLIKIM</td><td>13J BES3</td><td>J/ψ → γωφ</td></tr><tr><td>1760 ± 15<sup>+15</sup><sub>-10</sub></td><td></td><td>ABLIKIM</td><td>05Q BES2</td><td>ψ(2S) → γπ<sup>+</sup> π<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td></tr></tbody></table>

<table><thead><tr><th>Mode</th><th>Fraction (Γ<sub>f</sub>/Γ)</th></tr></thead><tbody><tr><td>1765 ± 15</td><td>SARANTSEV 21 RVUE J/ψ → γ (ππ, K<sup>+</sup> K<sup>-</sup>, ηη)</td></tr><tr><td>1814 ± 18</td><td>2,3 AAIJ 14BR LHCB B<sup>0</sup><sub>S</sub> → J/ψπ<sup>+</sup> π<sup>-</sup></td></tr><tr><td>1812<sup>+19</sup><sub>-26</sub> ± 18</td><td>4 ABLIKIM 06J BES2 J/ψ → γωφ</td></tr><tr><td>1790<sup>+40</sup><sub>-30</sub></td><td>ABLIKIM 05 BES2 J/ψ → φπ<sup>+</sup> π<sup>-</sup></td></tr></tbody></table>

¹ From partial wave analysis of ωφ invariant mass including 0<sup>++</sup>, 2<sup>++</sup>, and 0<sup>-+</sup> resonances.

² Second solution: 1800 ± 22 MeV. The fit favors f₀(1770) to f₀(1710).

³ Statistical error only.

⁴ Not seen by LIU 09 in B<sup>±</sup> → K<sup>±</sup>ωφ.

f₀(1770) Breit-Wigner 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>161 ± 21</strong> OUR AVERAGE</td><td></td><td></td><td></td><td>Error includes scale factor of 1.4.</td></tr><tr><td>182 ± 19</td><td>7.2k</td><td>1 KHOLODENK...</td><td>21 VES</td><td>29 π<sup>-</sup> ρ → nωφ</td></tr><tr><td>95 ± 10<sup>+78</sup><sub>-82</sub></td><td></td><td>ABLIKIM</td><td>13J BES3</td><td>J/ψ → γωφ</td></tr><tr><td>125 ± 25<sup>+10</sup><sub>-15</sub></td><td></td><td>ABLIKIM</td><td>05Q BES2</td><td>ψ(2S) → γπ<sup>+</sup> π<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>180 ± 20</td><td>SARANTSEV 21 RVUE J/ψ → γ (ππ, K<sup>+</sup> K<sup>-</sup>, ηη)</td><td></td><td></td><td></td></tr><tr><td>328 ± 34</td><td>2,3 AAIJ 14BR LHCB B<sup>0</sup><sub>S</sub> → J/ψπ<sup>+</sup> π<sup>-</sup></td><td></td><td></td><td></td></tr><tr><td>105 ± 20 ± 28</td><td>4 ABLIKIM 06J BES2 J/ψ → γωφ</td><td></td><td></td><td></td></tr><tr><td>270<sup>+60</sup><sub>-30</sub></td><td>5 ABLIKIM 05 BES2 J/ψ → φπ<sup>+</sup> π<sup>-</sup></td><td></td><td></td><td></td></tr></tbody></table>

¹ From partial wave analysis of ωφ invariant mass including 0<sup>++</sup>, 2<sup>++</sup>, and 0<sup>-+</sup> resonances.

² Second solution: 263 ± 30 MeV. The fit favors f₀(1770) to f₀(1710).

³ Statistical error only.

⁴ Not seen by LIU 09 in B<sup>±</sup> → K<sup>±</sup>ωφ.

⁵ f₀(1710) width fixed to PDG value.

WEIGHTED AVERAGE
161 ± 21 (Error scaled by 1.4)

<figure><img src="image_492.png" /><figcaption>f₀(1770) Breit-Wigner WIDTH (MeV)</figcaption></figure>

f₀(1770) 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></td><td>ππ</td></tr><tr><td>Γ<sub>2</sub></td><td>K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>Γ<sub>3</sub></td><td>ηη</td></tr><tr><td>Γ<sub>4</sub></td><td>ωφ</td></tr></tbody></table>

<table><thead><tr><th>Γ(ππ)/Γ<sub>total</sub></th><th>Γ<sub>1</sub>/Γ</th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>SARANTSEV 21 RVUE</td><td>J/ψ → γ (ππ, K<sup>+</sup> K<sup>-</sup>, ηη, ωφ)</td><td></td></tr><tr><td>seen</td><td>AAIJ 14BR LHCB B<sup>0</sup><sub>S</sub> → J/ψπ<sup>+</sup> π<sup>-</sup></td><td></td><td></td></tr><tr><td>seen</td><td>ABLIKIM 05 BES2 J/ψ → φπ<sup>+</sup> π<sup>-</sup></td><td></td><td></td></tr></tbody></table>

<table><thead><tr><th>Γ(KK̄)/Γ<sub>total</sub></th><th>Γ<sub>2</sub>/Γ</th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>SARANTSEV 21 RVUE</td><td>J/ψ → γ (ππ, K<sup>+</sup> K<sup>-</sup>, ηη, ωφ)</td><td></td></tr></tbody></table>

<table><thead><tr><th>Γ(ηη)/Γ<sub>total</sub></th><th>Γ<sub>3</sub>/Γ</th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>SARANTSEV 21 RVUE</td><td>J/ψ → γ (ππ, K<sup>+</sup> K<sup>-</sup>, ηη, ωφ)</td><td></td></tr></tbody></table>
# Meson Particle Listings

$f_0(1770), \pi(1800)$

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

<table><thead><tr><th>VALUE</th><th>EVTS</th></tr></thead><tbody><tr><td>seen</td><td>7.2k</td></tr></tbody></table>

seen

$\Gamma_4/\Gamma$

## $f_0(1770)$ REFERENCES

<table><tr><td>KHOLODENK...21</td><td>PAN 83 1602</td></tr><tr><td>SARANTSEV 21</td><td>PL B816 136227</td></tr><tr><td>AAJ</td><td>14BR PR D89 092006</td></tr><tr><td>ABLIKIM</td><td>13J PR D87 032008</td></tr><tr><td>LIU</td><td>09 PR D79 071102</td></tr><tr><td>ABLIKIM</td><td>06J PRL 96 162002</td></tr><tr><td>ABLIKIM</td><td>05 PL B607 243</td></tr><tr><td>ABLIKIM</td><td>05Q PR D72 092002</td></tr></table>

<table><tr><td>M.S. Kholodenko</td><td>(VES Collab.)</td></tr><tr><td>A.V. Sarantsev et al.</td><td>(BONN, PNPi)</td></tr><tr><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>C. Liu et al.</td><td>(BELLE Collab.)</td></tr><tr><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr></table>

$\pi(1800)$

$I^G(J^{PC}) = 1^{-}(0^{-})$

See the review on "Spectroscopy of Light Meson Resonances."

## $\pi(1800)$ 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>1810<sup>+9</sup><sub>-11</sub> OUR AVERAGE</strong> Error includes scale factor of 2.2. See the ideogram below.</td></tr></tbody></table>

<table><tr><td>1804<sup>+6</sup><sub>-9</sub></td><td>46M</td><td>1 AGHASYAN</td><td>18B COMP</td><td>-</td><td>190 π<sup>-</sup> p → π<sup>-</sup>π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>1876<sup>+18</sup><sub>-16</sub></td><td>4k</td><td>2 EUGENIO</td><td>08 B852</td><td>-</td><td>18 π<sup>-</sup> p → ηηπ<sup>-</sup> p</td></tr><tr><td>1774<sup>+18</sup><sub>-20</sub></td><td></td><td>3 CHUNG</td><td>02 B852</td><td>-</td><td>18.3 π<sup>-</sup> p → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> p</td></tr><tr><td>1863<sup>+9</sup><sub>-10</sub></td><td></td><td>4 CHUNG</td><td>02 B852</td><td>-</td><td>18.3 π<sup>-</sup> p → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> p</td></tr><tr><td>1840<sup>+10</sup><sub>-10</sub></td><td>1.2k</td><td>AMELIN</td><td>96B VES</td><td>-</td><td>37 π<sup>-</sup> A → ηηπ<sup>-</sup> A</td></tr><tr><td>1775<sup>+7</sup><sub>-10</sub></td><td></td><td>5 AMELIN</td><td>95B VES</td><td>-</td><td>36 π<sup>-</sup> A → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> A</td></tr><tr><td>1790<sup>+14</sup></td><td></td><td>6 BERDNIKOV</td><td>94 VES</td><td>-</td><td>37 π<sup>-</sup> A → K<sup>+</sup> K<sup>-</sup> π<sup>-</sup> A</td></tr><tr><td>1873<sup>+33</sup><sub>-20</sub></td><td></td><td>BELADIDZE</td><td>92C VES</td><td>-</td><td>36 π<sup>-</sup> Be → π<sup>-</sup>η<sup>'</sup>ηBe</td></tr><tr><td>1814<sup>+10</sup><sub>-23</sub></td><td>426</td><td>BITYUKOV</td><td>91 VES</td><td>-</td><td>36 π<sup>-</sup> C → π<sup>-</sup>ηηC</td></tr><tr><td>1770<sup>+30</sup></td><td>1.1k</td><td>BELLINI</td><td>82 SPEC</td><td>-</td><td>40 π<sup>-</sup> A → 3πA</td></tr></table>

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

<table><tr><td>1785<sup>+9</sup><sub>-6</sub></td><td>420k</td><td>7 ALEKSEEV</td><td>10 COMP</td><td>-</td><td>190 π<sup>-</sup> Pb → π<sup>-</sup>π<sup>-</sup>π<sup>+</sup> Pb<sup>'</sup></td></tr><tr><td>1737<sup>+5</sup><sub>-15</sub></td><td></td><td>AMELIN</td><td>99 VES</td><td>-</td><td>37 π<sup>-</sup> A → ωπ<sup>-</sup> π<sup>0</sup> A*</td></tr></table>

1 Statistical error negligible.

2 From a single-pole fit.

3 In the $f_0(980)\pi$ wave.

4 In the $f_0(500)\pi$ wave.

5 From a fit to $J^{PC} = 0^{-} + f_0(980)\pi, f_0(1370)\pi$ waves.

6 From a fit to $J^{PC} = 0^{-} + K_0^*(1430)K^{-}$ and $f_0(980)\pi^{-}$ waves.

7 Superseded by AGHASYAN 2018B.

<figure><img src="image_493.png" /><figcaption>WEIGHTED AVERAGE
1810+9-11 (Error scaled by 2.2)</figcaption></figure>

## $\pi(1800)$ 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>215<sup>+8</sup><sub>-7</sub> OUR AVERAGE</strong></td></tr></tbody></table>

<table><tr><td>220<sup>+8</sup><sub>-11</sub></td><td>46M</td><td>8 AGHASYAN</td><td>18B COMP</td><td>-</td><td>190 π<sup>-</sup> p → π<sup>-</sup>π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>221<sup>+26</sup><sub>-38</sub></td><td>4k</td><td>9 EUGENIO</td><td>08 B852</td><td>-</td><td>18 π<sup>-</sup> p → ηηπ<sup>-</sup> p</td></tr><tr><td>223<sup>+48</sup><sub>-50</sub></td><td></td><td>10 CHUNG</td><td>02 B852</td><td>-</td><td>18.3 π<sup>-</sup> p → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> p</td></tr><tr><td>191<sup>+21</sup><sub>-20</sub></td><td></td><td>11 CHUNG</td><td>02 B852</td><td>-</td><td>18.3 π<sup>-</sup> p → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> p</td></tr></table>

<table><tr><td>210<sup>+30</sup><sub>-30</sub></td><td>1.2k</td><td>AMELIN</td><td>96B VES</td><td>-</td><td>37 π<sup>-</sup> A → ηηπ<sup>-</sup> A</td></tr><tr><td>190<sup>+15</sup><sub>-15</sub></td><td></td><td>12 AMELIN</td><td>95B VES</td><td>-</td><td>36 π<sup>-</sup> A → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> A</td></tr><tr><td>210<sup>+70</sup></td><td></td><td>13 BERDNIKOV</td><td>94 VES</td><td>-</td><td>37 π<sup>-</sup> A → K<sup>+</sup> K<sup>-</sup> π<sup>-</sup> A</td></tr><tr><td>225<sup>+35</sup><sub>-20</sub></td><td></td><td>BELADIDZE</td><td>92C VES</td><td>-</td><td>36 π<sup>-</sup> Be → π<sup>-</sup>η<sup>'</sup>ηBe</td></tr><tr><td>205<sup>+18</sup><sub>-32</sub></td><td>426</td><td>BITYUKOV</td><td>91 VES</td><td>-</td><td>36 π<sup>-</sup> C → π<sup>-</sup>ηηC</td></tr><tr><td>310<sup>+50</sup></td><td>1.1k</td><td>BELLINI</td><td>82 SPEC</td><td>-</td><td>40 π<sup>-</sup> A → 3πA</td></tr></table>

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

<table><tr><td>208<sup>+22</sup><sub>-37</sub></td><td>420k</td><td>14 ALEKSEEV</td><td>10 COMP</td><td>-</td><td>190 π<sup>-</sup> Pb → π<sup>-</sup>π<sup>-</sup>π<sup>+</sup> Pb<sup>'</sup></td></tr><tr><td>259<sup>+19</sup><sub>-6</sub></td><td></td><td>AMELIN</td><td>99 VES</td><td>-</td><td>37 π<sup>-</sup> A → ωπ<sup>-</sup> π<sup>0</sup> A*</td></tr></table>

8 Statistical error negligible.

9 From a single-pole fit.

10 In the $f_0(980)\pi$ wave.

11 In the $f_0(500)\pi$ wave.

12 From a fit to $J^{PC} = 0^{-} + f_0(980)\pi, f_0(1370)\pi$ waves.

13 From a fit to $J^{PC} = 0^{-} + K_0^*(1430)K^{-}$ and $f_0(980)\pi^{-}$ waves.

14 Superseded by AGHASYAN 2018B.

## $\pi(1800)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_f/\Gamma$)</th></tr></thead><tbody><tr><td>$\Gamma_1$</td><td>seen</td></tr><tr><td>$\Gamma_2$</td><td>seen</td></tr><tr><td>$\Gamma_3$</td><td>seen</td></tr><tr><td>$\Gamma_4$</td><td>seen</td></tr><tr><td>$\Gamma_5$</td><td>not seen</td></tr><tr><td>$\Gamma_6$</td><td>not seen</td></tr><tr><td>$\Gamma_7$</td><td>seen</td></tr><tr><td>$\Gamma_8$</td><td>seen</td></tr><tr><td>$\Gamma_9$</td><td>not seen</td></tr><tr><td>$\Gamma_{10}$</td><td>not seen</td></tr><tr><td>$\Gamma_{11}$</td><td>not seen</td></tr><tr><td>$\Gamma_{12}$</td><td>seen</td></tr><tr><td>$\Gamma_{13}$</td><td>seen</td></tr><tr><td>$\Gamma_{14}$</td><td>seen</td></tr><tr><td>$\Gamma_{15}$</td><td>not seen</td></tr></tbody></table>

## $\pi(1800)$ BRANCHING RATIOS

$\Gamma(f_0(980)\pi^-)/\Gamma(f_0(500)\pi^-)$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.44±0.08±0.38</td><td>15 CHUNG</td><td>02 B852</td><td>18.3 π<sup>-</sup> p → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> p</td></tr></tbody></table>

$\Gamma(f_0(980)\pi^-)/\Gamma(f_0(1370)\pi^-)$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.7±1.3</td><td>16 AMELIN</td><td>95B VES</td><td>-</td><td>36 π<sup>-</sup> A → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> A</td></tr></tbody></table>

$\Gamma(f_0(1370)\pi^-)/\Gamma_{\text{total}}$

<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>BELLINI</td><td>82 SPEC</td><td>-</td><td>40 π<sup>-</sup> A → 3πA</td></tr></tbody></table>

$\Gamma(f_0(1500)\pi^-)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>not seen</td><td>CHUNG</td><td>02 B852</td><td>18.3 π<sup>-</sup> p → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> p</td></tr></tbody></table>

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

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>not seen</td><td>BELLINI</td><td>82 SPEC</td><td>-</td><td>40 π<sup>-</sup> A → 3πA</td></tr></tbody></table>

$\Gamma(\rho\pi^-)/\Gamma(f_0(980)\pi^-)$

<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>&lt;0.25</td><td></td><td>CHUNG</td><td>02 B852</td><td>-</td><td>18.3 π<sup>-</sup> p → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> p</td></tr><tr><td>&lt;0.14</td><td>90</td><td>AMELIN</td><td>95B VES</td><td>-</td><td>36 π<sup>-</sup> A → π<sup>+</sup>π<sup>-</sup>π<sup>-</sup> A</td></tr></tbody></table>

$\Gamma(\eta\eta\pi^-)/\Gamma(\pi^+\pi^-\pi^-)$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.5±0.1</td><td>1200</td><td>16 AMELIN</td><td>96B VES</td><td>-</td><td>37 π<sup>-</sup> A → ηηπ<sup>-</sup> A</td></tr></tbody></table>

$\Gamma(a_2(1320)\eta)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>not seen</td><td>EUGENIO</td><td>08 B852</td><td>18 π<sup>-</sup> p → ηηπ<sup>-</sup> p</td></tr></tbody></table>

$\Gamma(f_2(1270)\pi)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>not seen</td><td>EUGENIO</td><td>08 B852</td><td>18 π<sup>-</sup> p → ηηπ<sup>-</sup> p</td></tr></tbody></table>
<table><thead><tr><th colspan="6">Γ(f<sub>0</sub>(1370)π<sup>-</sup>)/Γ<sub>total</sub></th></tr><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th><th></th><th></th></tr></thead><tbody><tr><td>not seen</td><td>EUGENIO</td><td>08</td><td>B852</td><td>18 π<sup>-</sup> p → ηηπ<sup>-</sup> p</td><td></td></tr></tbody></table>

<table><thead><tr><th colspan="6">Γ(f<sub>0</sub>(1500)π<sup>-</sup>)/Γ(a<sub>0</sub>(980)η)</th></tr><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td></td><td></td><td></td><td></td><td></td><td></td></tr></tbody></table>

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

<table><tbody><tr><td>0.48 ± 0.17</td><td>4k</td><td>16,17 EUGENIO</td><td>08</td><td>B852</td><td>18 π<sup>-</sup> p → ηηπ<sup>-</sup> p</td></tr><tr><td>0.030 ± 0.014</td><td></td><td>16 ANISOVICH</td><td>01b</td><td>SPEC</td><td>0.6-1.94 p p → ηηπ<sup>0</sup> π<sup>0</sup></td></tr><tr><td>0.08 ± 0.03</td><td>1200</td><td>16,18 AMELIN</td><td>96b</td><td>VES</td><td>37 π<sup>-</sup> A → ηηπ<sup>-</sup> A</td></tr></tbody></table>

<table><thead><tr><th colspan="6">Γ(ηη'(958)π<sup>-</sup>)/Γ(ηηπ<sup>-</sup>)</th></tr><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td></td><td></td><td></td><td></td><td></td><td></td></tr></tbody></table>

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

<table><tbody><tr><td>0.29 ± 0.07</td><td>16 BELADIDZE</td><td>92c</td><td>VES</td><td>36 π<sup>-</sup> Be → π<sup>-</sup>η/η Be</td><td></td></tr><tr><td>0.3 ± 0.1</td><td>426 ± 57</td><td>16 BITYUKOV</td><td>91</td><td>VES</td><td>36 π<sup>-</sup> C → π<sup>-</sup>ηη C</td></tr></tbody></table>

<table><thead><tr><th colspan="6">Γ(K<sup>0</sup>(1430)K<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><th></th></tr></thead><tbody><tr><td>seen</td><td>BERDNIKOV</td><td>94</td><td>VES</td><td>—</td><td>37 π<sup>-</sup> A → K<sup>+</sup> K<sup>-</sup> π<sup>-</sup> A</td></tr></tbody></table>

<table><thead><tr><th colspan="6">Γ(K<sup>+</sup>(892)K<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><th></th></tr></thead><tbody><tr><td>not seen</td><td>BERDNIKOV</td><td>94</td><td>VES</td><td>—</td><td>37 π<sup>-</sup> A → K<sup>+</sup> K<sup>-</sup> π<sup>-</sup> A</td></tr></tbody></table>

15 Assuming that $f_0(980)$ decays only to $\pi\pi$.

16 Systematic errors not estimated.

17 From a single-pole fit.

18 Assuming that $f_0(1500)$ decays only to $\eta\eta$ and $a_0(980)$ decays only to $\eta\pi$.

π(1800) REFERENCES

<table><tbody><tr><td>AGHASYAN</td><td>18B</td><td>PR D98 092003</td><td>M. Aghasyan et al.</td><td>(COMPASS Collab.)</td></tr><tr><td>ALEKSEEV</td><td>10</td><td>PRL 104 241803</td><td>M.G. Alekseev et al.</td><td>(COMPASS Collab.)</td></tr><tr><td>EUGENIO</td><td>08</td><td>PL B660 466</td><td>P. Eugenio et al.</td><td>(BNL E852 Collab.)</td></tr><tr><td>CHUNG</td><td>02</td><td>PR D65 072001</td><td>S.U. Chung et al.</td><td>(BNL E852 Collab.)</td></tr><tr><td>ANISOVICH</td><td>01B</td><td>PL B500 222</td><td>A.V. Anisovich et al.</td><td></td></tr><tr><td>AMELIN</td><td>99</td><td>PAN 62 445</td><td>D.V. Amelin et al.</td><td>(VES Collab.)</td></tr><tr><td></td><td></td><td>Translated from YAF 62 487.</td><td></td><td></td></tr><tr><td>AMELIN</td><td>96B</td><td>PAN 59 975</td><td>D.V. Amelin et al.</td><td>(SERP, TBIL) IGJPC</td></tr><tr><td></td><td></td><td>Translated from YAF 59 1021.</td><td></td><td></td></tr><tr><td>AMELIN</td><td>95B</td><td>PL B356 595</td><td>D.V. Amelin et al.</td><td>(SERP, TBIL)</td></tr><tr><td>BERDNIKOV</td><td>94</td><td>PL B337 219</td><td>E.B. Berdnikov et al.</td><td>(SERP, TBIL)</td></tr><tr><td>BELADIDZE</td><td>92C</td><td>SJPN 55 1535</td><td>G.M. Beladidze, S.I. Bityukov, G.V. Borisov</td><td>(SERP+)</td></tr><tr><td></td><td></td><td>Translated from YAF 55 2748.</td><td></td><td></td></tr><tr><td>BITYUKOV</td><td>91</td><td>PL B268 137</td><td>S.I. Bityukov et al.</td><td>(SERP, TBIL)</td></tr><tr><td>BELLINI</td><td>82</td><td>PRL 48 1697</td><td>G. Bellini et al.</td><td>(MILA, BGNA, JINR)</td></tr></tbody></table>

$f_2(1810)$

$I^G(J^{PC}) = 0^{+}(2^{++})$

OMITTED FROM SUMMARY TABLE

Needs confirmation.

