${{\mathit f}_{{0}}{(1370)}}$ T-MATRIX POLE $\sqrt {\mathit s }$

INSPIRE   PDGID:
M147PP
Note that $\Gamma \approx{}$2 Im($\sqrt {{\mathrm {s_{{\mathrm {pole}}}}} }$).
VALUE (MeV) DOCUMENT ID TECN  COMMENT
$\bf{ (1250 - 1440) −{\mit i} (60 - 300)}$ OUR ESTIMATE
$(1370 \pm40)−{\mit i}(195 \pm20)$
SARANTSEV
2021
RVUE ${{\mathit J / \psi}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}$ ( ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \omega}}{{\mathit \phi}}$ )
$(1280.6 \pm1.6 \pm47.4) − {\mit i}(205.2 \pm1.7 \pm20.7)$ 1
ALBRECHT
2020
RVUE 0.9 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit K}^{+}}{{\mathit K}^{-}}$
$(1290 \pm50)−{\mit i}(170 {}^{+20}_{-40})$ 2
ANISOVICH
2009
RVUE 0.0 ${{\overline{\mathit p}}}{{\mathit p}}$ , ${{\mathit \pi}}{{\mathit N}}$
$(1373 \pm15)−{\mit i}(137 \pm10)$ 3
BARGIOTTI
2003
OBLX ${{\overline{\mathit p}}}{{\mathit p}}$
$(1302 \pm17)−{\mit i}(166 \pm18)$ 4
BARBERIS
2000C
 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}_{{f}}}$4 ${{\mathit \pi}}{{\mathit p}_{{s}}}$
$(1312 \pm25 \pm10)−{\mit i}(109 \pm22 \pm15)$
BARBERIS
1999D
 OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ , ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$(1406 \pm19)−{\mit i}(80 \pm6)$ 5
KAMINSKI
1999
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit \sigma}}{{\mathit \sigma}}$
$(1300 \pm20)−{\mit i}(120 \pm20)$
ANISOVICH
1998B
 RVUE Compilation
$(1290 \pm15)−{\mit i}(145 \pm15)$
BARBERIS
1997B
 OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}$2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$)
$(1548 \pm40)−{\mit i}(560 \pm40)$
BERTIN
1997C
 OBLX 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$
$(1380 \pm40)−{\mit i}(180 \pm25)$
ABELE
1996B
 CBAR 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit K}_L^0}$ ${{\mathit K}_L^0}$
$(1300 \pm15)−{\mit i}(115 \pm8)$
BUGG
1996
RVUE
$(1330 \pm50)−{\mit i}(150 \pm40)$ 6
AMSLER
1995B
 CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$
$(1360 \pm35)−{\mit i}(150 - 300)$ 6
AMSLER
1995C
 CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$
$(1390 \pm30)−{\mit i}(190 \pm40)$ 7
AMSLER
1995D
 CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$
$1346−{\mit i}\text{ 249}$ 8, 9
JANSSEN
1995
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$
$1214−{\mit i}\text{ 168}$ 10, 9
TORNQVIST
1995
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit K}}{{\mathit \pi}}$ , ${{\mathit \eta}}{{\mathit \pi}}$
$1364−{\mit i}\text{ 139}$
AMSLER
1994D
 CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$
$(1365 {}^{+20}_{-55})−{\mit i}(134 \pm35)$
ANISOVICH
1994
CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$
$(1340 \pm40)−{\mit i}(127 {}^{+30}_{-20})$ 11
BUGG
1994
RVUE ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \eta}}{{\mathit \eta}}{{\mathit \pi}^{0}}$ , ${{\mathit \eta}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$
$(1430 \pm5)−{\mit i}(73 \pm13)$ 12
KAMINSKI
1994
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$
$1420−{\mit i}\text{ 220}$ 13
AU
1987
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$
1  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 ( ${{\mathit \eta}}{{\mathit \eta}^{\,'}}$ ).
2  Another pole is found at ($1510$ $\pm130$) $−$ $\mathit i$ ($800$ ${}^{+100}_{-150}$) MeV.
3  Coupled channel analysis of ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ , ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$ , and ${{\mathit K}^{\pm}}{{\mathit K}_S^0}$ ${{\mathit \pi}^{\mp}}$ .
4  Average between ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$ and 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ).
5  T-matrix pole on sheet $−−−$.
6  Supersedes ANISOVICH 1994 .
7  Coupled-channel analysis of ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ , and ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ on sheet$~$IV. Demonstrates explicitly that ${{\mathit f}_{{0}}{(500)}}$ and ${{\mathit f}_{{0}}{(1370)}}$ are two different poles.
8  Analysis of data from FALVARD 1988 .
9  The pole is on Sheet III. Demonstrates explicitly that ${{\mathit f}_{{0}}{(500)}}$ and ${{\mathit f}_{{0}}{(1370)}}$ are two different poles.
10  Uses data from BEIER 1972B, OCHS 1973 , HYAMS 1973 , GRAYER 1974 , ROSSELET 1977 , CASON 1983 , ASTON 1988 , and ARMSTRONG 1991B. Coupled channel analysis with flavor symmetry and all light two-pseudoscalars systems.
11  Reanalysis of ANISOVICH 1994 data.
12  T-matrix pole on sheet III.
13  Analysis of data from OCHS 1973 ,GRAYER 1974 , BECKER 1979 , and CASON 1983 .
References:
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
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
BARGIOTTI 2003
EPJ C26 371 Coupled Channel Analysis of ${{\mathit \pi}^{+}}{{\mathit \pi}^{0}}$ , ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{-}}$ and ${{\mathit K}^{\pm}}{{\mathit K}_S^0}$ from ${{\overline{\mathit p}}}{{\mathit p}}$ Annihilation at Rest in Hydrogen Targets at Three Densities
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 ${{\mathit K}_L^0}$ ${{\mathit K}_L^0}$
BUGG 1996
NP B471 59 New Results on ${{\mathit \pi}}{{\mathit \pi}}$ Phase Shifts Between 600 and 1900 MeV
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 ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$
AMSLER 1995C
PL B353 571 High Statistics Study of ${{\mathit f}_{{0}}{(1525)}}$ Decay into ${{\mathit \eta}}{{\mathit \eta}}$
AMSLER 1995B
PL B342 433 High Statistical Study of ${{\mathit f}_{{0}}{(1500)}}$ Decay into ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$
JANSSEN 1995
PR D52 2690 On the Structure of the Scalar Mesons ${{\mathit f}_{{0}}{(975)}}$ and ${{\mathit a}_{{0}}{(980)}}$
TORNQVIST 1995
ZPHY C68 647 Understanding the Scalar Meson ${\mathit {\mathit q}}{\mathit {\overline{\mathit q}}}$ Nonet
AMSLER 1994D
PL B333 277 Observation of a New $\mathit I{}^{G}(\mathit J{}^{PC}) = 1{}^{-}(0{}^{++})$ Resonance at 1450 MeV
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
KAMINSKI 1994
PR D50 3145 Relativistic Effects in the Scalar Meson Dynamics
AU 1987
PR D35 1633 Meson Dynamics beyond the Quark Model: a Study of Final State Interactions