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

Note that $\Gamma $ = $−$2 Im($\sqrt {s }$).
M152PP
VALUE (MeV) DOCUMENT ID TECN  COMMENT
$\bf{ (1430 - 1530) − {\mit i} (40 - 90)}$ OUR ESTIMATE
$(1487.8 \pm7.7 \pm3.7) − {\mit i}~(46.1 \pm8.6 \pm6.6)$
ABLIKIM
2025CD
 BES3 ${{\mathit e}^{+}}$ ${{\mathit e}^{-}}$ $\rightarrow$ ${{\mathit \psi}{(2S)}}$
$(1450 \pm10) − {\mit i} (53 \pm8)$ 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
2000A
 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
2000C
 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}_{{{f}}}}$4 ${{\mathit \pi}}{{\mathit p}_{{{s}}}}$
$(1510 \pm8) − {\mit i} (55 \pm8)$
BARBERIS
2000E
 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
1999D
 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
1998B
 RVUE Compilation.
$(1510 \pm20) − {\mit i} (60 \pm18)$
BARBERIS
1997B
 OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}$2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$)
$(1449 \pm20) − {\mit i} (57 \pm15)$
BERTIN
1997C
 OBLX 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$
$(1515 \pm20) − {\mit i} (53 \pm8)$
ABELE
1996B
 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
1996C
 RVUE Compilation.
$(1500 \pm10) − {\mit i} (77 \pm15)$ 8
AMSLER
1995D
 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.
  References:
ABLIKIM 2025CD
JHEP 2510 081
RODAS 2022
EPJ C82 80 Scalar and tensor resonances in $J/\psi $ radiative decays
SARANTSEV 2021
PL B816 136227 Scalar isoscalar mesons and the scalar glueball from radiative $J/\psi$ decays
ALBRECHT 2020
EPJ C80 453 Coupled channel analysis of ${\bar{p}p}\,\rightarrow \,\pi ^0\pi ^0\eta $, ${\pi ^0\eta \eta }$ and ${K^+K^-\pi ^0}$ at 900 MeV/c and of ${\pi \pi }$-scattering data
ROPERTZ 2018
EPJ C78 1000 A new parametrization for the scalar pion form factors
ANISOVICH 2009
IJMP A24 2481 The Combined Analysis of ${{\mathit \pi}}$ ${{\mathit N}}$ $\rightarrow$ two mesons ${+}$ ${{\mathit N}}$ Reactions within Reggeon Exchanges and Data for ${{\mathit p}}$ ${{\overline{\mathit p}}}$ (at rest) $\rightarrow$ three mesons
ANISOVICH 2003
EPJ A16 229 K Matrix Analysis of the ($\mathit IJ{}^{PC}$ = 00${}^{++}$)-wave in the Mass Region below 1900 MeV
BARBERIS 2000E
PL B479 59 A Study of the ${{\mathit \eta}}$ ${{\mathit \eta}}$ Channel Produced in Central ${{\mathit p}}$ ${{\mathit p}}$ Interactions at 450 ${\mathrm {GeV/}}\mathit c$
BARBERIS 2000A
PL B471 429 A Study of the ${{\mathit \eta}}$ ${{\mathit \eta}^{\,'}}$ and ${{\mathit \eta}^{\,'}}$ ${{\mathit \eta}^{\,'}}$ Channels Produced in Central ${{\mathit p}}$ ${{\mathit p}}$ Interactions at 450 ${\mathrm {GeV/}}\mathit c$
BARBERIS 2000C
PL B471 440 A Spin Analysis of the 4${{\mathit \pi}}$ Channels Produced in Central ${{\mathit p}}$ ${{\mathit p}}$ Interactions at 450 ${\mathrm {GeV/}}\mathit c$
BARBERIS 1999D
PL B462 462 A Coupled Channel Analysis of the Centrally Produced ${{\mathit K}^{+}}$ ${{\mathit K}^{-}}$ and ${{\mathit \pi}^{+}}$ ${{\mathit \pi}^{-}}$ Final States in ${{\mathit p}}$ ${{\mathit p}}$ Interactions at 450 ${\mathrm {GeV/}}\mathit c$
KAMINSKI 1999
EPJ C9 141 Scalar Mesons and Multichannel Amplitudes
ANISOVICH 1998B
SPU 41 419 The Lightest Scalar Glueball
BARBERIS 1997B
PL B413 217 A Study of the Centrally Produced ${{\mathit \pi}^{+}}$ ${{\mathit \pi}^{-}}$ ${{\mathit \pi}^{+}}$ ${{\mathit \pi}^{-}}$ Channel in ${{\mathit p}}$ ${{\mathit p}}$ Interactions at 450 ${\mathrm {GeV/}}\mathit c$
BERTIN 1997C
PL B408 476 Spin Parity Analysis of the Final State ${{\mathit \pi}^{+}}$ ${{\mathit \pi}^{-}}$ ${{\mathit \pi}^{0}}$ from ${{\overline{\mathit p}}}$ ${{\mathit p}}$ Annihilation at Rest in Hydrogen Targets at Three Densities
ABELE 1996B
PL B385 425 Observation of ${{\mathit f}_{{{0}}}{(1500)}}$ Decay into ${{\mathit K}_L^0}$  ${{\mathit K}_L^0}$
ABELE 1996C
NP A609 562 Further Analysis of ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$, ${{\mathit \eta}}$ ${{\mathit \eta}}$ ${{\mathit \pi}^{0}}$ and ${{\mathit \eta}}$ ${{\mathit \pi}^{0}}$ ${{\mathit \pi}^{0}}$ at Rest
AMSLER 1995D
PL B355 425 Coupled Channel Analysis of ${{\overline{\mathit p}}}$ ${{\mathit p}}$ Annihilation into ${{\mathit \pi}^{0}}$ ${{\mathit \pi}^{0}}$ ${{\mathit \pi}^{0}}$, ${{\mathit \pi}^{0}}$ ${{\mathit \eta}}$ ${{\mathit \eta}}$ and ${{\mathit \pi}^{0}}$ ${{\mathit \pi}^{0}}$ ${{\mathit \eta}}$
ANISOVICH 1994
PL B323 233 Observation of Two $\mathit J{}^{PC} = 0{}^{++}$ Isoscalar Resonances at 1365 and 1520 MeV
BUGG 1994
PR D50 4412 Coupled Channel Analysis of Data on ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$, ${{\mathit \eta}}$ ${{\mathit \eta}}$ ${{\mathit \pi}^{0}}$, and ${{\mathit \eta}}$ ${{\mathit \pi}^{0}}$ ${{\mathit \pi}^{0}}$ at Rest, with the N/D Method