$f_2(1810)$ 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><b>1815</b> ±12</td><td><b>OUR AVERAGE</b></td><td></td><td></td><td>Error includes scale factor of 1.4. See the ideogram below.</td></tr><tr><td>1822</td><td>29/24</td><td>66/57</td><td>5.5k</td><td>1 ABLIKIM 13N BES3 e<sup>+</sup> e<sup>-</sup> → J/ψ → γηη</td></tr><tr><td>1737</td><td>9</td><td>198/65</td><td></td><td>2 UEHARA 10A BELL 10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> ηη</td></tr><tr><td>1800</td><td>±30</td><td>40</td><td></td><td>88D GAM4 300 π<sup>-</sup> p → π<sup>-</sup> p 4π<sup>0</sup></td></tr><tr><td>1806</td><td>±10</td><td>1600</td><td></td><td>87 GAM4 100 π<sup>-</sup> p → 4π<sup>0</sup> n</td></tr><tr><td>1870</td><td>±40</td><td></td><td></td><td>86D GAM4 100 π<sup>-</sup> p → ηηη</td></tr><tr><td>1857</td><td>35/24</td><td></td><td></td><td>80 OMEG 10 π<sup>-</sup> p → K<sup>+</sup> K<sup>-</sup> n</td></tr></tbody></table>

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

<table><tbody><tr><td>1845.0 ± 2.2<sup>+</sup> / 7.2</td><td>5 ALBRECHT</td><td>20</td><td>RVUE</td><td>0.9 p p → π<sup>0</sup> π<sup>0</sup> η, π<sup>0</sup> ηη, π<sup>0</sup> K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>1858 ± 18 / 71</td><td>6 LONGARE</td><td>86</td><td>RVUE</td><td>Compilation</td></tr><tr><td>1799 ± 15</td><td>7 CASON</td><td>82</td><td>STRC</td><td>8 π<sup>+</sup> p → Δ<sup>++</sup> π<sup>0</sup> π<sup>0</sup></td></tr></tbody></table>

1 From partial wave analysis including all possible combinations of 0<sup>++</sup>, 2<sup>++</sup>, and 4<sup>++</sup> resonances.

2 Breit-Wigner mass. Could also be the $f_2(1910)$.

3 Seen in only one solution.

4 Error increased by spread of two solutions. Included in LONGACRE 86 global analysis.

5 T-matrix pole, 4 poles, 4 channels, including scattering data from HYAMS 75 (ππ), LONGACRE 86 (Kπ), BINON 83 (ηη).

6 From a partial-wave analysis of data using a K-matrix formalism with 5 poles. Includes compilation of several other experiments.

7 From an amplitude analysis of the reaction $\pi^+\pi^- \to 2\pi^0$. The resonance in the $2\pi^0$ final state is not confirmed by PROKOSHKIN 97.

<figure><img src="image_494.png" /><figcaption>$f_2(1810)$ mass (MeV)</figcaption></figure>

$f_2(1810)$ 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><b>197</b> ± 22</td><td><b>OUR AVERAGE</b></td><td></td><td></td><td>Error includes scale factor of 1.5. See the ideogram below.</td></tr><tr><td>229 ± 52/42</td><td>88/155</td><td>5.5k</td><td>1 ABLIKIM</td><td>13N BES3 e<sup>+</sup> e<sup>-</sup> → J/ψ → γηη</td></tr><tr><td>228 ± 21/20</td><td>234/153</td><td></td><td>2 UEHARA</td><td>10A BELL 10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> ηη</td></tr><tr><td>160 ± 30</td><td>40</td><td>ALDE</td><td>88D GAM4 300 π<sup>-</sup> p → π<sup>-</sup> p 4π<sup>0</sup></td></tr><tr><td>190 ± 20</td><td>1600</td><td>ALDE</td><td>87 GAM4 100 π<sup>-</sup> p → 4π<sup>0</sup> n</td></tr><tr><td>250 ± 30</td><td></td><td>3 ALDE</td><td>86D GAM4 100 π<sup>-</sup> p → ηηη</td></tr><tr><td>185 ± 102/139</td><td></td><td>4 COSTA</td><td>80 OMEG 10 π<sup>-</sup> p → K<sup>+</sup> K<sup>-</sup> n</td></tr></tbody></table>

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

<table><tbody><tr><td>260.9 ± 3.9<sup>+199.9</sup><sub>-38.2</sub></td><td>5 ALBRECHT</td><td>20</td><td>RVUE</td><td>0.9 p p → π<sup>0</sup> π<sup>0</sup> η, π<sup>0</sup> ηη, π<sup>0</sup> K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>388 ± 15/21</td><td></td><td></td><td></td><td>Compilation</td></tr><tr><td>280 ± 42/35</td><td></td><td></td><td></td><td></td></tr></tbody></table>

1 From partial wave analysis including all possible combinations of 0<sup>++</sup>, 2<sup>++</sup>, and 4<sup>++</sup> resonances.

2 Breit-Wigner width. Could also be the $f_2(1910)$.

3 Seen in only one solution.

4 Error increased by spread of two solutions. Included in LONGACRE 86 global analysis.

5 T-matrix pole, 4 poles, 4 channels, including scattering data from HYAMS 75 (ππ), LONGACRE 86 (Kπ), BINON 83 (ηη).

6 From a partial-wave analysis of data using a K-matrix formalism with 5 poles. Includes compilation of several other experiments.

7 From an amplitude analysis of the reaction $\pi^+\pi^- \to 2\pi^0$. The resonance in the $2\pi^0$ final state is not confirmed by PROKOSHKIN 97.

<figure><img src="image_495.png" /><figcaption>$f_2(1810)$ width (MeV)</figcaption></figure>

$f_2(1810)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction (f<sub>i</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub> ππ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> ηη</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> 4π<sup>0</sup></td><td>seen</td></tr><tr><td>Γ<sub>4</sub> K<sup>+</sup> K<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>5</sub> γγ</td><td>seen</td></tr></tbody></table>
## $f_2(1810)$ Γ(i)Γ(γγ)/Γ(total)

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

VALUE (eV)

$$5.2^{+0.9}_{-0.8}^{+37.3}_{-4.5}$$

<table><thead><tr><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1</td><td>UEHARA</td><td>10A BELL</td></tr><tr><td></td><td></td><td>10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> e<sup>ηη</sup></td></tr></tbody></table>

$$\Gamma_{2\bar{5}5}/\Gamma$$

¹ Including interference with the $f_2'(1525)$ (parameters fixed to the values from the 2008 edition of this review, PDG 08) and $f_2(1270)$. May also be the $f_0(1500)$.

## $f_2(1810)$ BRANCHING RATIOS

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

VALUE

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

<table><thead><tr><th></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>not seen</td><td>AMSLER</td><td>02</td><td>CBAR 0.9 p̄p → π<sup>0</sup>ηη, π<sup>0</sup>π<sup>0</sup>π<sup>0</sup></td></tr><tr><td>not seen</td><td>PROKOSHKIN</td><td>97</td><td>GMAM 38 π<sup>-</sup> p → π<sup>0</sup>π<sup>0</sup>π<sup>0</sup></td></tr></tbody></table>

$$0.21^{+0.02}_{-0.03}$$

$$1 \text{ LONGACRE } 86 \text{ RVUE Compilation}$$

$$0.44^{+0.03}_{-0.03}$$

$$2 \text{ CASON } 82 \text{ STRC } 8 \pi^{+} p \rightarrow \Delta^{++} \pi^{0} \pi^{0}$$

¹ From a partial-wave analysis of data using a K-matrix formalism with 5 poles. Includes compilation of several other experiments.

² Included in LONGACRE 86 global analysis.

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

VALUE

seen

$$0.008^{+0.028}_{-0.003}$$

$$1 \text{ LONGACRE } 86 \text{ RVUE Compilation}$$

¹ From a partial-wave analysis of data using a K-matrix formalism with 5 poles. Includes compilation of several other experiments.

$$\Gamma(\pi\pi)/\Gamma(4\pi^0)$$

VALUE

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

$$<0.75$$

DOCUMENT ID TECN COMMENT

$$ALDE 87 GAM4 100 \pi^{-} p \rightarrow 4\pi^{0} \eta$$

$$\Gamma(4\pi^0)/\Gamma(\eta\eta)$$

VALUE

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

$$0.8^{+0.3}_{-0.3}$$

DOCUMENT ID TECN COMMENT

$$ALDE 87 GAM4 100 \pi^{-} p \rightarrow 4\pi^{0} \eta$$

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

VALUE

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

$$0.003^{+0.019}_{-0.002}$$

$$1 \text{ LONGACRE } 86 \text{ RVUE Compilation}$$

seen

$$COSTA 80 OMEG 10 \pi^{-} p \rightarrow K^{+}K^{-} \eta$$

¹ From a partial-wave analysis of data using a K-matrix formalism with 5 poles. Includes compilation of several other experiments.

## $f_2(1810)$ REFERENCES

<table><tr><td>ALBRECHT</td><td>20</td><td>EPJ C80 453</td><td>M. Albrecht et al. (Crystal Barrel Collab.)</td></tr><tr><td>ABLIKIM</td><td>13N</td><td>PR D87 092009</td><td>M. Albrecht et al. (BESIII Collab.)</td></tr><tr><td>UEHARA</td><td>10A</td><td>PR D82 114031</td><td>S. Uehara et al. (BELLE Collab.)</td></tr><tr><td>PDG</td><td>08</td><td>PL B667 1</td><td>(PDG Collab.)</td></tr><tr><td>AMSLER</td><td>02</td><td>EPJ C23 29</td><td>C. Amsler et al. (Crystal Barrel Collab.)</td></tr><tr><td>PROKOSHKIN</td><td>97</td><td>PD 42 117</td><td>Y.D. Prokoshkin et al. (SERP)</td></tr><tr><td>ALDE</td><td>88D</td><td>SJNP 47 810</td><td>D.M. Alde et al. (SERP, BELG, LANL, LAPP+)</td></tr><tr><td>ALDE</td><td>87</td><td>PL B198 286</td><td>D.M. Alde et al. (LANL, BRUX, SERP, LAPP)</td></tr><tr><td>ALDE</td><td>86D</td><td>NP B269 485</td><td>D.M. Alde et al. (BELG, LAPP, SERP, CERN+)</td></tr><tr><td>LONGACRE</td><td>86</td><td>PL B177 223</td><td>R.S. Longacre et al. (BNL, BRAN, CUNY+)</td></tr><tr><td>BINON</td><td>83</td><td>NC 78A 313</td><td>F.G. Binon et al. (BELG, LAPP, SERP+)</td></tr><tr><td>CASON</td><td>82</td><td>PRL 48 1316</td><td>N.M. Cason et al. (NDAM, ANL)</td></tr><tr><td>COSTA</td><td>80</td><td>NP B175 402</td><td>G. Costa et al. (BARI, BONN, CERN, GLAS+)</td></tr><tr><td>HYAMS</td><td>75</td><td>NP B100 205</td><td>B.D. Hyams et al. (CERN, MPIM)</td></tr></table>

# X(1835)

$$I^G(JPC) = 0^+(0^-)$$

OMITTED FROM SUMMARY TABLE

Could be a superposition of two states, one with small width appearing as threshold enhancement in $p\bar{p}$, the other one with a larger width. For the former ABLIKIM 12D determine $JPC = 0^- +$.

# X(1835) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5" style="text-align: center;">1826.5 <sup>+13.0</sup><sub>-3.4</sub> OUR AVERAGE</td></tr><tr><td>1825.3</td><td>2.4 <sup>+17.3</sup><sub>-2.4</sub></td><td>1 ABLIKIM</td><td>16J BES3</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr><tr><td>1844</td><td>± 9 <sup>+16</sup><sub>-25</sub></td><td>2 ABLIKIM</td><td>15T BES3</td><td>J/ψ → γK<sup>0</sup>S K<sup>0</sup>Sη</td></tr></tbody></table>

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

<table><tr><td>1839</td><td>±26</td><td>±26</td><td>3 ABLIKIM</td><td>18I BES3</td><td>J/ψ → γγφ(1020)</td></tr><tr><td>1909.5</td><td>±15.9</td><td>±9.4</td><td>4 ABLIKIM</td><td>16J BES3</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr><tr><td>1842.2</td><td>±4.2</td><td>±7.1</td><td>0.6k</td><td>13U BES3</td><td>J/ψ → γ3(π<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>1832</td><td><sup>+19</sup><sub>-5</sub></td><td>±26</td><td></td><td>12D BES3</td><td>J/ψ → γp<span style="text-decoration: overline">p</span></td></tr><tr><td>1836.5</td><td>±3.0</td><td>±5.6</td><td>4265</td><td>11C BES3</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr><tr><td>1877.3</td><td>±6.3</td><td>±3.4</td><td></td><td>11J BES3</td><td>J/ψ → ω(ηπ<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>1837</td><td><sup>+10</sup><sub>-12</sub></td><td>±9</td><td>231</td><td>8,9 ALEXANDER</td><td>10 CLEO</td><td>J/ψ → γp<span style="text-decoration: overline">p</span></td></tr><tr><td>1833.7</td><td>±6.1</td><td>±2.7</td><td>264</td><td>9,10 ABLIKIM</td><td>05R BES2</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr><tr><td>1831</td><td>±7</td><td></td><td></td><td>05R BES2</td><td>J/ψ → γp<span style="text-decoration: overline">p</span></td><td></td></tr><tr><td>1859</td><td><sup>+3</sup><sub>-10</sub></td><td>±5</td><td></td><td>9 BAI</td><td>03F BES2</td><td>J/ψ → γp<span style="text-decoration: overline">p</span></td></tr></table>

¹ From a fit of the measured $π^+π^-η'$ lineshape that accounts for the abrupt distortion observed at the $p\bar{p}$ threshold through interference with a second previously unseen narrow resonance near 1870 MeV. The fit uses Breit-Wigner functions for the signal shapes and includes known backgrounds and contributors.

² Decay dominated by $f_0(980)\eta$ hence $I^G(JPC) = 0^+(0^-)$.

³ From a fit to $\gamma\phi$ invariant mass. Angular analysis consistent with $JPC = 0^- +$. Other $JPC$ not excluded.

⁴ Pole mass from a fit of the measured $π^+π^-η'$ lineshape to a Flatte formula that accounts for the abrupt distortion observed at the $p\bar{p}$ threshold; the fit also includes known backgrounds and contributors, as well as an ad hoc Breit-Wigner function ($M \approx 1919$ MeV; $\Gamma \approx 51$ MeV) that is required for a good fit.

⁵ From the fit including final state interaction effects in isospin 0 S-wave according to SIBIRTSEV 05A. Supersedes ABLIKIM 10G.

⁶ From a fit of the $π^+π^-η'$ mass distribution to a combination of $\gamma f_1(1510)$, $\gamma X(1835)$, and two states $\gamma X(2120)$ and $\gamma X(2370)$, for $M(\pi^+\pi^-\eta') < 2.8$ GeV, and accounting for backgrounds from non-$\eta'$ events and $J/ψ \rightarrow \pi^0\pi^+\pi^-\eta'$.

⁷ The selected process is $J/ψ \rightarrow \omega a_0(980)\pi$. This state may be due also to $\eta_2(1870)$ or to a combination of $X(1835)$ and $\eta_2(1870)$.

⁸ From a fit of the $p\bar{p}$ mass distribution to a combination of $\gamma X(1835)$, $\gamma R$ with $M(R) = 2100$ MeV and $\Gamma(R) = 160$ MeV, and $\gamma p\bar{p}$ phase space, for $M(p\bar{p}) < 2.85$ GeV.

⁹ Evidence for a threshold enhancement in the $p\bar{p}$ mass spectrum was also reported by ABE 02K, AUBERT, B 05L, and WANG 05A in $B^+ \rightarrow p\bar{p}K^+$, WANG 05A in $B^0 \rightarrow p\bar{p}K^0$, ABE 02w in $B^0 \rightarrow p\bar{p}D^0$, DEL-AMO-SANCHEZ 12 in $B \rightarrow D(D^*)p\bar{p}(\pi)$, and WEI 08 in $B^+ \rightarrow p\bar{p}\pi^+$ decays. Not seen by ATHAR 06 in $\Upsilon(1S) \rightarrow p\bar{p}\gamma$.

¹⁰ From the fit including final state interaction effects in isospin 0 S-wave according to SIBIRTSEV 05A. Systematic errors not estimated.

# X(1835) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>CL% EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5" style="text-align: center;">242 <sup>+14</sup><sub>-15</sub> OUR AVERAGE</td></tr><tr><td>245.2</td><td>±13.1</td><td>±4.6</td><td>1 ABLIKIM</td><td>16J BES3</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr><tr><td>192</td><td><sup>+20</sup><sub>-17</sub></td><td><sup>+62</sup><sub>-43</sub></td><td>2 ABLIKIM</td><td>15T BES3</td><td>J/ψ → γK<sup>0</sup>S K<sup>0</sup>Sη</td></tr><tr><td colspan="5" style="text-align: center;">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>175</td><td>±57</td><td>±25</td><td>3 ABLIKIM</td><td>18I BES3</td><td>J/ψ → γγφ(1020)</td></tr><tr><td>273.5</td><td>±21.4</td><td>±6.1</td><td>4 ABLIKIM</td><td>16J BES3</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr><tr><td>83</td><td>±14</td><td>±11</td><td>0.6k</td><td>5 ABLIKIM</td><td>13U BES3</td><td>J/ψ → γ3(π<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>&lt; 76</td><td></td><td>90</td><td></td><td>12D BES3</td><td>J/ψ → γp<span style="text-decoration: overline">p</span></td><td></td></tr><tr><td>190</td><td>±9</td><td>±38</td><td>4265</td><td>6 ABLIKIM</td><td>11C BES3</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr><tr><td>57</td><td>±12</td><td>±19</td><td></td><td>7 ABLIKIM</td><td>11J BES3</td><td>J/ψ → ω(ηπ<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>0</td><td><sup>+44</sup><sub>-0</sub></td><td></td><td>231</td><td>8,9 ALEXANDER</td><td>10 CLEO</td><td>J/ψ → γp<span style="text-decoration: overline">p</span></td></tr><tr><td>67.7</td><td>±20.3</td><td>±7.7</td><td>264</td><td>9,10 ABLIKIM</td><td>05R BES2</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr><tr><td>&lt; 153</td><td></td><td>90</td><td></td><td>05R BES2</td><td>J/ψ → γp<span style="text-decoration: overline">p</span></td><td></td></tr><tr><td>&lt; 30</td><td></td><td></td><td></td><td>9 BAI</td><td>03F BES2</td><td>J/ψ → γp<span style="text-decoration: overline">p</span></td></tr></tbody></table>

¹ From a fit of the measured $π^+π^-η'$ lineshape that accounts for the abrupt distortion observed at the $p\bar{p}$ threshold through interference with a second previously unseen narrow resonance near 1870 MeV. The fit uses Breit-Wigner functions for the signal shapes and includes known backgrounds and contributors.

² Decay dominated by $f_0(980)\eta$ hence $I^G(JPC) = 0^+(0^-)$.

³ From a fit to $\gamma\phi$ invariant mass. Angular analysis consistent with $JPC = 0^- +$. Other $JPC$ not excluded.

⁴ Pole width from a fit of the measured $π^+π^-η'$ lineshape to a Flatte formula that accounts for the abrupt distortion observed at the $p\bar{p}$ threshold; the fit also includes known backgrounds and contributors, as well as an ad hoc Breit-Wigner function ($M \approx 1919$ MeV; $\Gamma \approx 51$ MeV) that is required for a good fit.

⁵ From the fit including final state interaction effects in isospin 0 S-wave according to SIBIRTSEV 05A. Supersedes ABLIKIM 10G.

⁶ From a fit of a $π^+π^-η'$ mass distribution to a combination of $\gamma f_1(1510)$, $\gamma X(1835)$, and two states $\gamma X(2120)$ and $\gamma X(2370)$, for $M(\pi^+\pi^-\eta') < 2.8$ GeV, and accounting for backgrounds from non-$\eta'$ events and $J/ψ \rightarrow \pi^0\pi^+\pi^-\eta'$.

⁷ The selected process is $J/ψ \rightarrow \omega a_0(980)\pi$. This state may be due also to $\eta_2(1870)$ or to a combination of $X(1835)$ and $\eta_2(1870)$.

⁸ From a fit of the $p\bar{p}$ mass distribution to a combination of $\gamma X(1835)$, $\gamma R$ with $M(R) = 2100$ MeV and $\Gamma(R) = 160$ MeV, and $\gamma p\bar{p}$ phase space, for $M(p\bar{p}) < 2.85$ GeV.

