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${{\mathit f}_{{0}}{(980)}}$ T-MATRIX POLE $\sqrt {\mathit s }$

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M003PP

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

VALUE (MeV) DOCUMENT ID TECN  COMMENT $\bf{ (980 - 1010) − {\mit i} (20 - 35)}$ OUR ESTIMATE  (see Fig. 64.4 in the review) $(1014 \pm8)−{\mit i}(35 \pm5)$ SARANTSEV 2021 RVUE ${{\mathit J / \psi}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}$ ( ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \omega}}{{\mathit \phi}}$ ) $(992.8 \pm1.3) − {\mit i}(30.7 \pm2.3)$ 1 ALBRECHT 2020 RVUE 0.9 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ $(1003 {}^{+5}_{-27}) − {\mit i}(21 {}^{+10}_{-8})$ 2 GARCIA-MARTIN 2011 RVUE Compilation $(996 \pm7) − {\mit i}(25 {}^{+10}_{-6})$ 3 GARCIA-MARTIN 2011 RVUE Compilation $(996 {}^{+4}_{-14}) − {\mit i}(24 {}^{+11}_{-3})$ 4 MOUSSALLAM 2011 RVUE Compilation $(981 \pm43) − {\mit i}(18 \pm11)$ 5 MENNESSIER 2010 RVUE Compilation $(1030 {}^{+30}_{-10}) − {\mit i}(35 {}^{+10}_{-16})$ 6 ANISOVICH 2009 RVUE 0.0 ${{\overline{\mathit p}}}{{\mathit p}}$ , ${{\mathit \pi}}{{\mathit N}}$ $(973 {}^{+39}_{-127}) − {\mit i}(11 {}^{+189}_{-11})$ 7 PELAEZ 2004 A RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ 1  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 ( ${{\mathit \eta}}{{\mathit \eta}^{\,'}}$ ). Based on 18.5k events. Second solution $977.8$ $\pm1.7$ MeV. 2  Reanalysis of the ${{\mathit K}_{{e4}}}$ data of BATLEY 2010C and the ${{\mathit \pi}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}{{\mathit N}}$ data of HYAMS 1973 , GRAYER 1974 , and PROTOPOPESCU 1973 using Roy equations. 3  Reanalysis of the ${{\mathit K}_{{e4}}}$ data of BATLEY 2010C and the ${{\mathit \pi}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}{{\mathit N}}$ data of HYAMS 1973 , GRAYER 1974 , and PROTOPOPESCU 1973 using GKPY equations. 4  Uses Roy equations. 5  Average of the analyses of three data sets in the K-matrix model. Uses the data of BATLEY 2008A, HYAMS 1973 , and GRAYER 1974 , partially of COHEN 1980 or ETKIN 1982B. 6  On sheet II in a 2-pole solution. The other pole is found on sheet III at (850 $−$ ${\mit i}$ 100) MeV. 7  Reanalysis of data from PROTOPOPESCU 1973 , ESTABROOKS 1974 , GRAYER 1974 , and COHEN 1980 in the unitarized ChPT model.

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 GARCIA-MARTIN 2011 PRL 107 072001 Precise Determination of the ${{\mathit f}_{{0}}{(600)}}$ and ${{\mathit f}_{{0}}{(980)}}$ Pole Parameters from a Dispersive Data Analysis MOUSSALLAM 2011 EPJ C71 1814 Couplings of Light $\mathit I = 0$ Scalar Mesons to Simple Operators in the Complex Plane MENNESSIER 2010 PL B688 59 The ${{\mathit \sigma}}$ and ${{\mathit f}_{{0}}{(980)}}$ from ${{\mathit K}_{{e4}}}$⊕${{\mathit \pi}}{{\mathit \pi}}$ Scatterings 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 PELAEZ 2004A MPL A19 2879 Light Scalars as Tetraquarks or Two-meson States from Large ${{\mathit N}_{{c}}}$ and Unitarized Chiral Perturbation Theory