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${{\mathit f}_{{{0}}}{(1500)}}$ T-MATRIX POLE $\sqrt {\mathit s }$

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M152PP

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

VALUE (MeV) DOCUMENT ID TECN  COMMENT $\bf{ (1430 - 1530) − {\mit i} (40 - 90)}$ OUR ESTIMATE $(1450 \pm10) − {\mit i} (53 \pm8)$ 1 RODAS 2022 RVUE ${{\mathit J / \psi}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}$ (${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$) $(1483 \pm15) − {\mit i} (58 \pm6)$ SARANTSEV 2021 RVUE ${{\mathit J / \psi}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}$ (${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \omega}}{{\mathit \phi}}$) $(1496 \pm1.2 {}^{+4.4}_{-26.4}) − {\mit i} (40.4 \pm0.3 {}^{+10.0}_{-2.5})$ 2 ALBRECHT 2020 RVUE 0.9 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ $(1465 \pm18) − {\mit i} (50 \pm9)$ 3 ROPERTZ 2018 RVUE ${{\overline{\mathit B}}_{{{s}}}^{0}}$ $\rightarrow$ ${{\mathit J / \psi}}$( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $/$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$) $(1486 \pm10) − {\mit i} (57 \pm5)$ ANISOVICH 2009 RVUE 0.0 ${{\overline{\mathit p}}}{{\mathit p}}$, ${{\mathit \pi}}{{\mathit N}}$ $(1489 {}^{+8}_{-4}) − {\mit i} (51 \pm5)$ 4 ANISOVICH 2003 RVUE $(1515 \pm12) − {\mit i} (55 \pm12)$ BARBERIS 2000 A 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}_{{{f}}}}$( ${{\mathit \eta}}{{\mathit \eta}^{\,'}}$ , ${{\mathit \eta}^{\,'}}{{\mathit \eta}^{\,'}}$) ${{\mathit p}_{{{s}}}}$ $(1511 \pm9) − {\mit i} (51 \pm9)$ 5 BARBERIS 2000 C 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}_{{{f}}}}$4 ${{\mathit \pi}}{{\mathit p}_{{{s}}}}$ $(1510 \pm8) − {\mit i} (55 \pm8)$ BARBERIS 2000 E 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}_{{{f}}}}{{\mathit \eta}}{{\mathit \eta}}{{\mathit p}_{{{s}}}}$ $(1502 \pm12 \pm10) − {\mit i} (49 \pm9 \pm8)$ 6 BARBERIS 1999 D OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$, ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $(1447 \pm27) − {\mit i} (54 \pm23)$ 7 KAMINSKI 1999 RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\overline{\mathit K}}}$, ${{\mathit \sigma}}{{\mathit \sigma}}$ $(1499 \pm8) − {\mit i} (65 \pm10)$ ANISOVICH 1998 B RVUE Compilation. $(1510 \pm20) − {\mit i} (60 \pm18)$ BARBERIS 1997 B OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}$2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) $(1449 \pm20) − {\mit i} (57 \pm15)$ BERTIN 1997 C OBLX 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ $(1515 \pm20) − {\mit i} (53 \pm8)$ ABELE 1996 B CBAR 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit K}_L^0}$ ${{\mathit K}_L^0}$ $(1500 \pm8) − {\mit i} (66 \pm8)$ ABELE 1996 C RVUE Compilation. $(1500 \pm10) − {\mit i} (77 \pm15)$ 8 AMSLER 1995 D CBAR 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$, ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$, ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ $(1520 \pm25) − {\mit i} (74 {}^{+10}_{-13})$ 9 ANISOVICH 1994 CBAR 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ $(1505 \pm20) − {\mit i} (75 \pm10)$ 10 BUGG 1994 RVUE ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$, ${{\mathit \eta}}{{\mathit \eta}}{{\mathit \pi}^{0}}$, ${{\mathit \eta}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ 1  T-matrix pole from coupled channel K-matrix fit to data on ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ (ABLIKIM 2015AE) and ${{\mathit J / \psi}}$ $\rightarrow$ ${{\mathit \gamma}}{{\mathit K}_S^0}$ ${{\mathit K}_S^0}$ (ABLIKIM 2018AA). 2  T-matrix pole, 5 poles, 5 channels, including scattering data from HYAMS 1975 (${{\mathit \pi}}{{\mathit \pi}}$), LONGACRE 1986 (${{\mathit K}}{{\overline{\mathit K}}}$), BINON 1983 (${{\mathit \eta}}{{\mathit \eta}}$), and BINON 1984C (${{\mathit \eta}}{{\mathit \eta}^{\,'}}$). 3  T-matrix pole of 3 channel unitary model fit to data from AAIJ 2014BR and AAIJ 2017V extracted using Pade approximants. 4  Pole position from combined analysis of ${{\mathit \pi}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit n}}$, ${{\mathit \pi}^{-}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}}{{\overline{\mathit K}}}{{\mathit n}}$, ${{\mathit \pi}^{+}}$ ${{\mathit \pi}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$, ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$, ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$, ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$, ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$, ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$, ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{0}}$, ${{\mathit K}^{+}}{{\mathit K}_S^0}$ ${{\mathit \pi}^{-}}$ at rest, ${{\overline{\mathit p}}}$ ${{\mathit n}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{-}}{{\mathit \pi}^{+}}$, ${{\mathit K}_S^0}$ ${{\mathit K}^{-}}{{\mathit \pi}^{0}}$, ${{\mathit K}_S^0}$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{-}}$ at rest. 5  Average between ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$ and 2(${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$). 6  Supersedes BARBERIS 1999 and BARBERIS 1999B. 7  T-matrix pole on sheet $−−+$. 8  Coupled-channel analysis of AMSLER 1995B, AMSLER 1995C, and AMSLER 1994D. 9  From a simultaneous analysis of the annihilations ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$. 10  Reanalysis of ANISOVICH 1994 data.

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