⁹ Evidence for a threshold enhancement in the $p\bar{p}$ mass spectrum was also reported by ABE 02K, AUBERT, B 05L, and WANG 05A in $B^+ \rightarrow p\bar{p}K^+$, WANG 05A in $B^0 \rightarrow p\bar{p}K^0$, ABE 02w in $B^0 \rightarrow p\bar{p}D^0$, DEL-AMO-SANCHEZ 12 in $B \rightarrow D(D^*)p\bar{p}(\pi)$, and WEI 08 in $B^+ \rightarrow p\bar{p}\pi^+$ decays. Not seen by ATHAR 06 in $\Upsilon(1S) \rightarrow p\bar{p}\gamma$.
$p\bar{p}K_S^0$, ABE 02w in $\bar{B}^0 \to p\bar{p}D^0$, DEL-AMO-SANCHEZ 12 in $B \to D(*)p\bar{p}(\pi)$, and WEI 08 in $B^+ \to p\bar{p}\pi^+$ decays. Not seen by ATHAR 06 in $\Upsilon(1S) \to p\bar{p}\gamma$.

¹⁰ From the fit including final state interaction effects in isospin 0 S-wave according to SIBIRTSEV 05A. Systematic errors not estimated.

X(1835) 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></td><td>seen</td></tr><tr><td>Γ<sub>2</sub></td><td>seen</td></tr><tr><td>Γ<sub>3</sub></td><td>not seen</td></tr><tr><td>Γ<sub>4</sub></td><td>seen</td></tr><tr><td>Γ<sub>5</sub></td><td>possibly seen</td></tr><tr><td>Γ<sub>6</sub></td><td>seen</td></tr></tbody></table>

X(1835) $\Gamma(i)\Gamma(\gamma\gamma)/\Gamma(\text{total})$

$$ \Gamma(\eta'\pi^+\pi^-) \times \Gamma(\gamma\gamma)/\Gamma_{\text{total}} \qquad \Gamma_2\Gamma_3/\Gamma $$

VALUE (eV) CL% DOCUMENT ID TECN COMMENT

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

<table><tr><td>&lt;35.6</td><td>90</td><td>1 ZHANG</td><td>12A BELL</td><td>e<sup>+</sup>e<sup>-</sup> → e<sup>+</sup>e<sup>-</sup> η'π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>&lt;83</td><td>90</td><td>2 ZHANG</td><td>12A BELL</td><td>e<sup>+</sup>e<sup>-</sup> → e<sup>+</sup>e<sup>-</sup> η'π<sup>+</sup>π<sup>-</sup></td></tr></table>

¹ From a two-resonance fit and constructive interference of the $\eta(1760)$ and $X(1835)$, a significance of 2.8 $\sigma$.

² From a two-resonance fit and destructive interference of the $\eta(1760)$ and $X(1835)$, a significance of 2.8 $\sigma$.

X(1835) BRANCHING RATIOS

$$ \Gamma(p\bar{p})/\Gamma(\eta'\pi^+\pi^-) \qquad \Gamma_1/\Gamma_2 $$

VALUE DOCUMENT ID TECN COMMENT

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

<table><tr><td>0.333</td><td>ABLIKIM</td><td>05R</td><td>BES2</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr></table>

$$ \Gamma(\eta'\pi^+\pi^-)/\Gamma(K_S^0 K_S^0 \eta) \qquad \Gamma_2/\Gamma_4 $$

VALUE DOCUMENT ID TECN COMMENT

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

<table><tr><td>6.7 ± 1.8</td><td>1 ABLIKIM</td><td>15T</td><td>BES3</td><td>J/ψ → γK_S^0 K_S^0 η</td></tr></table>

¹ Using results from ABLIKIM 05R.

$$ \Gamma(\eta'\pi^+\pi^-)/\Gamma_{\text{total}} \qquad \Gamma_2/\Gamma $$

VALUE DOCUMENT ID TECN COMMENT

<table><tr><td>seen</td><td>1 ABLIKIM</td><td>16J</td><td>BES3</td><td>J/ψ → γπ<sup>+</sup>π<sup>-</sup>η'</td></tr></table>

¹ ABLIKIM 16J quotes B($J/ψ \to \gamma X(1835)$) × B($X(1835) \to \pi^+\pi^-\eta'$) = (3.93 ± 0.38<sup>+0.31</sup><sub>-0.84</sub>) × 10<sup>-4</sup> from a fit of the measured $\pi^+\pi^-\eta'$ lineshape that accounts for the abrupt distortion observed at the $p\bar{p}$ threshold with a Flatte formula in addition to known backgrounds and contributors, as well as an ad hoc Breit-Wigner ($M \approx 1919$ MeV; $\Gamma \approx 51$ MeV) that is required for a good fit. Another explanation for the distortion provided by ABLIKIM 16J is that a second resonance near 1870 MeV interferes with the $X(1835)$; fits to this possibility yield product branching fraction values compatible with that shown within the respective systematic uncertainties.

$$ \Gamma(\gamma\phi(1020))/\Gamma_{\text{total}} \qquad \Gamma_5/\Gamma $$

VALUE DOCUMENT ID TECN COMMENT

<table><tr><td>possibly seen</td><td>1 ABLIKIM</td><td>18I</td><td>BES3</td><td>J/ψ → γγφ(1020)</td></tr></table>

¹ Seen as a peak in $\gamma\phi$ invariant mass. Angular analysis consistent with $J^PC = 0^- +$. Other $J^PC$ not excluded.

$$ \Gamma(\gamma\gamma)/\Gamma(\eta'\pi^+\pi^-) \qquad \Gamma_3/\Gamma_2 $$

VALUE DOCUMENT ID TECN COMMENT

<table><tr><td>&lt;9.80 × 10<sup>-3</sup></td><td>90</td><td>1 ABLIKIM</td><td>180</td><td>BES3</td><td>ψ(2S) → π<sup>+</sup>π<sup>-</sup>γγγ</td></tr></table>

¹ Using results from ABLIKIM 16J.

$$ \Gamma(3(\pi^+\pi^-))/\Gamma_{\text{total}} \qquad \Gamma_6/\Gamma $$

VALUE DOCUMENT ID TECN COMMENT

<table><tr><td>seen</td><td>0.6k</td><td>ABLIKIM</td><td>13U</td><td>BES3</td><td>J/ψ → γ3(π<sup>+</sup>π<sup>-</sup>)</td></tr></table>

X(1835) REFERENCES

<table><tr><td>ABLIKIM</td><td>18I</td><td>PR D97 051101</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>18O</td><td>PR D97 072014</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>16J</td><td>PR 117 042002</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>15T</td><td>PRL 115 091803</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>13U</td><td>PR D88 091502</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>12D</td><td>PRL 108 112003</td><td>M. Ablikim et al.</td><td>(BESIII Collab.) JPC</td></tr><tr><td>DEL-AMO-SA...</td><td>12</td><td>PR D85 092017</td><td>P. del Amo Sanchez et al.</td><td>(BABAR Collab.)</td></tr><tr><td>ZHANG</td><td>12A</td><td>PR D86 052002</td><td>C.C. Zhang et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABLIKIM</td><td>11C</td><td>PRL 106 072002</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>11J</td><td>PRL 107 182001</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>10G</td><td>CP C34 421</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ALEXANDER</td><td>10</td><td>PR D82 092002</td><td>J.P. Alexander et al.</td><td>(CLEO Collab.)</td></tr><tr><td>WEI</td><td>08</td><td>PL B659 80</td><td>J.-T. Wei et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ATHAR</td><td>06</td><td>PRL D73 032001</td><td>S.B. Athar et al.</td><td>(CLEO Collab.)</td></tr><tr><td>ABLIKIM</td><td>05R</td><td>PRL 95 262001</td><td>M. Ablikim et al.</td><td>(BES Collab.)</td></tr><tr><td>AUBERT, B.</td><td>05L</td><td>PRL D72 051101</td><td>B. Aubert et al.</td><td>(BABAR Collab.)</td></tr><tr><td>SIBIRTSEV</td><td>05A</td><td>PR D71 054010</td><td>A. Sibirtsev, J. Haldenbauer</td><td>(BELLE Collab.)</td></tr><tr><td>WANG</td><td>05A</td><td>PL B617 141</td><td>M.-Z. Wang et al.</td><td>(BES II Collab.)</td></tr><tr><td>BAI</td><td>03F</td><td>PRL 91 022001</td><td>J.Z. Bai et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABE</td><td>02K</td><td>PRL 88 181803</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABE</td><td>02W</td><td>PRL 89 151802</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr></table>

$$ \phi_3(1850) $$

$$ \iota^G(J^PC) = 0^{-}(3^{-}) $$

φ₃(1850) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>1854 ± 7 OUR AVERAGE</strong></td></tr><tr><td>1855 ± 10</td><td></td><td>ASTON</td><td>88E</td><td>LASS</td><td>11 K<sup>-</sup> p → K<sup>-</sup> K<sup>+</sup> Λ, K<sup>0</sup> K<sup>±</sup> π<sup>∓</sup>Λ</td></tr><tr><td>1870<sup>+30</sup><sub>-20</sub></td><td>430</td><td>ARMSTRONG</td><td>82</td><td>OMEG</td><td>18.5 K<sup>-</sup> p → K<sup>-</sup> K<sup>+</sup> Λ</td></tr><tr><td>1850 ± 10</td><td>123</td><td>ALHARRAN</td><td>81B</td><td>HBC</td><td>8.25 K<sup>-</sup> p → K<sup>-</sup> K<sup>+</sup>Λ</td></tr></tbody></table>

φ₃(1850) 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 colspan="5"><strong>87<sup>+28</sup><sub>-23</sub> OUR AVERAGE</strong> Error includes scale factor of 1.2.</td></tr><tr><td>64 ± 31</td><td></td><td>ASTON</td><td>88E</td><td>LASS</td><td>11 K<sup>-</sup> p → K<sup>-</sup> K<sup>+</sup> Λ, K<sup>0</sup> K<sup>±</sup> π<sup>∓</sup>Λ</td></tr><tr><td>160<sup>+90</sup><sub>-50</sub></td><td>430</td><td>ARMSTRONG</td><td>82</td><td>OMEG</td><td>18.5 K<sup>-</sup> p → K<sup>-</sup> K<sup>+</sup> Λ</td></tr><tr><td>80<sup>+40</sup><sub>-30</sub></td><td>123</td><td>ALHARRAN</td><td>81B</td><td>HBC</td><td>8.25 K<sup>-</sup> p → K<sup>-</sup> K<sup>+</sup>Λ</td></tr></tbody></table>

φ₃(1850) 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></td><td>seen</td></tr><tr><td>Γ<sub>2</sub></td><td>seen</td></tr></tbody></table>

φ₃(1850) BRANCHING RATIOS

$$ \Gamma(K\bar{K}^*(892) + \text{c.c.})/\Gamma(K\bar{K}) \qquad \Gamma_2/\Gamma_1 $$

VALUE DOCUMENT ID TECN COMMENT

<table><tr><td>0.55<sup>+0.85</sup><sub>-0.45</sub></td><td>ASTON</td><td>88E</td><td>LASS</td><td>11 K<sup>-</sup> p → K<sup>-</sup> K<sup>+</sup> Λ, K<sup>0</sup> K<sup>±</sup> π<sup>∓</sup>Λ</td></tr></table>

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

<table><tr><td>0.8 ± 0.4</td><td>ALHARRAN</td><td>81B</td><td>HBC</td><td>8.25 K<sup>-</sup> p → K<sup>-</sup> K<sup>+</sup>Λ</td></tr></table>

φ₃(1850) REFERENCES

ASTON 88E PL B208 324
ARMSTRONG 82 PL 110B 77
ALHARRAN 81B PL 101B 357

D. Aston et al.
T.A. Armstrong et al.
S. Al-Harran et al.

(SLAC, NAGO, CINC, INUS) IGJPC
(BARI, BIRM, CERN+) JP
(BIRM, CERN, GLAS+)

$$ \eta_1(1855) $$

$$ \iota^G(J^PC) = 0^{+}(1^{-}) $$

OMITTED FROM SUMMARY TABLE

Meson with exotic (non-$q\bar{q}$) quantum numbers. A state decaying into $\eta\eta'$ with possible quantum numbers $1^{-+}$ was reported earlier in this mass region BARBERIS 00A in high energy central $pp$ production and by ALDE 91B in $\pi^{-}p$ interactions, see the $\Gamma_2(1910)$, and the review on "Spectroscopy of Light Meson Resonances."

η₁(1855) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1855 ± 9<sup>+6</sup><sub>-1</sub></td><td>1 ABLIKIM</td><td>22AI</td><td>BES3</td><td>J/ψ(1S) → γηη'</td></tr></tbody></table>

¹ From a Breit-Wigner fit involving 9 resonances and the resonating exotic $\eta_1(1855) \to \eta\eta' P$-wave. For analysis details see ABLIKIM 22AS.

η₁(1855) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>188 ± 18<sup>+3</sup><sub>-8</sub></td><td>1 ABLIKIM</td><td>22AI</td><td>BES3</td><td>J/ψ(1S) → γηη'</td></tr></tbody></table>

¹ From a Breit-Wigner fit involving 9 resonances and the resonating exotic $\eta_1(1855) \to \eta\eta' P$-wave. For analysis details see ABLIKIM 22AS.

η₁(1855) 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></td><td>seen</td></tr></tbody></table>
$\Gamma(\eta\eta')/\Gamma_{\text{total}}$

VALUE DOCUMENT ID TECN COMMENT

seen ABLIKIM 22AI BES3 J/ψ → γηη'

seen BARBERIS 00A 450 pp → p_f ηη' p_S

seen ALDE 91B 38 π⁻ p → ηη' n

$\Gamma_1/\Gamma$

$\eta_1(1855)$ REFERENCES

ABLIKIM 22AI PRL 129 192002 M. Ablikim et al. (BESIII Collab.)

Also PR D106 072012 M. Ablikim et al. (BESIII Collab.)

ABLIKIM 22AS PR D106 072012 M. Ablikim et al. (BESIII Collab.)

Also PR D107 079901 (errat.) M. Ablikim et al. (BESIII Collab.)

BARBERIS 00A PL B471 429 D. Barberis et al. (WA 102 Collab.)

ALDE 91B SJNP 54 455 D.M. Alde et al. (SERP, BELG, LANL, LAPP+)

$\eta_2(1870)$

$\Gamma^G(jPC) = 0^+(2^-)$

$\eta_2(1870)$ MASS

VALUE (MeV) EVTS DOCUMENT ID TECN COMMENT

<table><thead><tr><th colspan="2">1842 ± 8 OUR AVERAGE</th></tr></thead><tbody><tr><td>1835 ± 12</td><td>BARBERIS 00B 450 pp → p_f ηπ⁺π⁻ p_S</td></tr><tr><td>1844 ± 13</td><td>BARBERIS 00C 450 pp → p_f 4πp_S</td></tr><tr><td>1840 ± 25</td><td>BARBERIS 97B OMEG 450 pp → p_p2(π⁺π⁻)</td></tr><tr><td>1875 ± 20 ± 35</td><td>ADOMEIT 96 CBAR 1.94 p̄p → η3π⁰</td></tr><tr><td>1881 ± 32 ± 40</td><td>KARCH 92 CBAL e⁺e⁻ → e⁺e⁻ηπ⁰π⁰</td></tr></tbody></table>

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

1860 ± 5 ± 15 ANISOVICH 00E SPEC 0.9-1.94 p̄p → η3π⁰

1840 ± 15 BAI 99 BES J/ψ → γηηπ⁺π⁻

$\eta_2(1870)$ WIDTH

VALUE (MeV) EVTS DOCUMENT ID TECN COMMENT

<table><thead><tr><th colspan="2">225 ± 14 OUR AVERAGE</th></tr></thead><tbody><tr><td>235 ± 22</td><td>BARBERIS 00B 450 pp → p_f ηπ⁺π⁻ p_S</td></tr><tr><td>228 ± 23</td><td>BARBERIS 00C 450 pp → p_f 4πp_S</td></tr><tr><td>200 ± 40</td><td>BARBERIS 97B OMEG 450 pp → p_p2(π⁺π⁻)</td></tr><tr><td>200 ± 25 ± 45</td><td>ADOMEIT 96 CBAR 1.94 p̄p → η3π⁰</td></tr><tr><td>221 ± 92 ± 44</td><td>KARCH 92 CBAL e⁺e⁻ → e⁺e⁻ηπ⁰π⁰</td></tr></tbody></table>

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

250 ± 25 ± 50 ANISOVICH 00E SPEC 0.9-1.94 p̄p → η3π⁰

170 ± 40 BAI 99 BES J/ψ → γηηπ⁺π⁻

$\eta_2(1870)$ 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> ηππ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> a<sub>2</sub>(1320)π</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> f<sub>2</sub>(1270)η</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> a<sub>0</sub>(980)π</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> γγ</td><td>seen</td></tr></tbody></table>

$\eta_2(1870)$ BRANCHING RATIOS

$\Gamma(\alpha_2(1320)\pi)/\Gamma(\alpha_2(1270)\eta)$ $\Gamma_2/\Gamma_3$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.7 ± 0.4</td><td colspan="3">OUR AVERAGE</td></tr><tr><td>1.60 ± 0.40</td><td>1 ANISOVICH</td><td>11 SPEC</td><td>0.9-1.94 p̄p</td></tr><tr><td>20.4 ± 6.6</td><td>BARBERIS</td><td>00B</td><td>450 pp → p_f ηπ⁺π⁻ p_S</td></tr><tr><td>4.1 ± 2.3</td><td>ADOMEIT</td><td>96 CBAR</td><td>1.94 p̄p → η3π⁰</td></tr></tbody></table>

¹Reanalysis of ADOMEIT 96 and ANISOVICH 00E.

$\Gamma(\alpha_2(1320)\pi)/\Gamma(\alpha_0(980)\pi)$ $\Gamma_2/\Gamma_4$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>32.6 ± 12.6</td><td>BARBERIS</td><td>00B 450 pp → p_f ηπ⁺π⁻ p_S</td></tr></tbody></table>

$\Gamma(\alpha_0(980)\pi)/\Gamma(\alpha_2(1270)\eta)$ $\Gamma_4/\Gamma_5$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.48 ± 0.45</td><td>1 ANISOVICH</td><td>11 SPEC</td><td>0.9-1.94 p̄p</td></tr></tbody></table>

¹Reanalysis of ADOMEIT 96 and ANISOVICH 00E.

$\Gamma(\gamma\gamma)/\Gamma_{\text{total}}$ $\Gamma_5/\Gamma$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>KARCH 92</td><td>CBAL e⁺e⁻ → e⁺e⁻ηπ⁰π⁰</td><td></td></tr></tbody></table>

$\eta_2(1870)$ REFERENCES

ANISOVICH 11 EPJ C71 1511 A.V. Anisovich et al. (LOQM, RAL, PNPI)

ANISOVICH 00E PL B477 19 A.V. Anisovich et al. (WA 102 Collab.)

ANISOVICH 00B PL B471 435 D. Barberis et al. (WA 102 Collab.)

ANISOVICH 00C PL B471 440 D. Barberis et al. (WA 102 Collab.)

BARBERIS 99 PL B446 356 J.Z. Bai et al. (BES Collab.)

BARBERIS 97B PL B413 217 D. Barberis et al. (WA 102 Collab.)

ADOMEIT 96 ZPHY C71 227 J. Adomeit et al. (Crystal Barrel Collab.)

$\pi_2(1880)$

$\Gamma^G(jPC) = 1^-(2^+)$

$\pi_2(1880)$ MASS

VALUE (MeV) EVTS DOCUMENT ID TECN CHG COMMENT

1874 + 26 5 OUR AVERAGE Error includes scale factor of 1.6. See the ideogram below.

1847 + 20 3 46M 1 AGHASYAN 18B COMP 190 π⁻ p → π⁻π⁺π⁻ p

1929 ± 24 ± 18 4k EUGENIO 08 B852 — 18 π⁻ p → ηηπ⁻ p

1876 ± 11 ± 67 145k LU 05 B852 — 18 π⁻ p → ωπ⁻ π⁰ p

2003 ± 88 ± 148 69k KUHN 04 B852 — 18 π⁻ p → ηπ⁺π⁻ π⁻ p

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

1880 ± 20 ANISOVICH 01B SPEC 0 0.6-1.94 p̄p → ηηπ⁰π⁰

¹Statistical error negligible.

WEIGHTED AVERAGE
1874+26-5 (Error scaled by 1.6)

<figure><img src="image_496.png" /><figcaption>$\eta_2(1880)$ MASS (MeV)</figcaption></figure>

$\eta_2(1880)$ WIDTH

VALUE (MeV) EVTS DOCUMENT ID TECN CHG COMMENT

237 + 33 30 OUR AVERAGE Error includes scale factor of 1.2.

246 + 33 28 46M 2 AGHASYAN 18B COMP 190 π⁻ p → π⁻π⁺π⁻ p

323 ± 87 ± 43 4k EUGENIO 08 B852 — 18 π⁻ p → ηηπ⁻ p

146 ± 17 ± 62 145k LU 05 B852 — 18 π⁻ p → ωπ⁻ π⁰ p

306 ± 132 ± 121 69k KUHN 04 B852 — 18 π⁻ p → ηπ⁺π⁻ π⁻ p

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

255 ± 45 ANISOVICH 01B SPEC 0 0.6-1.94 p̄p → ηηπ⁰π⁰

²Statistical error negligible.

$\eta_2(1880)$ 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> ηηπ⁻</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> a<sub>0</sub>(980)η</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> a<sub>2</sub>(1320)η</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> f<sub>0</sub>(1500)π</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> f<sub>1</sub>(1285)π</td><td>seen</td></tr><tr><td>Γ<sub>6</sub> ωπ⁻ π⁰</td><td>seen</td></tr></tbody></table>

$\Gamma(\alpha_2(1320)\eta)/\Gamma(\alpha_1(1285)\pi)$ $\Gamma_3/\Gamma_5$

VALUE EVTS DOCUMENT ID TECN CHG COMMENT

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

22.7 ± 7.3 69k KUHN 04 B852 — 18 π⁻ p → ηπ⁺π⁻ π⁻ p

$\Gamma(\alpha_1(1500)\pi)/\Gamma(\alpha_0(980)\eta)$ $\Gamma_4/\Gamma_5$

VALUE DOCUMENT ID TECN CHG COMMENT

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

0.28 + 0.20 - 0.15 ³ ANISOVICH 01B SPEC 0 0.6-1.94 p̄p → ηηπ⁰π⁰

³Systematic errors not estimated.

