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

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M147PP

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

VALUE (MeV) DOCUMENT ID TECN  COMMENT $\bf{ (1250 - 1440) −{\mit i} (60 - 300)}$ OUR ESTIMATE $(1245 \pm40)−{\mit i}(300 {}^{+30}_{-70})$ 1 PELAEZ 02   RVUE Compilation $(1380 {}^{+70}_{-60})−{\mit i}(220 {}^{+80}_{-70})$ 2 PELAEZ 02   RVUE Compilation $(1370 \pm40)−{\mit i}(195 \pm20)$ SARANTSEV 02   RVUE ${{\mathit J / \psi}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}$ (${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \omega}}{{\mathit \phi}}$) $(1280.6 \pm1.6 \pm47.4) − {\mit i}(205.2 \pm1.7 \pm20.7)$ 3 ALBRECHT 02   RVUE 0.9 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit K}^{+}}{{\mathit K}^{-}}$ $(1290 \pm50)−{\mit i}(170 {}^{+20}_{-40})$ 4 ANISOVICH 00   RVUE 0.0 ${{\overline{\mathit p}}}{{\mathit p}}$, ${{\mathit \pi}}{{\mathit N}}$ $(1373 \pm15)−{\mit i}(137 \pm10)$ 5 BARGIOTTI 00   OBLX ${{\overline{\mathit p}}}{{\mathit p}}$ $(1302 \pm17)−{\mit i}(166 \pm18)$ 6 BARBERIS 00 C   450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}_{{{f}}}}$4 ${{\mathit \pi}}{{\mathit p}_{{{s}}}}$ $(1312 \pm25 \pm10)−{\mit i}(109 \pm22 \pm15)$ BARBERIS 99 D   OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$, ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ $(1406 \pm19)−{\mit i}(80 \pm6)$ 7 KAMINSKI 99   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 99 B   RVUE Compilation $(1290 \pm15)−{\mit i}(145 \pm15)$ BARBERIS 99 B   OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}$2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$) $(1548 \pm40)−{\mit i}(560 \pm40)$ BERTIN 99 C   OBLX 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ $(1380 \pm40)−{\mit i}(180 \pm25)$ ABELE 99 B   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 99   RVUE $(1330 \pm50)−{\mit i}(150 \pm40)$ 8 AMSLER 99 B   CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ $(1360 \pm35)−{\mit i}(150 - 300)$ 8 AMSLER 99 C   CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ $(1390 \pm30)−{\mit i}(190 \pm40)$ 9 AMSLER 99 D   CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$, ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$, ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ $1346−{\mit i}\text{ 249}$ 10, 11 JANSSEN 99   RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\overline{\mathit K}}}$ $1214−{\mit i}\text{ 168}$ 12, 11 TORNQVIST 99   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 99 D   CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ $(1365 {}^{+20}_{-55})−{\mit i}(134 \pm35)$ ANISOVICH 99   CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ $(1340 \pm40)−{\mit i}(127 {}^{+30}_{-20})$ 13 BUGG 99   RVUE ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$, ${{\mathit \eta}}{{\mathit \eta}}{{\mathit \pi}^{0}}$, ${{\mathit \eta}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ $(1430 \pm5)−{\mit i}(73 \pm13)$ 14 KAMINSKI 99   RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\overline{\mathit K}}}$ $1420−{\mit i}\text{ 220}$ 15 AU 98   RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\overline{\mathit K}}}$ 1  From forward dispersion relation applied to ${{\mathit \pi}}{{\mathit \pi}}$ scattering data. 2  From partial-wave dispersion relation applied to ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\overline{\mathit K}}}{{\mathit K}}$ data. 3  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 (${{\mathit \eta}}{{\mathit \eta}^{\,'}}$). 4  Another pole is found at ($1510$ $\pm130$) $−$ $\mathit i$ ($800$ ${}^{+100}_{-150}$) MeV. 5  Coupled channel analysis of ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$, ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$, and ${{\mathit K}^{\pm}}{{\mathit K}_S^0}$ ${{\mathit \pi}^{\mp}}$. 6  Average between ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$ and 2(${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$). 7  T-matrix pole on sheet $−−−$. 8  Supersedes ANISOVICH 1994. 9  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. 10  Analysis of data from FALVARD 1988. 11  The pole is on Sheet III. Demonstrates explicitly that ${{\mathit f}_{{{0}}}{(500)}}$ and ${{\mathit f}_{{{0}}}{(1370)}}$ are two different poles. 12  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. 13  Reanalysis of ANISOVICH 1994 data. 14  T-matrix pole on sheet III. 15  Analysis of data from OCHS 1973,GRAYER 1974, BECKER 1979, and CASON 1983.

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