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

INSPIRE JSON (beta) PDGID:

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

VALUE (MeV)

DOCUMENT ID

TECN

COMMENT

$\bf{ (1250 - 1440) −{\mit i} (60 - 300)}$

OUR ESTIMATE

$(1245 \pm40)−{\mit i}(300 {}^{+30}_{-70})$

RVUE

Compilation

$(1380 {}^{+70}_{-60})−{\mit i}(220 {}^{+80}_{-70})$

RVUE

Compilation

$(1370 \pm40)−{\mit i}(195 \pm20)$

RVUE

${{\mathit J / \psi}{(1S)}}$ $\rightarrow$ ${{\mathit \gamma}}$ (${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \omega}}{{\mathit \phi}}$)

$(1280.6 \pm1.6 \pm47.4) − {\mit i}(205.2 \pm1.7 \pm20.7)$

RVUE

0.9 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit K}^{+}}{{\mathit K}^{-}}$

$(1290 \pm50)−{\mit i}(170 {}^{+20}_{-40})$

RVUE

0.0 ${{\overline{\mathit p}}}{{\mathit p}}$, ${{\mathit \pi}}{{\mathit N}}$

$(1373 \pm15)−{\mit i}(137 \pm10)$

OBLX

${{\overline{\mathit p}}}{{\mathit p}}$

$(1302 \pm17)−{\mit i}(166 \pm18)$

450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}_{{{f}}}}$4 ${{\mathit \pi}}{{\mathit p}_{{{s}}}}$

$(1312 \pm25 \pm10)−{\mit i}(109 \pm22 \pm15)$

OMEG

450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$, ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

$(1406 \pm19)−{\mit i}(80 \pm6)$

RVUE

${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\overline{\mathit K}}}$, ${{\mathit \sigma}}{{\mathit \sigma}}$

$(1300 \pm20)−{\mit i}(120 \pm20)$

RVUE

Compilation

$(1290 \pm15)−{\mit i}(145 \pm15)$

OMEG

450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}$2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$)

$(1548 \pm40)−{\mit i}(560 \pm40)$

OBLX

0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$

$(1380 \pm40)−{\mit i}(180 \pm25)$

CBAR

0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit K}_L^0}$ ${{\mathit K}_L^0}$

$(1300 \pm15)−{\mit i}(115 \pm8)$

RVUE

$(1330 \pm50)−{\mit i}(150 \pm40)$

CBAR

${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$

$(1360 \pm35)−{\mit i}(150 - 300)$

CBAR

${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$

$(1390 \pm30)−{\mit i}(190 \pm40)$

CBAR

${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$, ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$, ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$

$1346−{\mit i}\text{ 249}$

RVUE

${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\overline{\mathit K}}}$

$1214−{\mit i}\text{ 168}$

RVUE

${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\overline{\mathit K}}}$, ${{\mathit K}}{{\mathit \pi}}$, ${{\mathit \eta}}{{\mathit \pi}}$

$1364−{\mit i}\text{ 139}$

CBAR

${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$

$(1365 {}^{+20}_{-55})−{\mit i}(134 \pm35)$

CBAR

${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$

$(1340 \pm40)−{\mit i}(127 {}^{+30}_{-20})$

RVUE

${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$, ${{\mathit \eta}}{{\mathit \eta}}{{\mathit \pi}^{0}}$, ${{\mathit \eta}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$

$(1430 \pm5)−{\mit i}(73 \pm13)$

RVUE

${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$, ${{\mathit K}}{{\overline{\mathit K}}}$

$1420−{\mit i}\text{ 220}$

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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