$\eta_2(1880)$ REFERENCES

AGHASYAN 18B PR D98 092003 M. Aghasyan et al. (COMPASS Collab.)

EUGENIO 08 PL B560 466 P. Eugenio et al. (BNL E852 Collab.)

LU 05 PRL 94 032002 M. Lu et al. (BNL E852 Collab.)

KUHN 04 PL B595 109 J. Kuhn et al. (BNL E852 Collab.)
Meson Particle Listings

$\rho(1900)$, $f_2(1910)$

See key on page 1171

$\rho(1900)$

$I^G(J^{PC}) = 1^+(1^-)$

OMITTED FROM SUMMARY TABLE

See the review on "Spectroscopy of Light Meson Resonances."

$\rho(1900)$ 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>1880±10</td><td></td><td>1 ABLIKIM</td><td>22L</td><td>BES3 2.0-3.08 e<sup>+</sup>e<sup>-</sup> → K<sup>+</sup>K<sup>-</sup>π<sup>0</sup></td></tr><tr><td>1909±17±25</td><td>54</td><td>2 AUBERT</td><td>08S</td><td>BABR 10.6 e<sup>+</sup>e<sup>-</sup> → φπ<sup>0</sup>γ</td></tr><tr><td>1880±30</td><td></td><td>AUBERT</td><td>06D</td><td>BABR 10.6 e<sup>+</sup>e<sup>-</sup> → 3π<sup>+</sup>3π<sup>-</sup>γ</td></tr><tr><td>1860±20</td><td></td><td>AUBERT</td><td>06D</td><td>BABR 10.6 e<sup>+</sup>e<sup>-</sup> → 2(π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>)γ</td></tr><tr><td>1910±10</td><td></td><td>3,4 FRABETTI</td><td>04</td><td>E687 γp → 3π<sup>+</sup>3π<sup>-</sup>ρ</td></tr><tr><td>1870±10</td><td></td><td>ANTONELLI</td><td>96</td><td>SPEC e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr></tbody></table>

¹ From 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.

² From the fit with two resonances.

³ From a fit with two resonances with the JACOB 72 continuum.

⁴ Supersedes FRABETTI 01.

$\rho(1900)$ 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>69±15</td><td></td><td>1 ABLIKIM</td><td>22L</td><td>BES3 2.0-3.08 e<sup>+</sup>e<sup>-</sup> → K<sup>+</sup>K<sup>-</sup>π<sup>0</sup></td></tr><tr><td>48±17±2</td><td>54</td><td>2 AUBERT</td><td>08S</td><td>BABR 10.6 e<sup>+</sup>e<sup>-</sup> → φπ<sup>0</sup>γ</td></tr><tr><td>130±30</td><td></td><td>AUBERT</td><td>06D</td><td>BABR 10.6 e<sup>+</sup>e<sup>-</sup> → 3π<sup>+</sup>3π<sup>-</sup>γ</td></tr><tr><td>160±20</td><td></td><td>AUBERT</td><td>06D</td><td>BABR 10.6 e<sup>+</sup>e<sup>-</sup> → 2(π<sup>+</sup>π<sup>-</sup>π<sup>0</sup>)γ</td></tr><tr><td>37±13</td><td></td><td>3,4 FRABETTI</td><td>04</td><td>E687 γp → 3π<sup>+</sup>3π<sup>-</sup>ρ</td></tr><tr><td>10±5</td><td></td><td>ANTONELLI</td><td>96</td><td>SPEC e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr></tbody></table>

¹ From 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.

² From the fit with two resonances.

³ From a fit with two resonances with the JACOB 72 continuum.

⁴ Supersedes FRABETTI 01.

$\rho(1900) \Gamma(i)\Gamma(e^+e^-)/\Gamma^2(\text{total})$

$$ \begin{array}{l} \Gamma(\phi\pi)/\Gamma_{\text{total}} \times \Gamma(e^+e^-)/\Gamma_{\text{total}} \\ \text{VALUE (units } 10^{-8}) \quad \text{EVTS} \quad \text{DOCUMENT ID} \quad \text{TECN} \quad \text{COMMENT} \end{array} \qquad \Gamma_4/\Gamma \times \Gamma_6/\Gamma $$

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

4.2±1.2±0.8 54 1 AUBERT 08S BABR 10.6 e<sup>+</sup>e<sup>-</sup> → φπ<sup>0</sup>γ

¹ From the fit with two resonances.

$\rho(1900)$ 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> 6π</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> 3π<sup>+</sup>3π<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>3</sub> 2π<sup>+</sup>2π<sup>-</sup> 2π<sup>0</sup></td><td></td></tr><tr><td>Γ<sub>4</sub> φπ</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> hadrons</td><td>seen</td></tr><tr><td>Γ<sub>6</sub> e<sup>+</sup>e<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>7</sub> N̄N</td><td>not seen</td></tr></tbody></table>

$\rho(1900)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(6π)/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>8k</td><td>AKHMETSHIN 13</td><td>CMD3</td><td>e<sup>+</sup>e<sup>-</sup> → 3π<sup>+</sup>3π<sup>-</sup></td></tr><tr><td>not seen</td><td></td><td>AGNELLO 02</td><td>OBLX</td><td>πp → 3π<sup>+</sup>2π<sup>-</sup>π<sup>0</sup></td></tr><tr><td>seen</td><td></td><td>FRABETTI 01</td><td>E687</td><td>γp → 3π<sup>+</sup>3π<sup>-</sup>ρ</td></tr><tr><td>seen</td><td></td><td>ANTONELLI 96</td><td>SPEC</td><td>e<sup>+</sup>e<sup>-</sup> → hadrons</td></tr></tbody></table>

$\rho(1900)$ REFERENCES

ABLIKIM 22L JHEP 2207 045

AKHMETSHIN 13 PL B723 82

AUBERT 08S PR D77 092002

AUBERT 06D PR D73 052003

FRABETTI 04 PL B578 290

AGNELLO 02 PL B527 39

FRABETTI 01 PL B514 240

ANTONELLI 96 PL B365 427

JACOB 72 PR D5 1847

M. Ablikim et al. (BESIII Collab.)

R.R. Akhmetshin et al. (CMD-3 Collab.)

B. Aubert et al. (BABAR Collab.)

B. Aubert et al. (BABAR Collab.)

P.L. Frabetti et al. (FNAL E687 Collab.)

M. Agnello et al. (OBEPIX Collab.)

P.L. Frabetti et al. (FNAL E687 Collab.)

A. Antonelli et al. (FENICE Collab.)

M. Jacob, R. Slansky

$f_2(1910)$

$I^G(J^{PC}) = 0^+(2^+)$

OMITTED FROM SUMMARY TABLE

We list here three different peaks with close masses and widths seen in the mass distributions of $\omega\omega$, $\eta\eta'$, and $K^+K^-$ final states. ALDE 91B argues that they are of different nature.

$f_2(1910)$ MASS

$f_2(1910) \omega\omega$ MODE

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1900±9 OUR AVERAGE</td><td colspan="3">Error includes scale factor of 1.4. See the ideogram below.</td></tr><tr><td>1890±10</td><td>1 AMELIN</td><td>06</td><td>VES 36 π<sup>-</sup> p → ωωn</td></tr><tr><td>1897±11</td><td>BARBERIS</td><td>00F</td><td>450 p p → p<sub>f</sub> ωωp<sub>s</sub></td></tr><tr><td>1924±14</td><td>ALDE</td><td>90</td><td>GAM2 38 π<sup>-</sup> p → ωωn</td></tr></tbody></table>

¹ Supersedes BELADIDZE 92B.

WEIGHTED AVERAGE
1900±9 (Error scaled by 1.4)

<figure><img src="image_497.png" /><figcaption>$f_2(1910)$ $\omega\omega$ MODE MASS (MeV)</figcaption></figure>

$f_2(1910) \eta\eta'$ MODE

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1934±16</td><td>1 BARBERIS</td><td>00A</td><td>450 p p → p<sub>f</sub> ηη' p<sub>s</sub></td></tr><tr><td>1934±20</td><td>2 ANISOVICH</td><td>00J</td><td>SPEC</td></tr><tr><td>1911±10</td><td>ALDE</td><td>91B</td><td>GAM2 38 π<sup>-</sup> p → ηη' n</td></tr></tbody></table>

¹ Also compatible with $J^{PC} = 1^-$.

² Combined fit with $\eta\eta$, $\pi\pi$, and $\eta\pi\pi$.

$f_2(1910) K^+K^-$ MODE

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1941±18</td><td>1 AMSLER</td><td>06</td><td>CBAR 1.64 p p → K<sup>+</sup>K<sup>-</sup>π<sup>0</sup></td></tr></tbody></table>

¹ Tentative, could be $f_2(1950)$.

$f_2(1910)$ WIDTH

$f_2(1910) \omega\omega$ MODE

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>167±21 OUR AVERAGE</td><td colspan="3">Error includes scale factor of 1.3. See the ideogram below.</td></tr><tr><td>165±19</td><td>1 AMELIN</td><td>06</td><td>VES 36 π<sup>-</sup> p → ωωn</td></tr><tr><td>202±32</td><td>BARBERIS</td><td>00F</td><td>450 p p → p<sub>f</sub> ωωp<sub>s</sub></td></tr><tr><td>91±50</td><td>ALDE</td><td>90</td><td>GAM2 38 π<sup>-</sup> p → ωωn</td></tr></tbody></table>

¹ Supersedes BELADIDZE 92B.

WEIGHTED AVERAGE
167±21 (Error scaled by 1.3)

<figure><img src="image_498.png" /><figcaption>$f_2(1910)$ $\omega\omega$ mode width (MeV)</figcaption></figure>
# Meson Particle Listings

## f₂(1910), a₀(1950), f₂(1950)

### f₂(1910) ηη' MODE

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>141 ± 41</td><td>1 BARBERIS</td><td>00A</td><td>450 pp → p<sub>f</sub> ηη' p<sub>s</sub></td></tr><tr><td>271 ± 25</td><td>2 ANISOVICH</td><td>00J</td><td>SPEC</td></tr><tr><td>90 ± 35</td><td>ALDE</td><td>91B</td><td>GAM2 38 π<sup>-</sup> p → ηη' n</td></tr></tbody></table>

¹Also compatible with $J^{PC}=1^{-+}$.

²Combined fit with $ηη, ππ$, and $ηππ$.

### f₂(1910) K⁺K⁻ MODE

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>120 ± 40</td><td>AMSLER</td><td>06</td><td>CBAR 1.64 p̄p → K⁺K⁻π⁰</td></tr></tbody></table>

### f₂(1910) 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> π<sup>0</sup>π<sup>0</sup></td><td></td></tr><tr><td>Γ<sub>2</sub> K<sup>+</sup>K<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>3</sub> K<sup>0</sup><sub>S</sub> K<sup>0</sup><sub>S</sub></td><td></td></tr><tr><td>Γ<sub>4</sub> ηη</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> ωω</td><td>seen</td></tr><tr><td>Γ<sub>6</sub> ηη'</td><td>seen</td></tr><tr><td>Γ<sub>7</sub> η'η'</td><td></td></tr><tr><td>Γ<sub>8</sub> ρρ</td><td>seen</td></tr><tr><td>Γ<sub>9</sub> Δ<sub>2</sub>(1320) π</td><td>seen</td></tr><tr><td>Γ<sub>10</sub> f<sub>2</sub>(1270) η</td><td>seen</td></tr></tbody></table>

### f₂(1910) BRANCHING RATIOS

<table><thead><tr><th>Γ(K<sup>+</sup>K<sup>-</sup>)/Γ<sub>total</sub></th><th>Γ<sub>2</sub>/Γ</th></tr></thead><tbody><tr><td>VALUE</td><td></td></tr><tr><td>seen</td><td></td></tr><tr><td>1 Tentative, could be f<sub>2</sub>(1950).</td><td></td></tr></tbody></table>

<table><thead><tr><th>Γ(π<sup>0</sup>π<sup>0</sup>)/Γ(ηη')</th><th>Γ<sub>1</sub>/Γ<sub>6</sub></th></tr></thead><tbody><tr><td>VALUE</td><td></td></tr><tr><td>&lt;0.1</td><td></td></tr><tr><td>ALDE</td><td>89</td></tr><tr><td>GAM2</td><td>38 π<sup>-</sup> p → ηη' n</td></tr></tbody></table>

<table><thead><tr><th>Γ(K<sup>0</sup><sub>S</sub> K<sup>0</sup><sub>S</sub>)/Γ(ηη')</th><th>Γ<sub>3</sub>/Γ<sub>6</sub></th></tr></thead><tbody><tr><td>VALUE</td><td></td></tr><tr><td>CL%</td><td></td></tr><tr><td>&lt;0.066</td><td></td></tr><tr><td>BALOSHIN</td><td>86</td></tr><tr><td>SPEC</td><td>40 πp → K<sup>0</sup><sub>S</sub> K<sup>0</sup><sub>S</sub> n</td></tr></tbody></table>

<table><thead><tr><th>Γ(ηη)/Γ(ηη')</th><th>Γ<sub>4</sub>/Γ<sub>6</sub></th></tr></thead><tbody><tr><td>VALUE</td><td></td></tr><tr><td>CL%</td><td></td></tr><tr><td>&lt;0.05</td><td></td></tr><tr><td>BALDE</td><td>90</td></tr><tr><td>GAM2</td><td>38 π<sup>-</sup> p → ηη' n</td></tr></tbody></table>

<table><thead><tr><th>Γ(ωω)/Γ(ηη')</th><th>Γ<sub>5</sub>/Γ<sub>6</sub></th></tr></thead><tbody><tr><td>VALUE</td><td></td></tr><tr><td>CL%</td><td></td></tr><tr><td>2.6 ± 0.6</td><td></td></tr><tr><td>BARBERIS</td><td>00F</td></tr><tr><td>450 p̄p → p<sub>f</sub> ωω p<sub>s</sub></td><td></td></tr></tbody></table>

<table><thead><tr><th>Γ(η'η')/Γ<sub>total</sub></th><th>Γ<sub>7</sub>/Γ</th></tr></thead><tbody><tr><td>VALUE</td><td></td></tr><tr><td>CL%</td><td></td></tr><tr><td>probably not seen</td><td></td></tr><tr><td>BALABAN</td><td>00A</td></tr><tr><td>BELADIDZE</td><td>92D</td></tr><tr><td>VES</td><td>37 π<sup>-</sup> p → η'η' n</td></tr></tbody></table>

<table><thead><tr><th>Γ(ρρ)/Γ(ωω)</th><th>Γ<sub>8</sub>/Γ<sub>5</sub></th></tr></thead><tbody><tr><td>VALUE</td><td></td></tr><tr><td>CL%</td><td></td></tr><tr><td>2.6 ± 0.4</td><td></td></tr><tr><td>BARBERIS</td><td>00F</td></tr><tr><td>450 p̄p → p<sub>f</sub> ωω p<sub>s</sub></td><td></td></tr></tbody></table>

<table><thead><tr><th>Γ(f₂(1270)η)/Γ(Δ₂(1320)π)</th><th>Γ<sub>10</sub>/Γ<sub>9</sub></th></tr></thead><tbody><tr><td>VALUE</td><td></td></tr><tr><td>0.09 ± 0.05</td><td></td></tr><tr><td>1 ANISOVICH</td><td>11</td></tr><tr><td>SPEC</td><td>0.9-1.94 p̄p</td></tr></tbody></table>

¹Reanalysis of ADOMEIT 96 and ANISOVICH 00E.

### f₂(1910) REFERENCES

ANISOVICH 11 EPJ C71 1511

AMELIN 06 PAN 69 690
Translated from YAF 69 715.

A.V. Anisovich et al.

D.V. Amelin et al.

(LOQM, RAL, PNPI)

(VES Collab.)

AMSLER 06 PL B639 165

ANISOVICH 00E PL B477 19

ANISOVICH 00J PL B491 47

BARBERIS 00A PL B471 429

BARBERIS 00F PL B484 198

ADOMEIT 96 ZPHY C71 227

BELADIDZE 92B ZPHY C54 367

BELADIDZE 92D ZPHY C57 13

ALDE 91B SJNP 54 455

Translated from YAF 54 751.

Also

ALDE 90 PL B276 375

ALDE 89 PL B216 447

Also 48 SJNP 48 1035

Translated from YAF 48 1724.

BALOSHIN 86 O.N. Baloshin et al.

C. Amsler et al.

A.V. Anisovich et al.

A.V. Anisovich et al.

D. Barberis et al.

D. Barberis et al.

J. Adomeit et al.

G.M. Beladidze et al.

G.M. Beladidze et al.

D.M. Alde et al.

D.M. Alde et al.

D.M. Alde et al.

D.M. Alde et al.

D.M. Alde et al.

D.M. Alde et al.

D.M. Alde et al.

(Crystal Barrel Collab.)

(RAL, LOQM, PNPI+)

(WA 102 Collab.)

(WA 102 Collab.)

(Crystal Barrel Collab.)

(VES Collab.)

(VES Collab.)

(SERP, BELG, LANL, LAPP+)

(SERP, BELG, LANL, LAPP)

(SERP, BELG, LANL, LAPP+)

(SERP, BELG, LANL, LAPP)

(SERP, BELG, LANL, LAPP)

(SERP, BELG, LANL, LAPP)

(ITEP)

$$a_0(1950)$$

$$\ell^G(J^{PC}) = 1^{-}(0^{++})$$

### OMITTED FROM SUMMARY TABLE

Needs confirmation. Seen in $γγ → η_c(1S) → K\bar{K}π$ by LEES 16A with significance 2.5 $\sigma$ in $K_S^0 K^± π^∓$ and 4.2 $\sigma$ in $K^+ K^− π^0$.

### a₀(1950) 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>1931 ± 14 ± 22</td><td>12k</td><td>1.2 LEES</td><td>16A BABR</td><td>γγ → η<sub>c</sub>(1S) → K<span style="text-decoration: overline">K</span>π</td></tr></tbody></table>

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

$$1949 \pm 32 \pm 76 \quad 8k \quad 1 \text{ LEES} \quad 16A \text{ BABR} \quad \gamma\gamma \to \eta_c(1S) \to K_S^0 K^\pm \pi^\mp$$

$$1927 \pm 15 \pm 23 \quad 4k \quad 1 \text{ LEES} \quad 16A \text{ BABR} \quad \gamma\gamma \to \eta_c(1S) \to K^+ K^- \pi^0$$

¹From a model-independent partial wave analysis fit to a relativistic Breit-Wigner function with a floating width.

²Weighted average of the $K_S^0 K^±$ and $K^+ K^−$ decay modes.

### a₀(1950) 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>271 ± 22 ± 29</td><td>12k</td><td>1.2 LEES</td><td>16A BABR</td><td>γγ → η<sub>c</sub>(1S) → K<span style="text-decoration: overline">K</span>π</td></tr></tbody></table>

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

$$265 \pm 36 \pm 110 \quad 8k \quad 1 \text{ LEES} \quad 16A \text{ BABR} \quad \gamma\gamma \to \eta_c(1S) \to K_S^0 K^\pm \pi^\mp$$

$$274 \pm 28 \pm 30 \quad 4k \quad 1 \text{ LEES} \quad 16A \text{ BABR} \quad \gamma\gamma \to \eta_c(1S) \to K^+ K^- \pi^0$$

¹From a model-independent partial wave analysis fit to a relativistic Breit-Wigner function with a floating mass.

²Weighted average of the $K_S^0 K^±$ and $K^+ K^−$ decay modes.

### a₀(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<span style="text-decoration: overline">K</span></td><td>seen</td></tr></tbody></table>

### a₀(1950) BRANCHING RATIOS

<table><thead><tr><th>Γ(K<span style="text-decoration: overline">K</span>)/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>12k</td><td>1 LEES</td><td>16A BABR</td><td>γγ → η<sub>c</sub>(1S) → K<span style="text-decoration: overline">K</span>π</td></tr></tbody></table>

¹From a model-independent partial wave analysis.

### a₀(1950) REFERENCES

LEES 16A

PR D93 012005

J.P. Lees et al.

(BABAR Collab.)

$$f_2(1950)$$

$$\ell^G(J^{PC}) = 0^{+}(2^{++})$$

### f₂(1950) T-MATRIX POLE $\sqrt{s}$

Note that $Γ = -2 \text{Im}(\sqrt{s})$.

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>(1830-2020) - i (110-220)</td><td>OUR ESTIMATE</td><td></td><td></td></tr><tr><td>(1955 ± 75) - i (175 ± 57)</td><td>1 RODAS</td><td>22</td><td>RVUE J/ψ(1S) → γ (ππ, K<span style="text-decoration: overline">K</span>)</td></tr><tr><td>(1978.2 ± 1.8<sup>+28.4</sup><sub>-16.9</sub>) - i</td><td>2 ALBRECHT</td><td>20</td><td>RVUE 0.9 p̄p → π<sup>0</sup>π<sup>0</sup>η, π<sup>0</sup>ηη, π<sup>0</sup>K<sup>+</sup>K<sup>-</sup></td></tr><tr><td>(118.8 ± 0.8<sup>+20.8</sup><sub>-7.8</sub>)</td><td></td><td></td><td></td></tr><tr><td>(1867 ± 46) - i (193 ± 29)</td><td>AMSLER</td><td>02</td><td>CBAR 0.9 p̄p → π<sup>0</sup>ηη, π<sup>0</sup>π<sup>0</sup>π<sup>0</sup></td></tr></tbody></table>

¹T-matrix pole from coupled channel K-matrix fit to data on $J/ψ → γπ^0π^0$ (AB-LIKIM 15AE) and $J/ψ → γK_S^0K_S^0$ (ABLIKIM 18AA).

