# ${{\boldsymbol f}_{{0}}{(1370)}}$ T-MATRIX POLE POSITION INSPIRE search

Note that $\Gamma \approx{}$2 Im($\sqrt {{\mathrm {s_{{\mathrm {pole}}}}} }$).
VALUE (MeV) DOCUMENT ID TECN  COMMENT
$\bf{ (1200 - 1500)−{\mit i}(150 - 250)}$ OUR ESTIMATE
• • • We do not use the following data for averages, fits, limits, etc. • • •
$(1290 \pm50)−{\mit i}(170 {}^{+20}_{-40})$ 1
 2009
RVUE 0.0 ${{\overline{\mathit p}}}{{\mathit p}}$ , ${{\mathit \pi}}{{\mathit N}}$
$(1373 \pm15)−{\mit i}(137 \pm10)$ 2
 2003
OBLX ${{\overline{\mathit p}}}{{\mathit p}}$
$(1302 \pm17)−{\mit i}(166 \pm18)$ 3
 2000 C
450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}_{{f}}}$4 ${{\mathit \pi}}{{\mathit p}_{{s}}}$
$(1312 \pm25 \pm10)−{\mit i}(109 \pm22 \pm15)$
 1999 D
OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit K}^{+}}{{\mathit K}^{-}}$ , ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$(1406 \pm19)−{\mit i}(80 \pm6)$ 4
 1999
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit \sigma}}{{\mathit \sigma}}$
$(1300 \pm20)−{\mit i}(120 \pm20)$
 1998 B
RVUE Compilation
$(1290 \pm15)−{\mit i}(145 \pm15)$
 1997 B
OMEG 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}$2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$)
$(1548 \pm40)−{\mit i}(560 \pm40)$
 1997 C
OBLX 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$
$(1380 \pm40)−{\mit i}(180 \pm25)$
 1996 B
CBAR 0.0 ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit K}_L^0}$ ${{\mathit K}_L^0}$
$(1300 \pm15)−{\mit i}(115 \pm8)$
 1996
RVUE
$(1330 \pm50)−{\mit i}(150 \pm40)$ 5
 1995 B
CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$
$(1360 \pm35)−{\mit i}(150 - 300)$ 5
 1995 C
CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$
$(1390 \pm30)−{\mit i}(190 \pm40)$ 6
 1995 D
CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$ , ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$
$1346−{\mit i}\text{ 249}$ 7, 8
 1995
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$
$1214−{\mit i}\text{ 168}$ 9, 8
 1995
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$ , ${{\mathit K}}{{\mathit \pi}}$ , ${{\mathit \eta}}{{\mathit \pi}}$
$1364−{\mit i}\text{ 139}$
 1994 D
CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}}$
$(1365 {}^{+20}_{-55})−{\mit i}(134 \pm35)$
 1994
CBAR ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}}$
$(1340 \pm40)−{\mit i}(127 {}^{+30}_{-20})$ 10
 1994
RVUE ${{\overline{\mathit p}}}$ ${{\mathit p}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ , ${{\mathit \eta}}{{\mathit \eta}}{{\mathit \pi}^{0}}$ , ${{\mathit \eta}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$
$(1430 \pm5)−{\mit i}(73 \pm13)$ 11
 1994
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$
$1420−{\mit i}\text{ 220}$ 12
 1987
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$ , ${{\mathit K}}{{\overline{\mathit K}}}$
1  Another pole is found at ($1510$ $\pm130$) $−$ $\mathit i$ ($800$ ${}^{+100}_{-150}$) MeV.
2  Coupled channel analysis of ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}$ , ${{\mathit K}^{+}}{{\mathit K}^{-}}{{\mathit \pi}^{0}}$ , and ${{\mathit K}^{\pm}}{{\mathit K}_S^0}$ ${{\mathit \pi}^{\mp}}$ .
3  Average between ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$2 ${{\mathit \pi}^{0}}$ and 2( ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ ).
4  T-matrix pole on sheet $−−−$.
5  Supersedes ANISOVICH 1994 .
6  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.
7  Analysis of data from FALVARD 1988 .
8  The pole is on Sheet III. Demonstrates explicitly that ${{\mathit f}_{{0}}{(500)}}$ and ${{\mathit f}_{{0}}{(1370)}}$ are two different poles.
9  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.
10  Reanalysis of ANISOVICH 1994 data.
11  T-matrix pole on sheet III.
12  Analysis of data from OCHS 1973 ,GRAYER 1974 , BECKER 1979 , and CASON 1983 .
References:
 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 1995B
PL B342 433 High Statistical Study of ${{\mathit f}_{{0}}{(1500)}}$ Decay into ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$
 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 ${{\mathit \eta}}{{\mathit \eta}}$
 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 $\mathit I\mathit G(\mathit J{}^{PC}) = 1{}^{-}(0{}^{++})$ 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