²T-matrix pole, 4 poles, 4 channels, including scattering data from HYAMS 75 (ππ), LONGACRE 86 (K<span style="text-decoration: overline">K</span>), BINON 83 (ηη).
$f_2(1950)$ 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>1936±12 OUR AVERAGE</strong></td></tr><tr><td>1940±50</td><td>BAI</td><td>00A</td><td>BES</td><td>J/ψ → γ(π<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>1980±22</td><td>1 BARBERIS</td><td>00C</td><td></td><td>450 pp → pp4π</td></tr><tr><td>1940±22</td><td>2 BARBERIS</td><td>00C</td><td></td><td>450 pp → pp2π2π<sup>0</sup></td></tr><tr><td>1960±30</td><td>BARBERIS</td><td>97B</td><td>OMEG</td><td>450 pp → pp2(π<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>1918±12</td><td>ANTINORI</td><td>95</td><td>OMEG</td><td>300,450 pp → pp2(π<sup>+</sup>π<sup>-</sup>)</td></tr></tbody></table>

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

<table><tbody><tr><td>2038<sup>+13</sup><sub>-11</sub><sup>+12</sup><sup>+73</sup></td><td>3 UEHARA</td><td>09</td><td>BELL</td><td>10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> π<sup>0</sup> π<sup>0</sup></td></tr><tr><td>1930±25</td><td>4 BINON</td><td>05</td><td>GAMS</td><td>33 π<sup>-</sup> p → ηηη</td></tr><tr><td>1980±2±14</td><td>ABE</td><td>04</td><td>BELL</td><td>10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>2010±25</td><td>ANISOVICH</td><td>00J</td><td>SPEC</td><td></td></tr><tr><td>1980±50</td><td>ANISOVICH</td><td>99B</td><td>SPEC</td><td>1.35-1.94 p p&#773; → ηηπ<sup>0</sup></td></tr><tr><td>~ 1990</td><td>5 OAKDEN</td><td>94</td><td>RVUE</td><td>0.36-1.55 p p&#773; → ππ</td></tr><tr><td>1950±15</td><td>6 ASTON</td><td>91</td><td>LASS</td><td>11 K<sup>-</sup> p → ΛK K&#773; ππ</td></tr></tbody></table>

¹Decaying into $π^+π^-2π^0$.

²Decaying into $2(π^+π^-)$.

³Taking into account $f_4(2050)$.

⁴First solution, PWA is ambiguous.

⁵From solution B of amplitude analysis of data on $p\bar{p} \to \pi\pi$. See however KLOET 96 who fit $π^+π^-$ only and find waves only up to $J=3$ to be important but not significantly resonant.

⁶Cannot determine spin to be 2.

WEIGHTED AVERAGE
1936±12 (Error scaled by 1.3)

<figure><img src="image_499.png" /><figcaption>$f_2(1950)$ mass (MeV)</figcaption></figure>

$f_2(1950)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4"><strong>464±24 OUR AVERAGE</strong></td></tr><tr><td>380<sup>+120</sup><sub>-25</sub><sup>+192</sup></td><td>BAI</td><td>00A</td><td>BES</td><td>J/ψ → γ(π<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>520±50</td><td>1 BARBERIS</td><td>00C</td><td></td><td>450 pp → pp4π</td></tr><tr><td>485±55</td><td>2 BARBERIS</td><td>00C</td><td></td><td>450 pp → pp4π</td></tr><tr><td>460±40</td><td>BARBERIS</td><td>97B</td><td>OMEG</td><td>450 pp → pp2(π<sup>+</sup>π<sup>-</sup>)</td></tr><tr><td>390±60</td><td>ANTINORI</td><td>95</td><td>OMEG</td><td>300,450 pp → pp2(π<sup>+</sup>π<sup>-</sup>)</td></tr></tbody></table>

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

<table><tbody><tr><td>441<sup>+27</sup><sub>-25</sub><sup>+28</sup><sup>+192</sup></td><td>3 UEHARA</td><td>09</td><td>BELL</td><td>10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> π<sup>0</sup> π<sup>0</sup></td></tr><tr><td>450±50</td><td>4 BINON</td><td>05</td><td>GAMS</td><td>33 π<sup>-</sup> p → ηηη</td></tr><tr><td>297±12±6</td><td>ABE</td><td>04</td><td>BELL</td><td>10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td></tr><tr><td>495±35</td><td>ANISOVICH</td><td>00J</td><td>SPEC</td><td></td></tr><tr><td>500±100</td><td>ANISOVICH</td><td>99B</td><td>SPEC</td><td>1.35-1.94 p p&#773; → ηηπ<sup>0</sup></td></tr><tr><td>~ 100</td><td>5 OAKDEN</td><td>94</td><td>RVUE</td><td>0.36-1.55 p p&#773; → ππ</td></tr><tr><td>250±50</td><td>6 ASTON</td><td>91</td><td>LASS</td><td>11 K<sup>-</sup> p → ΛK K&#773; ππ</td></tr></tbody></table>

¹Decaying into $π^+π^-2π^0$.

²Decaying into $2(π^+π^-)$.

³Taking into account $f_4(2050)$.

⁴First solution, PWA is ambiguous.

⁵From solution B of amplitude analysis of data on $p\bar{p} \to \pi\pi$. See however KLOET 96 who fit $π^+π^-$ only and find waves only up to $J=3$ to be important but not significantly resonant.

⁶Cannot determine spin to be 2.

$f_2(1950)$ 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) K&#773;*(892)</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> ππ</td><td></td></tr><tr><td>Γ<sub>3</sub> π<sup>+</sup>π<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>4</sub> π<sup>0</sup>π<sup>0</sup></td><td>seen</td></tr><tr><td>Γ<sub>5</sub> 4π</td><td>seen</td></tr></tbody></table>

<table><tbody><tr><td>Γ<sub>6</sub></td><td>π<sup>+</sup>π<sup>-</sup>π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>Γ<sub>7</sub></td><td>a<sub>2</sub>(1320)π</td></tr><tr><td>Γ<sub>8</sub></td><td>ηη</td><td>seen</td></tr><tr><td>Γ<sub>9</sub></td><td>K&#773;K</td><td>seen</td></tr><tr><td>Γ<sub>10</sub></td><td>γγ</td><td>seen</td></tr><tr><td>Γ<sub>11</sub></td><td>p p&#773;</td><td>seen</td></tr></tbody></table>

$f_2(1950)$ $\Gamma(i)\Gamma(\gamma\gamma)/\Gamma(\text{total})$

$$ \Gamma(K\bar{K}) \times \Gamma(\gamma\gamma)/\Gamma_{\text{total}} \qquad \Gamma_9\Gamma_{10}/\Gamma $$

<table><thead><tr><th>VALUE (eV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>122±4±26</td><td>1 ABE</td><td>04</td><td>BELL</td><td>10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> K<sup>+</sup> K<sup>-</sup></td></tr><tr><td colspan="5"><sup>1</sup>Assuming spin 2.</td></tr></tbody></table>

$$ \Gamma(\pi\pi) \times \Gamma(\gamma\gamma)/\Gamma_{\text{total}} \qquad \Gamma_{2\text{G}}\Gamma_{10}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>162<sup>+69</sup><sub>-42</sub><sup>+1137</sup><sup>+204</sup></td><td>1 UEHARA</td><td>09</td><td>BELL</td><td>10.6 e<sup>+</sup> e<sup>-</sup> → e<sup>+</sup> e<sup>-</sup> π<sup>0</sup> π<sup>0</sup></td></tr><tr><td colspan="5"><sup>1</sup>Taking into account $f_4(2050)$.</td></tr></tbody></table>

$f_2(1950)$ BRANCHING RATIOS

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

<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>ASTON</td><td>91</td><td>LASS</td><td>11 K<sup>-</sup> p → ΛK K&#773; ππ</td></tr></tbody></table>

$$ \Gamma(a_2(1320)\pi)/\Gamma_{\text{total}} \qquad \Gamma_7/\Gamma $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>not seen</td><td>BARBERIS</td><td>00B</td><td>450 pp → p<sub>f</sub>ηπ<sup>+</sup>π<sup>-</sup> p<sub>s</sub></td></tr><tr><td>not seen</td><td>BARBERIS</td><td>00C</td><td>450 pp → p<sub>f</sub>4π p<sub>s</sub></td></tr><tr><td>possibly seen</td><td>BARBERIS</td><td>97B</td><td>OMEG 450 pp → p<sub>f</sub>p<sub>2</sub>(π<sup>+</sup>π<sup>-</sup>)</td></tr></tbody></table>

$$ \Gamma(\eta\eta)/\Gamma(4\pi) \qquad \Gamma_8/\Gamma_5 $$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>&lt;5.0 × 10<sup>-3</sup></td><td>90</td><td>BARBERIS</td><td>00E</td><td>450 pp → p<sub>f</sub>ηη p<sub>s</sub></td></tr></tbody></table>

$$ \Gamma(\eta\eta)/\Gamma(\pi^+\pi^-) \qquad \Gamma_8/\Gamma_3 $$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.14±0.05</td><td>AMSLER</td><td>02</td><td>CBAR 0.9 p&#773; p → π<sup>0</sup>ηη, π<sup>0</sup>π<sup>0</sup>π<sup>0</sup></td></tr></tbody></table>

$$ \Gamma(p\bar{p})/\Gamma_{\text{total}} \qquad \Gamma_{11}/\Gamma $$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>111</td><td>ALEXANDER</td><td>10</td><td>CLEO ψ(25) → γp p&#773;</td></tr></tbody></table>

$f_2(1950)$ REFERENCES

<table><tbody><tr><td>RODAS</td><td>22</td><td>EPJ C82 80</td><td>A. Rodas et al.</td><td>(JPAC Collab.)</td></tr><tr><td>ALBRECHT</td><td>20</td><td>EPJ C80 453</td><td>M. Albrecht et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>ABLIMIK</td><td>18AA</td><td>PR D98 072003</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIMIK</td><td>15AE</td><td>PR D92 052003</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ALEXANDER</td><td>10</td><td>PR D82 092002</td><td>J.P. Alexander et al.</td><td>(CLEO Collab.)</td></tr><tr><td>UEHARA</td><td>09</td><td>PR D79 052009</td><td>S. Uehara et al.</td><td>(BELLE Collab.)</td></tr><tr><td>BINON</td><td>05</td><td>PAN 68 960<br>Translated from YAF 68 998</td><td>F. Binon et al.</td><td>(BELLE Collab.)</td></tr><tr><td>ABE</td><td>04</td><td>EPJ C32 323</td><td>K. Abe et al.</td><td>(BELLE Collab.)</td></tr><tr><td>AMSLER</td><td>02</td><td>EPJ C23 29</td><td>C. Amsler et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>ANISOVICH</td><td>00J</td><td>PL B491 47</td><td>A.V. Anisovich et al.</td><td>(RAL, LOQM, PNPI+)</td></tr><tr><td>BAI</td><td>00A</td><td>PL B472 207</td><td>J.Z. Bai et al.</td><td>(BES Collab.)</td></tr><tr><td>BARBERIS</td><td>00B</td><td>PL B471 435</td><td>D. Barberis et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>BARBERIS</td><td>00C</td><td>PL B471 440</td><td>D. Barberis et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>BARBERIS</td><td>00E</td><td>PL B479 59</td><td>D. Barberis et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>ANISOVICH</td><td>99B</td><td>PL B449 154</td><td>A.V. Anisovich et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>BARBERIS</td><td>97B</td><td>PL B413 217</td><td>D. Barberis et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>KLOET</td><td>96</td><td>PR D53 6120</td><td>W.M. Kloet, F. Myhrer</td><td>(RUTG, NORD)</td></tr><tr><td>ANTINORI</td><td>95</td><td>PL B353 589</td><td>F. Antinori et al.</td><td>(ATHU, BARI, BIRM+)</td></tr><tr><td>OAKDEN</td><td>94</td><td>NP A574 731</td><td>M.N. Oakden, M.R. Pennington</td><td>(DURH)</td></tr><tr><td>ASTON</td><td>91</td><td>NPBPS B21 5</td><td>D. Aston et al.</td><td>(LASS Collab.)</td></tr><tr><td>LONGACRE</td><td>86</td><td>PL B177 223</td><td>R.S. Longacre et al.</td><td>(BNL, BRAN, CUNY+)</td></tr><tr><td>BINON</td><td>83</td><td>NC 78A 313</td><td>F.G. Binon et al.</td><td>(BELG, LAPP, SERP+)</td></tr><tr><td>HYAMS</td><td>75</td><td>NP B100 205</td><td>B.D. Hyams et al.</td><td>(CERN, MPIM)</td></tr></tbody></table>

$a_4(1970)$

$$ \Gamma^G(J^PC) = 1-(4++) $$

$a_4(1970)$ 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>1967±16 OUR AVERAGE</strong></td></tr><tr><td>1935<sup>+11</sup><sub>-13</sub></td><td>46M</td><td>1 AGHASYAN</td><td>18B COMP</td><td>190 π<sup>-</sup> p → π<sup>-</sup>π<sup>+</sup>π<sup>-</sup> p</td><td></td></tr><tr><td>1900<sup>+80</sup><sub>-20</sub></td><td></td><td>ADOLPH</td><td>15 COMP</td><td>191 π<sup>-</sup> p → η(f) π<sup>-</sup> p</td><td></td></tr><tr><td>1985±10±13</td><td>145k</td><td>LU</td><td>05 B852</td><td>18 π<sup>-</sup> p → ωπ<sup>-</sup> π<sup>0</sup> p</td><td></td></tr><tr><td>1996±25±43</td><td></td><td>CHUNG</td><td>02 B852</td><td>18.3 π<sup>-</sup> p → 3π p</td><td></td></tr><tr><td>2000±40<sup>+60</sup><sub>-20</sub></td><td></td><td>IVANOV</td><td>01 B852</td><td>18 π<sup>-</sup> p → η<sup>l</sup> π<sup>-</sup> p</td><td></td></tr><tr><td>2010±20</td><td></td><td>2 ALDE</td><td>96 GAM2 0</td><td>38 π<sup>-</sup> p → ηπ<sup>0</sup> π<sup>0</sup></td><td></td></tr><tr><td>2040±30</td><td></td><td>3 CLELAND</td><td>82B SPEC ±</td><td>50 π p → K<sup>0</sup><sub>S</sub> K<sup>±</sup> p</td><td></td></tr></tbody></table>
# Meson Particle Listings

## a₄(1970), ρ₃(1990)

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

<table><tbody><tr><td>1885 ± 13 <sup>+50</sup><sub>-2</sub></td><td>420k</td><td>4 ALEKSEEV</td><td>10 COMP</td><td>190 π<sup>-</sup> Pb → π<sup>-</sup>π<sup>-</sup>π<sup>+</sup> Pb<sup>′</sup></td></tr><tr><td>2004 ± 6</td><td>80k</td><td>5 UMAN</td><td>06 E835</td><td>5.2 <span style="text-decoration: overline">p</span> p → ηηπ<sup>0</sup></td></tr><tr><td>2005 <sup>+25</sup><sub>-45</sub></td><td></td><td>6 ANISOVICH</td><td>01F SPEC</td><td>2.0 <span style="text-decoration: overline">p</span> p → 3π<sup>0</sup>, π<sup>0</sup>η<sub>′</sub>, π<sup>0</sup>η<sub>′</sub></td></tr><tr><td>1944 ± 8 <sup>+50</sup><sub>-50</sub></td><td></td><td>7 AMELIN</td><td>99 VES</td><td>37 π<sup>-</sup> A → ωπ<sup>-</sup> π<sup>0</sup> A<sup>*</sup></td></tr><tr><td>1903 ± 10</td><td></td><td>8 BALDI</td><td>78 SPEC</td><td>10 π<sup>-</sup> p → pK<sup>0</sup>S K<sup>-</sup></td></tr><tr><td>2030 ± 50</td><td></td><td>9 CORDEN</td><td>78c OMEG</td><td>15 π<sup>-</sup> p → 3πn</td></tr></tbody></table>

¹Statistical error negligible.

²From a simultaneous fit to the $G_+$ and $G_0$ wave intensities.

³From an amplitude analysis.

⁴Superseded by AGHASYAN 2018B.

⁵Statistical error only.

⁶From the combined analysis of ANISOVICH 99C, ANISOVICH 99E, and ANISOVICH 01F.

⁷May be a different state.

⁸From a fit to the $Y_8^0$ moment. Limited by phase space.

⁹$J^P = 4^+$ is favored, though $J^P = 2^+$ cannot be excluded.

WEIGHTED AVERAGE
1967±16 (Error scaled by 2.1)

<figure><img src="image_500.png" /></figure>

## a₄(1970) 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>324 <sup>+15</sup><sub>-18</sub> OUR AVERAGE</strong></td></tr><tr><td>333 <sup>+16</sup><sub>-21</sub></td><td>46M</td><td>1 AGHASYAN</td><td>18B COMP</td><td>190 π<sup>-</sup> p → π<sup>-</sup>π<sup>+</sup> π<sup>+</sup> p</td><td></td></tr><tr><td>300 <sup>+80</sup><sub>-100</sub></td><td></td><td>ADOLPH</td><td>15 COMP</td><td>191 π<sup>-</sup> p → η<sup>(1)</sup> π<sup>-</sup> p</td><td></td></tr><tr><td>231 ± 30 ± 46</td><td>145k</td><td>LU</td><td>05 B852</td><td>18 π<sup>-</sup> p → ωπ<sup>-</sup> π<sup>0</sup> p</td><td></td></tr><tr><td>298 ± 81 ± 85</td><td></td><td>CHUNG</td><td>02 B852</td><td>18.3 π<sup>-</sup> p → 3πρ</td><td></td></tr><tr><td>350 ± 100 <sup>+70</sup><sub>-50</sub></td><td></td><td>IVANOV</td><td>01 B852</td><td>18 π<sup>-</sup> p → η<sup>′</sup> π<sup>-</sup> p</td><td></td></tr><tr><td>370 ± 80</td><td></td><td>2 ALDE</td><td>96 GAM2 0</td><td>38 π<sup>-</sup> p → ηπ<sup>0</sup> n</td><td></td></tr><tr><td>380 ± 150</td><td></td><td>3 CLELAND</td><td>82B SPEC ±</td><td>50 π<sup>-</sup> p → K<sup>0</sup>S K<sup>±</sup> p</td><td></td></tr></tbody></table>

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

<table><tbody><tr><td>294 ± 25 <sup>+46</sup><sub>-19</sub></td><td>420k</td><td>4 ALEKSEEV</td><td>10 COMP</td><td>190 π<sup>-</sup> Pb → π<sup>-</sup>π<sup>-</sup> π<sup>+</sup> Pb<sup>′</sup></td></tr><tr><td>401 ± 16</td><td>80k</td><td>5 UMAN</td><td>06 E835</td><td>5.2 <span style="text-decoration: overline">p</span> p → ηηπ<sup>0</sup></td></tr><tr><td>180 ± 30</td><td></td><td>6 ANISOVICH</td><td>01F SPEC</td><td>2.0 <span style="text-decoration: overline">p</span> p → 3π<sup>0</sup>, π<sup>0</sup>η<sub>′</sub>, π<sup>0</sup>η<sub>′</sub></td></tr><tr><td>324 ± 26 ± 75</td><td></td><td>7 AMELIN</td><td>99 VES</td><td>37 π<sup>-</sup> A → ωπ<sup>-</sup> π<sup>0</sup> A<sup>*</sup></td></tr><tr><td>166 ± 43</td><td></td><td>8 BALDI</td><td>78 SPEC</td><td>10 π<sup>-</sup> p → pK<sup>0</sup>S K<sup>-</sup></td></tr><tr><td>510 ± 200</td><td></td><td>9 CORDEN</td><td>78c OMEG</td><td>15 π<sup>-</sup> p → 3πn</td></tr></tbody></table>

¹Statistical error negligible.

²From a simultaneous fit to the $G_+$ and $G_0$ wave intensities.

³From an amplitude analysis.

⁴Superseded by AGHASYAN 2018B.

⁵Statistical error only.

⁶From the combined analysis of ANISOVICH 99C, ANISOVICH 99E, and ANISOVICH 01F.

⁷May be a different state.

⁸From a fit to the $Y_8^0$ moment. Limited by phase space.

⁹$J^P = 4^+$ is favored, though $J^P = 2^+$ cannot be excluded.

## a₄(1970) DECAY MODES

<table><thead><tr><th></th><th>Mode</th><th>Fraction (Γ<sub>j</sub>/Γ)</th></tr></thead><tbody><tr><td>Γ<sub>1</sub></td><td>K<span style="text-decoration: overline">K</span></td><td>seen</td></tr><tr><td>Γ<sub>2</sub></td><td>π<sup>+</sup> π<sup>-</sup> π<sup>0</sup></td><td>seen</td></tr><tr><td>Γ<sub>3</sub></td><td>ρπ</td><td>seen</td></tr></tbody></table>

<table><tbody><tr><td>Γ<sub>4</sub></td><td>f<sub>2</sub>(1270)π</td><td>seen</td></tr><tr><td>Γ<sub>5</sub></td><td>ωπ<sup>-</sup> π<sup>0</sup></td><td>seen</td></tr><tr><td>Γ<sub>6</sub></td><td>ωρ</td><td>seen</td></tr><tr><td>Γ<sub>7</sub></td><td>ηπ</td><td>seen</td></tr><tr><td>Γ<sub>8</sub></td><td>η<sup>(1)</sup>(958)π</td><td>seen</td></tr></tbody></table>

## a₄(1970) BRANCHING RATIOS

<table><thead><tr><th>Γ(K<span style="text-decoration: overline">K</span>)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>BALDI</td><td>78 SPEC</td><td>±</td><td>10 π<sup>-</sup> p → K<sup>0</sup>S K<sup>-</sup> p</td></tr></tbody></table>

<table><thead><tr><th>Γ(π<sup>+</sup> π<sup>-</sup> π<sup>0</sup>)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>CORDEN</td><td>78C OMEG</td><td>0</td><td>15 π<sup>-</sup> p → 3πn</td></tr></tbody></table>

<table><thead><tr><th>Γ(ρπ)/Γ(f<sub>2</sub>(1270)π)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td></td><td></td><td></td></tr></tbody></table>

1.7<sup>+0.9</sup><sub>-0.8</sub> OUR AVERAGE Error includes scale factor of 3.7.

<table><tbody><tr><td>2.9<sup>+0.6</sup><sub>-0.4</sub></td><td>46M</td><td>1 AGHASYAN</td><td>18B COMP</td><td>190 π<sup>-</sup> p → π<sup>-</sup>π<sup>+</sup> π<sup>-</sup> p</td></tr><tr><td>1.1 ± 0.2 ± 0.2</td><td></td><td>CHUNG</td><td>02 B852</td><td>18.3 π<sup>-</sup> p → 3πp</td></tr></tbody></table>

¹Statistical error negligible.

<table><thead><tr><th>Γ(ηπ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>CHG</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>ALDE</td><td>96 GAM2</td><td>0</td><td>38 π<sup>-</sup> p → ηπ<sup>0</sup> n</td></tr></tbody></table>

<table><thead><tr><th>Γ(η<sup>(1)</sup>)(958)π)/Γ(ηπ)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.23 ± 0.07</td><td>ADOLPH</td><td>15 COMP</td><td>191 π<sup>-</sup> p → η<sup>(1)</sup> π<sup>-</sup> p</td></tr></tbody></table>

<table><thead><tr><th>Γ(ωρ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>145k LU</td><td>05 B852</td><td>18 π<sup>-</sup> p → ωπ<sup>-</sup> π<sup>0</sup> p</td></tr></tbody></table>

## a₄(1970) REFERENCES

<table><tbody><tr><td>AGHASYAN</td><td>18B PR D98 092003</td><td>M. Aghasyan et al.</td><td>(COMPASS Collab.)</td></tr><tr><td>ADOLPH</td><td>15 PL B740 303</td><td>M. Adolph et al.</td><td>(COMPASS Collab.)</td></tr><tr><td>ALEKSEEV</td><td>10 PRL 104 241803</td><td>M.G. Alekseev et al.</td><td>(COMPASS Collab.)</td></tr><tr><td>UMAN</td><td>06 PR D73 052009</td><td>J. Uman et al.</td><td>(FNAL E835)</td></tr><tr><td>LU</td><td>05 PL 94 032002</td><td>M. Lu et al.</td><td>(BNL E852 Collab.)</td></tr><tr><td>CHUNG</td><td>02 PR D65 072001</td><td>S.U. Chung et al.</td><td>(BNL E852 Collab.)</td></tr><tr><td>ANISOVICH</td><td>01F PL B517 261</td><td>A.V. Anisovich et al.</td><td>(BNL E852 Collab.)</td></tr><tr><td>IVANOV</td><td>01 PRL 86 3977</td><td>E.I. Ivanov et al.</td><td>(VES Collab.)</td></tr><tr><td>AMELIN</td><td>99 PAN 62 445</td><td>D.V. Amelin et al.</td><td></td></tr><tr><td></td><td>Translated from YAF 62 487</td><td></td><td></td></tr><tr><td>ANISOVICH</td><td>99C PL B452 173</td><td>A.V. Anisovich et al.</td><td></td></tr><tr><td>ANISOVICH</td><td>99E PL B452 187</td><td>A.V. Anisovich et al.</td><td></td></tr><tr><td>ALDE</td><td>96 PAN 59 962</td><td>S.V. Donskov et al.</td><td></td></tr><tr><td></td><td>Translated from YAF 59 1027</td><td></td><td></td></tr><tr><td>CLELAND</td><td>82B NP B208 228</td><td>W.E. Cleland et al.</td><td>(GAMS Collab.) IGJPC</td></tr><tr><td>BALDI</td><td>78 PL 74B 413</td><td>R. Baldi et al.</td><td>(DURH, GEVA, LAUS+)</td></tr><tr><td>CORDEN</td><td>78C NP B136 77</td><td>M.J. Corden et al.</td><td>(GEVA) JP</td></tr><tr><td></td><td></td><td></td><td>(BIRM, RHEL, TÉLA+) JP</td></tr></tbody></table>

## ρ₃(1990)

$$ \rho_3(1990) = I^G(J^PC) = 1^{+}(3^{-}) $$

OMITTED FROM SUMMARY TABLE

## ρ₃(1990) MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1982 ± 14</td><td>1 ANISOVICH</td><td>02 SPEC</td><td>0.6-1.9 p<span style="text-decoration: overline">p</span> → ωπ<sup>0</sup>, ωηπ<sup>0</sup>, π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>~ 2007</td><td>HASAN</td><td>94 RVUE</td><td><span style="text-decoration: overline">p</span> p → ππ</td></tr></tbody></table>

¹From the combined analysis of ANISOVICH 00J, ANISOVICH 01D, ANISOVICH 01E, and ANISOVICH 02.

## ρ₃(1990) WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>188 ± 24</td><td>2 ANISOVICH</td><td>02 SPEC</td><td>0.6-1.9 p<span style="text-decoration: overline">p</span> → ωπ<sup>0</sup>, ωηπ<sup>0</sup>, π<sup>+</sup>π<sup>-</sup></td></tr><tr><td>~ 287</td><td>HASAN</td><td>94 RVUE</td><td><span style="text-decoration: overline">p</span> p → ππ</td></tr></tbody></table>

²From the combined analysis of ANISOVICH 00J, ANISOVICH 01D, ANISOVICH 01E, and ANISOVICH 02.

## ρ₃(1990) REFERENCES

<table><tbody><tr><td>ANISOVICH</td><td>02 PL B542 8</td><td>A.V. Anisovich et al.</td><td></td></tr><tr><td>ANISOVICH</td><td>01D PL B508 6</td><td>A.V. Anisovich et al.</td><td></td></tr><tr><td>ANISOVICH</td><td>01E PL B513 281</td><td>A.V. Anisovich et al.</td><td></td></tr><tr><td>ANISOVICH</td><td>00J PL B491 47</td><td>A.V. Anisovich et al.</td><td>(RAL, LOQM, PNPI+)</td></tr><tr><td>HASAN</td><td>94 PL B334 215</td><td>A. Hasan, D.V. Bugg</td><td>(LOQM)</td></tr></tbody></table>
$\pi_2(2005)$

$I^G(JPC) = 1^{-}(2^{-}+)$

OMITTED FROM SUMMARY TABLE

### $\pi_2(2005)$ MASS

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

### $1963_{-27}^{+17}$ OUR AVERAGE

<table><tr><td>1962<sup>+17</sup><sub>-29</sub></td><td>46M</td><td>1 AGHASYAN</td><td>18B</td><td>COMP 190 π<sup>-</sup> p → π<sup>-</sup>π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>1974±14±83</td><td>145k</td><td>LU</td><td>05</td><td>B852 18 π<sup>-</sup> p → ωπ<sup>-</sup>π<sup>0</sup> p</td></tr></table>

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

<table><tr><td>2005±15</td><td>ANISOVICH</td><td>01F</td><td>SPEC 2.0 p̄p → 3π<sup>0</sup>, π<sup>0</sup>η, π<sup>0</sup>η'</td></tr><tr><td colspan="4">¹Statistical uncertainty negligible.</td></tr></table>

### $\pi_2(2005)$ WIDTH

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

### $370_{-90}^{+16}$ OUR AVERAGE

<table><tr><td>371<sup>+16</sup><sub>-120</sub></td><td>46M</td><td>1 AGHASYAN</td><td>18B</td><td>COMP 190 π<sup>-</sup> p → π<sup>-</sup>π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>341±61±139</td><td>145k</td><td>LU</td><td>05</td><td>B852 18 π<sup>-</sup> p → ωπ<sup>-</sup>π<sup>0</sup> p</td></tr></table>

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

<table><tr><td>200±40</td><td>ANISOVICH</td><td>01F</td><td>SPEC 2.0 p̄p → 3π<sup>0</sup>, π<sup>0</sup>η, π<sup>0</sup>η'</td></tr><tr><td colspan="4">¹Statistical uncertainty negligible.</td></tr></table>

### $\pi_2(2005)$ 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> π<sup>-</sup> π<sup>+</sup> π<sup>-</sup></td><td>seen</td></tr><tr><td>Γ<sub>2</sub> ωπ<sup>0</sup> π<sup>-</sup></td><td>seen</td></tr></tbody></table>

### $\pi_2(2005)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(π<sup>-</sup>π<sup>+</sup>π<sup>-</sup>)/Γ<sub>total</sub></th><th>Γ<sub>1</sub>/Γ</th></tr></thead><tbody><tr><td>VALUE</td><td>AGHASYAN 18B COMP 190 π<sup>-</sup> p → π<sup>-</sup>π<sup>+</sup>π<sup>-</sup> p</td></tr><tr><td>seen</td><td></td></tr></tbody></table>

<table><thead><tr><th>Γ(ωπ<sup>0</sup>π<sup>-</sup>)/Γ<sub>total</sub></th><th>Γ<sub>2</sub>/Γ</th></tr></thead><tbody><tr><td>VALUE</td><td>LU 05 B852 18 π<sup>-</sup> p → ωπ<sup>-</sup>π<sup>0</sup> p</td></tr><tr><td>seen</td><td></td></tr></tbody></table>

### $\pi_2(2005)$ REFERENCES

AGHASYAN 18B PR D98 092003

M. Aghasyan et al.

(COMPASS Collab.)

LU 05 PRL 94 032002

M. Lu et al.

(BNL E852 Collab.)

ANISOVICH 01F PL B517 261

A.V. Anisovich et al.

$f_2(2010)$

$I^G(JPC) = 0^{+}(2^{++})$

### $f_2(2010)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2011<sup>+62</sup><sub>-76</sub></td><td>1 ETKIN</td><td>88</td><td>MPS 22 π<sup>-</sup> p → φφn</td></tr></tbody></table>

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

<table><tr><td>2062±6<sup>+10</sup><sub>-7</sub></td><td>2 ABLIKIM</td><td>22AS BES3</td><td>J/ψ(1S) → γηη'</td></tr><tr><td>2005±12</td><td>VLADIMIRSK...06</td><td>SPEC</td><td>40 π<sup>-</sup> p → K<sup>0</sup> K<sup>0</sup> n</td></tr><tr><td>1980±20</td><td>3 BOLONKIN</td><td>88</td><td>SPEC 40 π<sup>-</sup> p → K<sup>0</sup> K<sup>0</sup> S n</td></tr><tr><td>2050<sup>+90</sup><sub>-50</sub></td><td>ETKIN</td><td>85</td><td>MPS 22 π<sup>-</sup> p → 2φn</td></tr><tr><td>2120<sup>+20</sup><sub>-120</sub></td><td>LINDENBAUM 84</td><td>RVUE</td><td></td></tr><tr><td>2160±50</td><td>ETKIN</td><td>82</td><td>MPS 22 π<sup>-</sup> p → 2φn</td></tr></table>

### $f_2(2010)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>202<sup>+67</sup><sub>-62</sub></td><td>4 ETKIN</td><td>88</td><td>MPS 22 π<sup>-</sup> p → φφn</td></tr></tbody></table>

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

<table><tr><td>165±17<sup>+10</sup><sub>-5</sub></td><td>5 ABLIKIM</td><td>22AS BES3</td><td>J/ψ(1S) → γηη'</td></tr><tr><td>209±32</td><td>VLADIMIRSK...06</td><td>SPEC</td><td>40 π<sup>-</sup> p → K<sup>0</sup> K<sup>0</sup> n</td></tr><tr><td>145±50</td><td>6 BOLONKIN</td><td>88</td><td>SPEC 40 π<sup>-</sup> p → K<sup>0</sup> K<sup>0</sup> S n</td></tr><tr><td>200<sup>+160</sup><sub>-50</sub></td><td>ETKIN</td><td>85</td><td>MPS 22 π<sup>-</sup> p → 2φn</td></tr><tr><td>300<sup>+150</sup><sub>-50</sub></td><td>LINDENBAUM 84</td><td>RVUE</td><td></td></tr><tr><td>310±70</td><td>ETKIN</td><td>82</td><td>MPS 22 π<sup>-</sup> p → 2φn</td></tr></table>

### $f_2(2010)$ 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> φφ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> K̄K̄</td><td>seen</td></tr></tbody></table>

### $f_2(2010)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(K̄K̄)/Γ<sub>total</sub></th><th>Γ<sub>2</sub>/Γ</th></tr></thead><tbody><tr><td>VALUE</td><td>VLADIMIRSK...06 SPEC 40 π<sup>-</sup> p → K<sup>0</sup> K<sup>0</sup> n</td></tr><tr><td>seen</td><td></td></tr></tbody></table>

### $f_2(2010)$ REFERENCES

<table><tr><td>ABLIKIM</td><td>22AS PR D106 072012</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>Also</td><td>PR D107 079901 (errat.)</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>VLADIMIRSK...06</td><td>PAN 69 493</td><td>V.V. Vladimirsky et al.</td><td>(ITEP, Moscow)</td></tr><tr><td>BOLONKIN</td><td>NP B309 426</td><td>B.V. Bolonkin et al.</td><td>(ITEP, SERP)</td></tr><tr><td>ETKIN</td><td>PL B201 568</td><td>A. Etkin et al.</td><td>(BNL, CUNY)</td></tr><tr><td>ETKIN</td><td>PL 165B 217</td><td>A. Etkin et al.</td><td>(BNL, CUNY)</td></tr><tr><td>LINDENBAUM</td><td>CNPN 13 285</td><td>S.J. Lindenbaum</td><td>(CUNY)</td></tr><tr><td>ETKIN</td><td>PRL 49 1620</td><td>A. Etkin et al.</td><td>(BNL, CUNY)</td></tr><tr><td>Also</td><td>Brighton Conf. 351</td><td>S.J. Lindenbaum</td><td>(BNL, CUNY)</td></tr></table>

$f_0(2020)$

$I^G(JPC) = 0^{+}(0^{++})$

Needs confirmation.

### $f_0(2020)$ T-MATRIX POLE $\sqrt{s}$

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

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="4">(1870-2080) - i (120-240) OUR ESTIMATE</td></tr><tr><td>(2038±48) - i (156±41)</td><td>1 RODAS</td><td>22</td><td>RVUE J/ψ(1S) → γ (ππ, K̄K̄)</td></tr><tr><td>(1925±25) - i (160±18)</td><td>SARANTSEV</td><td>21</td><td>RVUE J/ψ(1S) → γ (ππ, K̄K̄)</td></tr><tr><td>(1910±50) - i (199±40)</td><td>2 ROPERTZ</td><td>18</td><td>RVUE B<sup>0</sup><sub>S</sub> → J/ψ(π<sup>+</sup>π<sup>-</sup>/K<sup>+</sup>K<sup>-</sup>)</td></tr><tr><td>(1992±16) - i (221±30)</td><td>3 BARBERIS</td><td>00C</td><td>450 pp → pF 4πp<sub>S</sub></td></tr><tr><td>(2020±35) - i (205±25)</td><td>BARBERIS</td><td>97B</td><td>OMEG 450 pp → pp2(π<sup>+</sup>π<sup>-</sup>)</td></tr></tbody></table>

### $f_0(2020)$ 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>1962<sup>+354</sup><sub>-0</sub></td><td>1 ABLIKIM</td><td>22c</td><td>BES3</td><td>J/ψ → γηη'η' → 4/5γ2(π<sup>+</sup>π<sup>-</sup>)</td></tr></tbody></table>

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

<table><tr><td>2010±6<sup>+6</sup><sub>-4</sub></td><td>2 ABLIKIM</td><td>22AS BES3</td><td>J/ψ(1S) → γηη'</td></tr><tr><td>2037±8</td><td>80k</td><td>06</td><td>E835 5.2 p̄p → ηηη<sup>0</sup></td></tr><tr><td>2040±38</td><td>ANISOVICH</td><td>00J</td><td>SPEC</td></tr><tr><td>2010±60</td><td>ALDE</td><td>98</td><td>GAM4 100 π<sup>-</sup> p → π<sup>0</sup>π<sup>0</sup> n</td></tr></table>

### $f_0(2020)$ 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>436±4<sup>+46</sup><sub>-49</sub></td><td>1 ABLIKIM</td><td>22c</td><td>BES3</td><td>J/ψ → γηη'η' → 4/5γ2(π<sup>+</sup>π<sup>-</sup>)</td></tr></tbody></table>

<footnote n="1">¹Includes data of ETKIN 85. The percentage of the resonance going into φφ 2++ S<sub>2</sub>, D<sub>2</sub>, and D<sub>0</sub> is 98<sup>+1</sup><sub>-3</sub>, 0<sup>+1</sup><sub>-0</sub>, and 2<sup>+2</sup><sub>-1</sub>, respectively.</footnote>

<footnote n="2">²From a Breit-Wigner fit involving 9 resonances and a resonating exotic η<sub>1</sub>(1855) → ηη'</n P-wave.</footnote>

<footnote n="3">³Statistically very weak, only 1.4 s.d.</footnote>

<footnote n="4">⁴Includes data of ETKIN 85.</footnote>

<footnote n="5">⁵From a Breit-Wigner fit involving 9 resonances and a resonating exotic η<sub>1</sub>(1855) → ηη'</n P-wave.</footnote>

<footnote n="6">⁶Statistically very weak, only 1.4 s.d.</footnote>

<footnote n="1">¹T-matrix pole from coupled channel K-matrix fit to data on J/ψ → γπ<sup>0</sup>π<sup>0</sup> (ABLIKIM 15AE) and J/ψ → γK<sup>0</sup> K<sup>0</sup> (ABLIKIM 18AA).</footnote>

<footnote n="2">²T-matrix pole of 3 channel unitary model fit to data from AAIJ 14BR and AAIJ 17V extracted using Pade approximants.</footnote>

<footnote n="3">³Average between π<sup>+</sup>π<sup>-</sup>2π<sup>0</sup> and 2(π<sup>+</sup>π<sup>-</sup>).</footnote>

<footnote n="1">¹From a partial wave analysis of the systems (γX), with X → ηη'η', and (η'X), with X → γη'η' in the decay J/ψ → γη'η'. The intermediate resonance X is parametrized by a constant-width, relativistic Breit-Wigner.</footnote>

<footnote n="2">²From a Breit-Wigner fit involving 9 resonances and a resonating exotic η<sub>1</sub>(1855) → ηη'</n P-wave.</footnote>

<footnote n="3">³Statistically error only.</footnote>
# Meson Particle Listings

$f_0(2020)$, $f_4(2050)$

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

<table><tr><td>203 ± 9<sup>+13</sup><sub>-11</sub></td><td>2 ABLIKIM</td><td>22AS</td><td>BES3</td><td>J/ψ(1S) → γηη'</td></tr><tr><td>296 ± 17</td><td>80k</td><td>3 UMAN</td><td>06</td><td>E835 5.2 p̄p → ηηπ°</td></tr><tr><td>405 ± 40</td><td></td><td>ANISOVICH</td><td>00J</td><td>SPEC</td></tr><tr><td>240 ± 100</td><td></td><td>ALDE</td><td>98</td><td>GAM4 100 π⁻p → π°0 π°n</td></tr></table>

¹ From a partial wave analysis of the systems (γX), with X → η'η', and (η'X), with X → γη' in the decay J/ψ → γη'η'. The intermediate resonance X is parametrized by a constant-width, relativistic Breit-Wigner.

² From a Breit-Wigner fit involving 9 resonances and a resonating exotic η₁(1855) → ηη' P-wave.

³ Statistical error only.

## $f_6(2020)$ 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> ρππ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> π°π°</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> ρρ</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> ωω</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> ηη</td><td>seen</td></tr><tr><td>Γ<sub>6</sub> η'η'</td><td>seen</td></tr></tbody></table>

## $f_6(2020)$ BRANCHING RATIOS

<table><tr><td>Γ(ρρ)/Γ(ωω)</td><td>DOCUMENT ID</td><td>COMMENT</td></tr><tr><td>Γ<sub>3</sub>/Γ<sub>4</sub></td><td></td><td></td></tr></table>

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

~ 3 BARBERIS 00F 450 p̄p → p_f ωω p_s

<table><tr><td>Γ(ηη)/Γ<sub>total</sub></td><td>DOCUMENT ID</td><td>COMMENT</td></tr><tr><td>Γ<sub>5</sub>/Γ</td><td></td><td></td></tr></table>

<table><tr><td>Γ(η'η')/Γ<sub>total</sub></td><td>DOCUMENT ID</td><td>COMMENT</td></tr><tr><td>Γ<sub>6</sub>/Γ</td><td></td><td></td></tr></table>

¹ From a partial wave analysis of the systems (γX), with X → η'η', and (η'X), with X → γη' in the decay J/ψ → γη'η'. The intermediate resonance X is parametrized by a constant-width, relativistic Breit-Wigner.

## $f_6(2020)$ REFERENCES

<table><tr><td>ABLIKIM</td><td>22AS PR D106 072012</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>Also</td><td>PR D107 079901 (errat.)</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>22C PR D105 072002</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>RODAS</td><td>22 EPJ C82 80</td><td>A. Rodas et al.</td><td>(JPAC Collab.)</td></tr><tr><td>SARANTSEV</td><td>21 PL B816 136227</td><td>A.V. Sarantsev et al.</td><td>(BONN, PNPb.)</td></tr><tr><td>ABLIKIM</td><td>18AA PR D98 072003</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>ROPERTZ</td><td>18 EPJ C78 1000</td><td>S. Ropertz, C. Hanhart, B. Kubis</td><td>(BONN, JULI.)</td></tr><tr><td>AAJ</td><td>17V JHEP 1708 037</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>ABLIKIM</td><td>15AE PR D92 052003</td><td>M. Ablikim et al.</td><td>(BESIII Collab.)</td></tr><tr><td>AAJ</td><td>14BR PR D89 092006</td><td>R. Aaij et al.</td><td>(LHCb Collab.)</td></tr><tr><td>UMAN</td><td>06 PR D73 052009</td><td>I. Uman et al.</td><td>(FNAL E835)</td></tr><tr><td>ANISOVICH</td><td>00J PL B491 47</td><td>A.V. Anisovich et al.</td><td>(RAL, LOQM, PNPb+)</td></tr><tr><td>BARBERIS</td><td>00C PL B471 440</td><td>D. Barberis et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>BARBERIS</td><td>00F PL B484 198</td><td>D. Barberis et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>ALDE</td><td>98 EPJ A3 361</td><td>D. Alde et al.</td><td>(GAM4 Collab.)</td></tr><tr><td>Also</td><td>PAN 62 405</td><td>D. Alde et al.</td><td>(GAM5 Collab.)</td></tr><tr><td>BARBERIS</td><td>97B PL B413 217</td><td>D. Barberis et al.</td><td>(WA 102 Collab.)</td></tr></table>

## $f_4(2050)$

$$I^G(J^{PC}) = 0^+(4^+ +^-)$$

## $f_4(2050)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>2018±11 OUR AVERAGE</strong></td></tr><tr><td>1960±15</td><td></td><td>AMELIN</td><td>06</td><td>VES 36 π⁻p → ωωn</td></tr><tr><td>2005±10</td><td></td><td>1 BINON</td><td>05</td><td>GAMS 33 π⁻p → ηηn</td></tr><tr><td>1998±15</td><td></td><td>ALDE</td><td>98</td><td>GAM4 100 π⁻p → π°0 π°n</td></tr><tr><td>2060±20</td><td></td><td>ALDE</td><td>90</td><td>GAM2 38 π⁻p → ωωn</td></tr><tr><td>2038±30</td><td></td><td>AUGUSTIN</td><td>87</td><td>DM2 J/ψ → γπ⁺π⁻</td></tr><tr><td>2086±15</td><td></td><td>BALTRUSAIT..</td><td>87</td><td>MRK3 J/ψ → γπ⁺π⁻</td></tr><tr><td>2000±60</td><td></td><td>ALDE</td><td>86D</td><td>GAM4 100 π⁻p → n2η</td></tr><tr><td>2020±20</td><td>40k</td><td>2 BINON</td><td>84B</td><td>GAM2 38 π⁻p → n2π°</td></tr><tr><td>2015±28</td><td></td><td>3 CASON</td><td>82</td><td>STRC 8 π⁺p → Δ⁺⁺π°π°</td></tr><tr><td>2031±25</td><td></td><td>ETKIN</td><td>82B</td><td>MPS 23 π⁻p → n2K°S</td></tr><tr><td>2020±30</td><td>700</td><td>APEL</td><td>75</td><td>NICE 40 π⁻p → n2π°</td></tr><tr><td>2050±25</td><td></td><td>BLUM</td><td>75</td><td>ASPK 18.4 π⁻p → nK⁺K⁻</td></tr></tbody></table>

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

<table><tr><td>1966±25</td><td>4 ANISOVICH</td><td>09</td><td>RVUE</td><td>0.0 p̄p, πN</td></tr><tr><td>1885±14+218</td><td>5 UEHARA</td><td>09</td><td>BELL</td><td>10.6 e⁺e⁻ → e⁺e⁻π°π°</td></tr><tr><td>2018±6</td><td>ANISOVICH</td><td>00J</td><td>SPEC</td><td>2.0 p̄p → ηπ°0 π°, π°0 π°, ηη' η'η', ππ</td></tr><tr><td>~ 2000</td><td></td><td></td><td></td><td>ηη' η'η', ππ</td></tr><tr><td>~ 2010</td><td>6 MARTIN</td><td>98</td><td>RVUE</td><td>NN → ππ</td></tr><tr><td>~ 2040</td><td>7 MARTIN</td><td>97</td><td>RVUE</td><td>NN → ππ</td></tr><tr><td>~ 1990</td><td>8 OAKDEN</td><td>94</td><td>RVUE</td><td>0.36-1.55 p̄p → ππ</td></tr><tr><td>1978±5</td><td>9 OAKDEN</td><td>94</td><td>RVUE</td><td>0.36-1.55 p̄p → ππ</td></tr><tr><td>2040±10</td><td>10 ALPER</td><td>80</td><td>CNTR</td><td>62 π⁻p → K⁺K⁻n</td></tr><tr><td>1935±13</td><td>10 ROZANSKA</td><td>80</td><td>SPRK</td><td>18 π⁻p → p̄p̄n</td></tr><tr><td>1988±7</td><td>10 CORDEN</td><td>79</td><td>OMEG</td><td>12-15 π⁻p → n2π</td></tr><tr><td>1922±14</td><td>EVANGELIS...</td><td>79B</td><td>OMEG</td><td>10 π⁻p → K⁺K⁻n</td></tr><tr><td></td><td>11 ANTIPOV</td><td>77</td><td>CIBS</td><td>25 π⁻p → p3π</td></tr></table>

¹ From the first PWA solution.

² From a partial-wave analysis of the data.

³ From an amplitude analysis of the reaction π⁺π⁻ → 2π°.

⁴ K matrix pole.

⁵ Taking into account the $f_2(1950)$. Helicity-2 production favored.

⁶ Energy-dependent analysis.

⁷ Single energy analysis.

⁸ From solution A of amplitude analysis of data on p̄p → ππ. See however KLOET 96 who fit π⁺π⁻ only and find waves only up to $J = 3$ to be important but not significantly resonant.

⁹ From solution B of amplitude analysis of data on p̄p → ππ. See however KLOET 96 who fit π⁺π⁻ only and find waves only up to $J = 3$ to be important but not significantly resonant.

¹⁰ $I(J^P) = 0(4^+)$ from amplitude analysis assuming one-pion exchange.

¹¹ Width errors enlarged by us to $4\sqrt{N}$; see the note with the $K^*(892)$ mass.

WEIGHTED AVERAGE
2018±11 (Error scaled by 2.1)

<figure><img src="image_501.png" /></figure>

(Confidence Level < 0.0001)

## $f_4(2050)$ mass (MeV)

## $f_4(2050)$ 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 colspan="5"><strong>237± 18 OUR AVERAGE</strong></td></tr><tr><td>290± 20</td><td></td><td>AMELIN</td><td>06</td><td>VES 36 π⁻p → ωωn</td></tr><tr><td>340± 80</td><td></td><td>12 BINON</td><td>05</td><td>GAMS 33 π⁻p → ηηn</td></tr><tr><td>395± 40</td><td></td><td>ALDE</td><td>98</td><td>GAM4 100 π⁻p → π°0 π°n</td></tr><tr><td>170± 60</td><td></td><td>ALDE</td><td>90</td><td>GAM2 38 π⁻p → ωωn</td></tr><tr><td>304± 60</td><td></td><td>AUGUSTIN</td><td>87</td><td>DM2 J/ψ → γπ⁺π⁻</td></tr><tr><td>210± 63</td><td></td><td>BALTRUSAIT..</td><td>87</td><td>MRK3 J/ψ → γπ⁺π⁻</td></tr><tr><td>400±100</td><td></td><td>ALDE</td><td>86D</td><td>GAM4 100 π⁻p → n2η</td></tr><tr><td>240± 40</td><td>40k</td><td>13 BINON</td><td>84B</td><td>GAM2 38 π⁻p → n2π°</td></tr><tr><td>190± 14</td><td></td><td>DENNEY</td><td>83</td><td>LASS 10 π⁺n/π⁺p</td></tr><tr><td>186±103</td><td></td><td></td><td></td><td></td></tr><tr><td>58</td><td></td><td></td><td></td><td></td></tr><tr><td>305± 36</td><td></td><td>ETKIN</td><td>82B</td><td>MPS 23 π⁻p → n2K°S</td></tr><tr><td>119</td><td></td><td>APEL</td><td>75</td><td>NICE 40 π⁻p → n2π°</td></tr><tr><td>180± 60</td><td>700</td><td>BLUM</td><td>75</td><td>ASPK 18.4 π⁻p → nK⁺K⁻</td></tr><tr><td>225±120</td><td></td><td></td><td></td><td></td></tr><tr><td>70</td><td></td><td></td><td></td><td></td></tr></tbody></table>

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

<table><tr><td>260± 40</td><td>15 ANISOVICH</td><td>09</td><td>RVUE</td><td>0.0 p̄p, πN</td></tr><tr><td>453± 20<sup>+31</sup><sub>-129</sub></td><td>16 UEHARA</td><td>09</td><td>BELL</td><td>10.6 e⁺e⁻ → e⁺e⁻π°π°</td></tr><tr><td>182± 7</td><td>ANISOVICH</td><td>00J</td><td>SPEC</td><td>2.0 p̄p → ηπ°0 π°, π°0 π°, ηη' η'η', ππ</td></tr><tr><td>~ 170</td><td></td><td></td><td></td><td>ηη' η'η', ππ</td></tr><tr><td>~ 200</td><td>17 MARTIN</td><td>98</td><td>RVUE</td><td>NN → ππ</td></tr><tr><td>~ 60</td><td>18 MARTIN</td><td>97</td><td>RVUE</td><td>NN → ππ</td></tr><tr><td></td><td>19 OAKDEN</td><td>94</td><td>RVUE</td><td>0.36-1.55 p̄p → ππ</td></tr></table>
<table><tbody><tr><td>~ 80</td><td>20 OAKDEN</td><td>94</td><td>RVUE</td><td>0.36-1.55</td><td>p̄p → ππ</td></tr><tr><td>243 ± 16</td><td>21 ALPER</td><td>80</td><td>CNTR</td><td>62 π<sup>-</sup> p → K<sup>+</sup>K<sup>-</sup> n</td><td></td></tr><tr><td>140 ± 15</td><td>21 ROZANSKA</td><td>80</td><td>SPRK</td><td>18 π<sup>-</sup> p → pπ̄n</td><td></td></tr><tr><td>263 ± 57</td><td>21 CORDEN</td><td>79</td><td>OMEG</td><td>12-15 π<sup>-</sup> p → n2π</td><td></td></tr><tr><td>100 ± 28</td><td>EVANGELIS...</td><td>79B</td><td>OMEG</td><td>10 π<sup>-</sup> p → K<sup>+</sup>K<sup>-</sup> n</td><td></td></tr><tr><td>107 ± 56</td><td>22 ANTIPOV</td><td>77</td><td>CIBS</td><td>25 π<sup>-</sup> p → p3π</td><td></td></tr></tbody></table>

12 From the first PWA solution.

13 From a partial-wave analysis of the data.

14 From an amplitude analysis of the reaction $π^+π^− → 2π^0$.

15 K matrix pole.

16 Taking into account the $f_2(1950)$. Helicity-2 production favored.

17 Energy-dependent analysis.

18 Single energy analysis.

19 From solution A of amplitude analysis of data on p̄p → ππ. See however KLOET 96 who fit $π^+π^−$ only and find waves only up to $J = 3$ to be important but not significantly resonant.

20 From solution B of amplitude analysis of data on p̄p → ππ. See however KLOET 96 who fit $π^+π^−$ only and find waves only up to $J = 3$ to be important but not significantly resonant.

21 $I(J^P) = 0(4^+)$ from amplitude analysis assuming one-pion exchange.

22 Width errors enlarged by us to $4Γ/√N$; see the note with the $K^*(892)$ mass.

WEIGHTED AVERAGE
237±18 (Error scaled by 1.9)

<figure><img src="image_502.png" /></figure>

## $f_4(2050)$ 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> ωω</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> ππ</td><td>(17.0 ± 1.5) %</td></tr><tr><td>Γ<sub>3</sub> K<span style="text-decoration: overline">K</span></td><td>(6.8 ± 3.4, 1.8) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>4</sub> ηη</td><td>(2.1 ± 0.8) × 10<sup>-3</sup></td></tr><tr><td>Γ<sub>5</sub> 4π<sup>0</sup></td><td>&lt; 1.2 %</td></tr><tr><td>Γ<sub>6</sub> γγ</td><td>seen</td></tr><tr><td>Γ<sub>7</sub> ∂<sub>2</sub>(1320) π</td><td>seen</td></tr></tbody></table>

### $f_4(2050)$ $Γ(i)Γ(γγ)/Γ(total)$

<table><thead><tr><th>Γ(K<span style="text-decoration: overline">K</span>) × Γ(γγ)/Γ<sub>total</sub></th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td><td></td></tr><tr><td>&lt;0.29</td><td>95</td><td>ALTHOFF</td><td>85B</td><td>TASS γγ → K<span style="text-decoration: overline">K</span>π</td></tr></tbody></table>

<table><thead><tr><th>Γ(ππ) × Γ(γγ)/Γ<sub>total</sub></th><th>CL%</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>• • • We do not use the following data for averages, fits, limits, etc. • • •</td><td></td><td></td><td></td><td></td><td></td></tr></tbody></table>

<table><tbody><tr><td>23.1<sup>+3.6</sup><sub>-3.3</sub> 70.5</td><td>23 UEHARA</td><td>09</td><td>BELL</td><td>10.6 e<sup>+</sup>e<sup>-</sup> →</td></tr><tr><td>&lt;1100</td><td>95</td><td>13 ± 4</td><td>OEST</td><td>e<sup>+</sup>e<sup>-</sup> → e<sup>+</sup>e<sup>-</sup> →</td></tr></tbody></table>

23 Taking into account the $f_2(1950)$. Helicity-2 production favored.

### $f_4(2050)$ BRANCHING RATIOS

<table><thead><tr><th>Γ(ωω)/Γ<sub>total</sub></th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td></td><td>AMELIN</td><td>06</td><td>VES 36 π<sup>-</sup> p → ωωn</td></tr></tbody></table>

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

<table><tbody><tr><td>not seen</td><td>BARBERIS</td><td>00F</td><td>450 pp → p<sub>f</sub>ωωp<sub>5</sub></td></tr></tbody></table>

<table><thead><tr><th>Γ(ωω)/Γ(ππ)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.5 ± 0.3</td><td>ALDE</td><td>90</td><td>GAM2 38 π<sup>-</sup> p → ωωn</td></tr></tbody></table>

<table><thead><tr><th>Γ(ππ)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.170 ± 0.015 OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>0.18 ± 0.03</td><td>24 BINON</td><td>83C</td><td>GAM2 38 π<sup>-</sup> p → n4γ</td></tr><tr><td>0.16 ± 0.03</td><td>24 CASON</td><td>82</td><td>STRC 8 π<sup>+</sup> p → Δ<sup>++</sup>π<sup>0</sup>π<sup>0</sup></td></tr><tr><td>0.17 ± 0.02</td><td>24 CORDEN</td><td>79</td><td>OMEG 12-15 π<sup>-</sup> p → n2π</td></tr></tbody></table>

24 Assuming one pion exchange.

<table><thead><tr><th>Γ(K<span style="text-decoration: overline">K</span>)/Γ(ππ)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.04 + 0.02 / 0.01</td><td>ETKIN</td><td>82B</td><td>MPS 23 π<sup>-</sup> p → n2K<sup>0</sup><sub>S</sub></td></tr></tbody></table>

<table><thead><tr><th>Γ(ηη)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2.1 ± 0.8</td><td>ALDE</td><td>86D</td><td>GAM4 100 π<sup>-</sup> p → n4γ</td></tr></tbody></table>

<table><thead><tr><th>Γ(4π<sup>0</sup>)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>&lt;0.012</td><td>ALDE</td><td>87</td><td>GAM4 100 π<sup>-</sup> p → 4π<sup>0</sup>n</td></tr></tbody></table>

<table><thead><tr><th>Γ(∂<sub>2</sub>(1320)π)/Γ<sub>total</sub></th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>AMELIN</td><td>00</td><td>VES 37 π<sup>-</sup> p → ηπ<sup>+</sup>π<sup>-</sup> n</td></tr></tbody></table>

## $f_4(2050)$ REFERENCES

ANISOVICH 09 JUMP A24 2481 V.V. Anisovich, A.V. Sarantsev (PNPI)

UEHARA 09 PR D79 052009 BELLE Collab.

AMELIN 06 PAN 69 690 D.V. Amelin et al. (VES Collab.)

BINON 05 PAN 68 960 F. Binon et al.

AMELIN 00 NP A668 83 D. Amelin et al. (VES Collab.)

ANISOVICH 00J PL B491 47 A.V. Anisovich et al. (RAL, LOQM, PNPI+)

BARBERIS 00F PL B484 198 D. Barberis et al. (WA 102 Collab.)

ALDE 98 EPJ A3 361 D. Alde et al. (GAM4 Collab.)

Also 98 PAN 62 405 D. Alde et al. (GAMS Collab.)

MARTIN 98 PR C57 3492 B.R. Martin et al.

MARTIN 97 PR C56 1114 B.R. Martin, G.C. Oades (LOUC, AARH)

KLOET 96 PR D53 6120 W.M. Kloet, F. Myhrer (RUTG, NORD)

OAKDEN 94 NP A574 731 M.N. Oakden, M.R. Pennington (DURH)

ALDE 90 PL B241 600 D.M. Alde et al. (SERP, BELG, LANL, LAPP+)

OEST 90 ZPHY C47 343 T. Oest et al. (JADE Collab.)

ALDE 87 PL B198 286 D.M. Alde et al. (LANL, BRUX, SERP, LAPP)

AUGUSTIN 87 ZPHY C36 369 J.E. Augustin et al. (LALO, CLER, FRAS+)

BALTRUSAIT... 87 PR D35 2077 R.M. Baltrusaitis et al. (Mark III Collab.)

ALDE 86D NP B269 485 D.M. Alde et al. (BELG, LAPP, SERP, CERN+)

ALTHOFF 85B ZPHY C29 189 M. Althoff et al. (TASSO Collab.)

BINON 84B LNC 39 41 F.G. Binon et al. (SERP, BELG, LAPP)

BINON 83C SJNP 38 723 F.G. Binon et al. (SERP, BRUX+)

DENNEY 83 PR D28 2726 D.L. Denney et al. (IOWA, MICH)

CASON 82 PRL 48 1316 N.M. Cason et al. (NDAM, ANL)

ETKIN 82B PR D25 1786 A. Etkin et al. (BNL, CUNY, TUFTS, VAND)

ALPER 80 PL 94B 422 M. Rozanska et al. (AMST, CERN, CRAC, MPIM+)

ROZANSKA 80 NP B162 505 M.J. Corden et al. (BIRM, RHEL, TELA+) JP

CORDEN 79 NP B157 250 C. Evangelista et al. (BARI, BONN, CERN+)

EVANGELIS... 79B NP B154 381 Y.M. Antipov et al. (SERP, GEVA)

ANTIPOV 77 NP B119 45 W.D. Apel et al. (KARLK, KARLE, PISA, SERP+) JP

APEL 75 PL 57B 398 W. Blum et al. (CERN, MPIM) JP

$$\pi_2(2100)$$

OMITTED FROM SUMMARY TABLE
Needs confirmation.

## $π_2(2100)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>2090 ± 29 OUR AVERAGE</td><td></td><td></td><td></td></tr><tr><td>2090 ± 30</td><td>1 AMELIN</td><td>95B</td><td>VES 36 π<sup>-</sup> A → π<sup>+</sup>π<sup>-</sup> π<sup>-</sup> A</td></tr><tr><td>2100 ± 150</td><td>2 DAUM</td><td>81B</td><td>CNTR 63,94 π<sup>-</sup> p → 3πX</td></tr></tbody></table>

1 From a fit to $J^{PC} = 2^{-} + f_2(1270)\pi, (\pi\pi)_5\pi$ waves.

2 From a two-resonance fit to four $2^{-0+}$ waves.

## $π_2(2100)$ WIDTH

<table><thead><tr><th>VALUE (MeV)</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>620 ± 50 OUR AVERAGE</td><td colspan="3">Error includes scale factor of 1.2.</td></tr><tr><td>520 ± 100</td><td>3 AMELIN</td><td>95B</td><td>VES 36 π<sup>-</sup> A → π<sup>+</sup>π<sup>-</sup> π<sup>-</sup> A</td></tr><tr><td>651 ± 50</td><td>4 DAUM</td><td>81B</td><td>CNTR 63,94 π<sup>-</sup> p → 3πX</td></tr></tbody></table>

3 From a fit to $J^{PC} = 2^{-} + f_2(1270)\pi, (\pi\pi)_5\pi$ waves.

4 From a two-resonance fit to four $2^{-0+}$ waves.
## $\pi_2(2100)$ DECAY MODES

<table><thead><tr><th>Mode</th><th>Fraction ($\Gamma_j/\Gamma$)</th></tr></thead><tbody><tr><td>$\Gamma_1$</td><td>seen</td></tr><tr><td>$\Gamma_2$</td><td>seen</td></tr><tr><td>$\Gamma_3$</td><td>seen</td></tr><tr><td>$\Gamma_4$</td><td>seen</td></tr></tbody></table>

## $\pi_2(2100)$ BRANCHING RATIOS

<table><thead><tr><th>$\Gamma(\rho\pi)/\Gamma(3\pi)$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>VALUE</strong></td><td></td><td></td><td></td></tr><tr><td><strong>0.19±0.05</strong></td><td>5 DAUM</td><td>81B</td><td>63,94 $\pi^-$</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma(f_2(1270)\pi)/\Gamma(3\pi)$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>VALUE</strong></td><td></td><td></td><td></td></tr><tr><td><strong>0.36±0.09</strong></td><td>5 DAUM</td><td>81B</td><td>63,94 $\pi^-$</td></tr></tbody></table>

<table><thead><tr><th>$\Gamma((\pi\pi)_5\pi)/\Gamma(3\pi)$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>VALUE</strong></td><td></td><td></td><td></td></tr><tr><td><strong>0.45±0.07</strong></td><td>5 DAUM</td><td>81B</td><td>63,94 $\pi^-$</td></tr></tbody></table>

<table><thead><tr><th>D-wave/S-wave RATIO FOR $\pi_2(2100) \rightarrow f_2(1270)\pi$</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td><strong>VALUE</strong></td><td></td><td></td><td></td></tr><tr><td><strong>0.39±0.23</strong></td><td>5 DAUM</td><td>81B</td><td>63,94 $\pi^-$</td></tr></tbody></table>

## $\pi_2(2100)$ REFERENCES

AMELIN 95B PL B356 595
DAUM 81B NP B182 269

D.V. Amelin et al. (SERP, TBIL)
C. Daum et al. (AMST, CERN, CRAC, PMIM+)

$$f_0(2100)$$

$$I^G(J^{PC}) = 0^+(0^+ +^-)$$

OMITTED FROM SUMMARY TABLE

Needs confirmation.

## $f_0(2100)$ MASS

<table><thead><tr><th>VALUE (MeV)</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td colspan="5"><strong>2095<sup>+17</sup><sub>-19</sub> OUR AVERAGE</strong></td></tr><tr><td>2116±27±17</td><td></td><td>LEES</td><td>21A</td><td>BABR $\gamma\gamma \rightarrow \eta_c(1S) \rightarrow \eta'\pi^+\pi^-$</td></tr><tr><td>2081±13<sup>+24</sup><sub>-36</sub></td><td>5.5k</td><td>1 ABLIKIM</td><td>13N</td><td>BES3 $e^+e^- \rightarrow J/\psi \rightarrow \gamma\eta\eta$</td></tr><tr><td>2090±30</td><td></td><td>BAI</td><td>00A</td><td>BES $J/\psi \rightarrow \gamma(\pi^+\pi^-\pi^+\pi^-)$</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>2075±20</td><td></td><td>SARANTSEV</td><td>21</td><td>RVUE $J/\psi(1S) \rightarrow \gamma(\pi\pi, K\bar{K}, \eta\eta, \omega\phi)$</td></tr><tr><td>2090±10±6</td><td>529</td><td>2,3 DOBBS</td><td>15</td><td>$J/\psi \rightarrow \gamma\pi^+\pi^-$</td></tr><tr><td>2099±17±8</td><td>283</td><td>2,3 DOBBS</td><td>15</td><td>$\psi(2S) \rightarrow \gamma\pi^+\pi^-$</td></tr><tr><td>2105±8</td><td>80k</td><td>4 UMAN</td><td>06</td><td>E835 $2.0\bar{p}p \rightarrow \eta\pi^0\pi^0, \pi^0\pi^0, \eta\eta, \eta'\eta, \pi^+\pi^-$</td></tr><tr><td>2102±13</td><td></td><td>5 ANISOVICH</td><td>00J</td><td>SPEC $0.6-1.94\bar{p}p \rightarrow \eta\eta, \eta\eta'$</td></tr><tr><td>2105±10</td><td></td><td>ANISOVICH</td><td>99K</td><td>SPEC $J/\psi \rightarrow \gamma\pi^+\pi^+\pi^+\pi^-$</td></tr><tr><td>~ 2104</td><td></td><td>BUGG</td><td>95</td><td></td></tr><tr><td>~ 2122</td><td></td><td>HASAN</td><td>94</td><td>RVUE $\bar{p}p \rightarrow \pi\pi$</td></tr></tbody></table>

## $f_0(2100)$ 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 colspan="5"><strong>287<sup>+32</sup><sub>-24</sub> OUR AVERAGE</strong></td></tr><tr><td>289±34±15</td><td></td><td>LEES</td><td>21A</td><td>BABR $\gamma\gamma \rightarrow \eta_c(1S) \rightarrow \eta'\pi^+\pi^-$</td></tr><tr><td>273<sup>+27</sup><sub>-24</sub>±23</td><td>5.5k</td><td>1 ABLIKIM</td><td>13N</td><td>BES3 $e^+e^- \rightarrow J/\psi \rightarrow \gamma\eta\eta$</td></tr><tr><td>330±100</td><td></td><td>BAI</td><td>00A</td><td>BES $J/\psi \rightarrow \gamma(\pi^+\pi^-\pi^+\pi^-)$</td></tr><tr><td colspan="5">• • • We do not use the following data for averages, fits, limits, etc. • • •</td></tr><tr><td>260±25</td><td></td><td>SARANTSEV</td><td>21</td><td>RVUE $J/\psi(1S) \rightarrow \gamma(\pi\pi, K\bar{K}, \eta\eta, \omega\phi)$</td></tr><tr><td>236±14</td><td>80k</td><td>2 UMAN</td><td>06</td><td>E835 $2.0\bar{p}p \rightarrow \eta\eta\pi^0$</td></tr><tr><td>211±29</td><td></td><td>3 ANISOVICH</td><td>00J</td><td>SPEC $2.0\bar{p}p \rightarrow \eta\pi^0\pi^0, \pi^0\pi^0, \eta\eta, \eta'\eta, \pi^+\pi^-$</td></tr><tr><td>200±25</td><td></td><td>ANISOVICH</td><td>99K</td><td>SPEC $0.6-1.94\bar{p}p \rightarrow \eta\eta, \eta\eta'$</td></tr><tr><td>~ 203</td><td></td><td>BUGG</td><td>95</td><td>$J/\psi \rightarrow \gamma\pi^+\pi^+\pi^+\pi^-$</td></tr><tr><td>~ 273</td><td></td><td>HASAN</td><td>94</td><td>RVUE $\bar{p}p \rightarrow \pi\pi$</td></tr></tbody></table>

## $f_0(2100)$ REFERENCES

<table><tbody><tr><td>LEES</td><td>21A</td><td>PR D104 072002</td><td>J.P. Lees et al. (BABAR Collab.)</td></tr><tr><td>SARANTSEV</td><td>21</td><td>PL B816 136227</td><td>A.V. Sarantsev et al. (BONN, PNPI) (NWS)</td></tr><tr><td>DOBBS</td><td>15</td><td>PR D91 052006</td><td>S. Dobbs et al. (BESIII Collab.)</td></tr><tr><td>ABLIKIM</td><td>13N</td><td>PR D87 092009</td><td>I. Uman et al. (FNAL E835)</td></tr><tr><td>OMAN</td><td>06</td><td>PR D73 052009</td><td>A.V. Anisovich et al. (RAL, LOQM, PNPI+)</td></tr><tr><td>ANISOVICH</td><td>00B</td><td>NP A662 319</td><td>A.V. Anisovich et al. (BES Collab.)</td></tr><tr><td>ANISOVICH</td><td>00J</td><td>PL B491 47</td><td>A.V. Anisovich et al. (BES Collab.)</td></tr><tr><td>BAI</td><td>00A</td><td>PL B472 207</td><td>A.V. Anisovich et al. (BES Collab.)</td></tr><tr><td>ANISOVICH</td><td>99K</td><td>PL B468 309</td><td>A.V. Anisovich et al. (BES Collab.)</td></tr><tr><td>BUGG</td><td>95</td><td>PL B353 378</td><td>D.V. Bugg et al. (LOQM, PNPI, WASH)</td></tr><tr><td>HASAN</td><td>94</td><td>PL B334 215</td><td>A. Hasan, D.V. Bugg (LOQM)</td></tr></tbody></table>

$$f_2(2150)$$

$$I^G(J^{PC}) = 0^+(2^+ +^-)$$

OMITTED FROM SUMMARY TABLE

This entry was previously called $T_0$.

## $f_2(2150)$ MASS

### $f_2(2150)$ MASS, COMBINED MODES (MeV)

VALUE (MeV) EVTS DOCUMENT ID TECN COMMENT

2157±12 OUR AVERAGE Includes data from the datalink that follows this one.

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

$$2170 \pm 6 \qquad 80k \qquad 1 \text{ UMAN} \qquad 06 \qquad E835 \qquad 5.2 \bar{p}p \rightarrow \eta\eta\pi^0$$

### $\eta\eta$ MODE

VALUE (MeV) DOCUMENT ID TECN COMMENT

The data in this block is included in the average printed for a previous datalink.

### 2157±12 OUR AVERAGE

<table><tbody><tr><td>2151±16</td><td></td><td>BARBERIS 00E</td><td>450 $pp \rightarrow p\eta\eta p_S$</td></tr><tr><td>2175±20</td><td></td><td>PROKOSHKIN 95D</td><td>300 $\pi^-N \rightarrow \pi^-N 2\eta$</td></tr><tr><td></td><td></td><td></td><td>450 $pp \rightarrow p\bar{p}2\eta$</td></tr><tr><td>2130±35</td><td></td><td>SINGOVSKI 94</td><td>GAM4 450 $pp \rightarrow p\bar{p}2\eta$</td></tr></tbody></table>

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

<table><tbody><tr><td>2140±30</td><td></td><td>2 ABELE 99B</td><td>CBAR 1.94 $\bar{p}p \rightarrow \pi^0\eta\eta$</td></tr><tr><td>2104±20</td><td></td><td>3 ARMSTRONG 93C</td><td>E760 $\bar{p}p \rightarrow \pi^0\eta\eta \rightarrow 6\gamma$</td></tr></tbody></table>

### $\eta\pi\pi$ MODE

VALUE (MeV) DOCUMENT ID TECN CHG COMMENT

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

$$2135 \pm 20 \pm 45 \qquad 4 \text{ ADOMEIT} \quad 96 \quad \text{CBAR} \quad 0 \quad 1.94 \bar{p}p \rightarrow \eta 3\pi^0$$

### $\bar{p}p \rightarrow \pi\pi$

VALUE (MeV) DOCUMENT ID TECN COMMENT

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

<table><tbody><tr><td>~ 2090</td><td></td><td>5 OAKDEN</td><td>94</td><td>RVUE 0.36-1.55 $\bar{p}p \rightarrow \pi\pi$</td></tr><tr><td>~ 2120</td><td></td><td>6 OAKDEN</td><td>94</td><td>RVUE 0.36-1.55 $\bar{p}p \rightarrow \pi\pi$</td></tr><tr><td>~ 2170</td><td></td><td>7 MARTIN</td><td>80B</td><td>RVUE</td></tr><tr><td>~ 2150</td><td></td><td>7 MARTIN</td><td>80C</td><td>RVUE</td></tr><tr><td>~ 2150</td><td></td><td>8 DULUDE</td><td>78B</td><td>OSPK 1-2 $\bar{p}p \rightarrow \pi^0\pi^0$</td></tr></tbody></table>

### $S$-CHANNEL $\bar{p}p, \bar{N}N$ or $K\bar{K}$

VALUE (MeV) DOCUMENT ID TECN CHG COMMENT

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

<table><tbody><tr><td>2139<sup>+8</sup><sub>-9</sub></td><td></td><td>9 EVANGELIS... 97</td><td>SPEC 0.6-2.4 $\bar{p}p \rightarrow K_S^0 K_S^0$</td></tr><tr><td>~ 2190</td><td></td><td>9 CUTTS 78B</td><td>CNTR 0.97-3 $\bar{p}p \rightarrow \bar{N}N$</td></tr><tr><td>2155±15</td><td></td><td>9.10 COUPLAND 77</td><td>CNTR 0 0.7-2.4 $\bar{p}p \rightarrow \bar{p}p$</td></tr><tr><td>2193±2</td><td></td><td>9.11 ALSPECTOR 73</td><td>CNTR $\bar{p}p S$ channel</td></tr></tbody></table>

### $K\bar{K}$ MODE

VALUE (MeV) DOCUMENT ID TECN COMMENT

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

<table><tbody><tr><td>2200±13</td><td></td><td>VLADIMIRSK... 06</td><td>SPEC $40^-p \rightarrow K_S^0 K_S^0 \eta$</td></tr><tr><td>2150±20</td><td></td><td>ABLIKIM 04E</td><td>BES2 $J/\psi \rightarrow \omega K^+ K^-$</td></tr><tr><td>2130±35</td><td></td><td>BARBERIS 99</td><td>OMEG 450 $pp \rightarrow P_S p_F K^+ K^-$</td></tr></tbody></table>

<footnote n="5">⁵ From a two-resonance fit to four $2^-0^+$ waves.</footnote>

<footnote n="1">¹ From partial wave analysis including all possible combinations of $0^{++}$, $2^{++}$, and $4^{++}$ resonances.</footnote>

<footnote n="2">² Using CLEO-c data but not authored by the CLEO Collaboration.</footnote>

<footnote n="3">³ From a fit to a Breit-Wigner line shape with fixed $\Gamma = 209$ MeV.</footnote>

<footnote n="4">⁴ Statistical error only.</footnote>

<footnote n="5">⁵ Includes the data of ANISOVICH 00b indicating to exotic decay pattern.</footnote>

<footnote n="1">¹ From partial wave analysis including all possible combinations of $0^{++}$, $2^{++}$, and $4^{++}$ resonances.</footnote>

<footnote n="2">² Statistical error only.</footnote>

<footnote n="3">³ Includes the data of ANISOVICH 00b indicating to exotic decay pattern.</footnote>

<footnote n="1">¹ Statistical error only.</footnote>

<footnote n="2">² Spin not determined.</footnote>

<footnote n="3">³ No $J^{PC}$ determination.</footnote>

<footnote n="4">⁴ ANISOVICH 00E recommends to withdraw ADOMEIT 96 that assumed a single $J^P = 2^+$ resonance.</footnote>

<footnote n="5">⁵ OAKDEN 94 makes an amplitude analysis of LEAR data on $\bar{p}p \rightarrow \pi\pi$ using a method based on Barrelet zeros. This is solution A. The amplitude analysis of HASAN 94 includes earlier data as well, and assume that the data can be parametrized in terms of towers of nearly degenerate resonances on the leading Regge trajectory. See also KLOET 96 and MARTIN 97 who make related analyses.</footnote>

<footnote n="6">⁶ From solution B of amplitude analysis of data on $\bar{p}p \rightarrow \pi\pi$.</footnote>

<footnote n="7">⁷ $I(J^P) = 0(2^+)$ from simultaneous analysis of $\bar{p}p \rightarrow \pi^-\pi^+$ and $\pi^0\pi^0$.</footnote>

<footnote n="8">⁸ $I^G(J^P) = 0^+(2^+)$ from partial-wave amplitude analysis.</footnote>

<footnote n="9">⁹ Iospissos 0 and 1 not separated.</footnote>

<footnote n="10">¹⁰ From a fit to the total elastic cross section.</footnote>

<footnote n="11">¹¹ Referred to as T or T region by ALSPECTOR 73.</footnote>
$f_2(2150)$ WIDTH

$f_2(2150)$ WIDTH, COMBINED MODES (MeV)

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

**152±30 OUR AVERAGE** Includes data from the datablock that follows this one. Error includes scale factor of 1.4. See the ideogram below.

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

<table><tr><td>182±11</td><td>80k</td><td>12 UMAN</td><td>06</td><td>E835</td><td>5.2 p̄p → πηπ°</td></tr></table>

¹²Statistical error only.

<figure><img src="image_503.png" /></figure>

ηη MODE

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

The data in this block is included in the average printed for a previous datablock.

**152±30 OUR AVERAGE** Error includes scale factor of 1.4. See the ideogram below.

<table><tr><td>280±70</td><td>BARBERIS</td><td>00E</td><td>450 pp → p<sub>f</sub>ηηp<sub>s</sub></td></tr><tr><td>150±35</td><td>PROKOSHKIN</td><td>95D</td><td>GAM4</td><td>300 π<sup>-</sup> N → π<sup>-</sup> N 2η, 450 pp → pp2η</td></tr><tr><td>130±30</td><td>SINGOVSKI</td><td>94</td><td>GAM4</td><td>450 pp → pp2η</td></tr></table>

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

<table><tr><td>310±50</td><td>13 ABELE</td><td>99B</td><td>CBAR</td><td>1.94 p̄p → π°ηη</td></tr><tr><td>203±10</td><td>14 ARMSTRONG</td><td>93C</td><td>E760</td><td>p̄p → π°ηη → 6γ</td></tr></table>

¹³Spin not determined.

¹⁴No JPC determination.

<figure><img src="image_504.png" /></figure>

ηππ MODE

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

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

<table><tr><td>250±25±45</td><td>15 ADOMEIT</td><td>96</td><td>CBAR</td><td>0</td><td>1.94 p̄p → η3π°</td></tr></table>

¹⁵ANISOVICH 00E recommends to withdraw ADOMEIT 96 that assumed a single $J^P = 2^+$ resonance.

$p̄p \rightarrow \pi\pi$

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

250 OUR ESTIMATE

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

<table><tr><td>~ 70</td><td>16 OAKDEN</td><td>94</td><td>RVUE</td><td>0.36-1.55 p̄p → ππ</td></tr><tr><td>~ 250</td><td>17 MARTIN</td><td>80B</td><td>RVUE</td><td></td></tr><tr><td>~ 250</td><td>17 MARTIN</td><td>80C</td><td>RVUE</td><td></td></tr><tr><td>~ 250</td><td>18 DULUDE</td><td>78B</td><td>OSPK</td><td>1-2 p̄p → π°π°</td></tr></table>

¹⁶See however KLOET 96 who fit $π^+π^-$ only and find waves only up to $J = 3$ to be important but not significantly resonant.

¹⁷$I(J^P) = 0(2^+)$ from simultaneous analysis of $p̄p → π^-π^+$ and $π^0π^0$.

¹⁸$I^G(J^P) = 0^+(2^+)$ from partial-wave amplitude analysis.

S-CHANNEL p̄p, NN or K̄K

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

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

<table><tr><td>56<sup>+31</sup><sub>-16</sub></td><td>19 EVANGELIS...</td><td>97</td><td>SPEC</td><td>0.6-2.4 p̄p → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup>η</td></tr><tr><td>135±75</td><td>20,21 COUPLAND</td><td>77</td><td>CNTR</td><td>0</td></tr><tr><td>98±8</td><td>21 ALSPECTOR</td><td>73</td><td>CNTR</td><td>0.7-2.4 p̄p → p̄p</td></tr></table>

¹⁹Iospin 0 and 2 not separated.

²⁰From a fit to the total elastic cross section.

²¹Iospins 0 and 1 not separated.

K̄K MODE

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

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

<table><tr><td>91±62</td><td>VLADIMIRSK...</td><td>06</td><td>SPEC</td><td>40 π<sup>-</sup> p → K<sub>S</sub><sup>0</sup> K<sub>S</sub><sup>0</sup>η</td></tr><tr><td>150±30</td><td>ABLIKIM</td><td>04E</td><td>BES2</td><td>J/ψ → ωK<sup>+</sup> K<sup>-</sup></td></tr><tr><td>270±50</td><td>BARBERIS</td><td>99</td><td>OMEG</td><td>450 pp → p<sub>S</sub>p<sub>f</sub> K<sup>+</sup> K<sup>-</sup></td></tr></table>

$f_2(2150)$ 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> ππ</td><td>seen</td></tr><tr><td>Γ<sub>2</sub> ηη</td><td>seen</td></tr><tr><td>Γ<sub>3</sub> K̄K̄</td><td>seen</td></tr><tr><td>Γ<sub>4</sub> f<sub>2</sub>(1270)η</td><td>seen</td></tr><tr><td>Γ<sub>5</sub> a<sub>2</sub>(1320)π</td><td>seen</td></tr><tr><td>Γ<sub>6</sub> p̄p</td><td>seen</td></tr></tbody></table>

$f_2(2150)$ BRANCHING RATIOS

$\Gamma(K̄K̄)/\Gamma(ηη)$

<table><thead><tr><th>VALUE</th><th>CL%</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>1.28±0.23</td><td></td><td>BARBERIS</td><td>00E</td><td>450 pp → p<sub>f</sub>ηηp<sub>S</sub></td></tr></tbody></table>

$\Gamma_3/\Gamma_2$

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

<table><tr><td>&lt;0.1</td><td>95</td><td>22 PROKOSHKIN 95D</td><td>GAM4</td><td>300 π<sup>-</sup> N → π<sup>-</sup> N 2η, 450 pp → pp2η</td></tr></table>

²²Using data from ARMSTRONG 89D.

$\Gamma(\pi\pi)/\Gamma(ηη)$

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

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

<table><tr><td>&lt;0.33</td><td>95</td><td>23 PROKOSHKIN 95D</td><td>GAM4</td><td>300 π<sup>-</sup> N → π<sup>-</sup> N 2η, 450 pp → pp2η</td></tr></table>

²³Derived from a $π^0π^0/ηη$ limit.

$\Gamma(f_2(1270)η)/\Gamma(a_2(1320)π)$

<table><thead><tr><th>VALUE</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>0.79±0.11</td><td>24 ADOMEIT</td><td>96</td><td>CBAR</td><td>1.94 p̄p → η3π°</td></tr></tbody></table>

²⁴Using $B(a_2(1320) → ηπ) = 0.145$

$\Gamma(p̄p)/\Gamma_{\text{total}}$

<table><thead><tr><th>VALUE</th><th>EVTS</th><th>DOCUMENT ID</th><th>TECN</th><th>COMMENT</th></tr></thead><tbody><tr><td>seen</td><td>73</td><td>ALEXANDER</td><td>10</td><td>ψ(2S) → γp̄p</td></tr></tbody></table>

$\Gamma_6/\Gamma$

$f_2(2150)$ REFERENCES

<table><tr><td>ALEXANDER</td><td>10</td><td>PR D82 092002</td><td>J.P. Alexander et al.</td><td>(CLEO Collab.)</td></tr><tr><td>UMAN</td><td>06</td><td>PR D73 052009</td><td>I. Uman et al.</td><td>(FNAL E835)</td></tr><tr><td>VLADIMIRSK...</td><td>06</td><td>PAN 69 493</td><td>V.V. Vladimirsky et al.</td><td>(ITEP, Moscow)</td></tr><tr><td>ABLIKIM</td><td>04E</td><td>PL B603 138</td><td>V. V. Vladimirsky et al.</td><td>(BES Collab.)</td></tr><tr><td>ANISOVICH</td><td>00E</td><td>PL B477 19</td><td>M. Ablikim et al.</td><td>(WA 102 Collab.)</td></tr><tr><td>BARBERIS</td><td>00E</td><td>PL B479 59</td><td>D. Barberis et al.</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>ABELE</td><td>99B</td><td>EPJ C8 67</td><td>A. Abele et al.</td><td>(Omega Exp.)</td></tr><tr><td>BARBERIS</td><td>99</td><td>PL B453 305</td><td>D. Barberis et al.</td><td>(LEAR Collab.)</td></tr><tr><td>EVANGELIS...</td><td>97</td><td>PR D56 3803</td><td>C. Evangelista et al.</td><td>(LOU, AARH)</td></tr><tr><td>MARTIN</td><td>97</td><td>PR C56 1114</td><td>B.R. Martin, G.C. Oades</td><td>(Crystal Barrel Collab.)</td></tr><tr><td>ADOMEIT</td><td>96</td><td>ZPHY C71 227</td><td>J. Adomeit et al.</td><td>(RUTG, NORD)</td></tr><tr><td>KLOET</td><td>96</td><td>PR D53 6120</td><td>W.M. Kloet, F. Myhrer</td><td>(SERP) IGJPC</td></tr><tr><td>PROKOSHKIN</td><td>95D</td><td>PD 40 495</td><td>Y.D. Prokoshkin</td><td></td></tr></table>