${{\boldsymbol f}_{{0}}{(500)}}$ BREIT-WIGNER MASS OR K-MATRIX POLE PARAMETERS INSPIRE search

2001

${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \Upsilon}}{{\mathit \pi}}{{\mathit \pi}}$

$555$

ASNER

2000

CLE2

${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$

$540$ $\pm36$

2000

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

$750$ $\pm4$

ALEKSEEV

1999

SPEC

1.78 ${{\mathit \pi}^{-}}{{\mathit p}}_{{\mathrm {polar}}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit n}}$

$744$ $\pm5$

ALEKSEEV

1998

SPEC

1.78 ${{\mathit \pi}^{-}}{{\mathit p}}_{{\mathrm {polar}}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit n}}$

$759$ $\pm5$

⁴

TROYAN

1998

$5.2$ ${{\mathit n}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit n}}{{\mathit p}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

$780$ $\pm30$

ALDE

GAM2

450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$

$585$ $\pm20$

⁵

${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$

$761$ $\pm12$

⁶

SVEC

RVUE

$6 - 17$ ${{\mathit \pi}}$ ${{\mathit N}}$ $_{{\mathrm {polar}}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit N}}$

$\sim$$860$

⁷ ^{, 8}

TORNQVIST

RVUE

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

$1165$ $\pm50$

⁹ ^{, 10}

ANISOVICH

1995

RVUE

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

$\sim$$1000$

¹¹

ACHASOV

1994

RVUE

${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$

$414$ $\pm20$

⁶

AUGUSTIN

1989

DM2

¹ Statistical uncertainty only.

² A similar analysis (KOMADA 2001 ) finds $526$ ${}^{+48}_{-37}$ MeV.

³ From the best fit of the Dalitz plot.

⁴ 6$\sigma $ effect, no PWA.

⁵ Reanalysis of data from HYAMS 1973 , GRAYER 1974 , SRINIVASAN 1975 , and ROSSELET 1977 using the interfering amplitude method.

⁶ Breit-Wigner fit to S-wave intensity measured in ${{\mathit \pi}}$ ${{\mathit N}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit N}}$ on polarized targets. The fit does not include ${{\mathit f}_{{0}}{(980)}}$.

⁷ Uses data from ASTON 1988 , OCHS 1973 , HYAMS 1973 , ARMSTRONG 1991B, GRAYER 1974 , CASON 1983 , ROSSELET 1977 , and BEIER 1972B. Coupled channel analysis with flavor symmetry and all light two-pseudoscalars systems.

⁸ Also observed by ASNER 2000 in ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$ decays.

⁹ Uses ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ data from ANISOVICH 1994 , AMSLER 1994D, and ALDE 1995B, ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ data from OCHS 1973 , GRAYER 1974 and ROSSELET 1977 , and ${{\mathit \eta}}{{\mathit \eta}}$ data from ANISOVICH 1994 .

¹⁰ The pole is on Sheet III. Demonstrates explicitly that ${{\mathit f}_{{0}}{(500)}}$ and ${{\mathit f}_{{0}}{(1370)}}$ are two different poles.

¹¹ Analysis of data from OCHS 1973 , ESTABROOKS 1975 , ROSSELET 1977 , and MUKHIN 1980 .

References:

MURAMATSU

2002

PRL 89 251802

Dalitz Analysis of ${{\mathit D}^{0}}$ $\rightarrow$ ${{\mathit K}_S^0}$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$

AITALA

2001B

PRL 86 770

Experimental Evidence for a Light and Broad Scalar Resonance in ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}$ Decay

2001

PL B518 47

The ${{\mathit \sigma}}$ Meson Production in Excited ${{\mathit \Upsilon}}$ Decay Processes: Constraint from Chiral Symmetry

ASNER

2000

PR D61 012002

Hadronic Structure in the Decay ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \nu}_{{\tau}}}{{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ and the Sign of the ${{\mathit \nu}_{{\tau}}}$ Helicity

2000B

PTP 104 203

Effect of Light ${{\mathit \sigma}}$ Meson Production in ${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ 3 ${{\mathit \pi}^{0}}$ at Rest

ALEKSEEV

1999

NP B541 3

Study of the Reaction ${{\mathit \pi}^{-}}$ ${{\mathit p}}$ $↑$ $\rightarrow$ ${{\mathit \pi}^{-}}$ ${{\mathit \pi}^{+}}$ ${{\mathit n}}$ on a Polarized Proton Target at 17.78 GeV/$\mathit c$. Experiment and Amplitude Analysis

PAN 61 174

JINRRC 5-91 33

The Evidence of ${{\mathit \sigma}}_{0{}^{+}0{}^{++}}$ Meson at a Mass M$_{{{\mathit \pi}^{+}} {{\mathit \pi}^{-}}}$ = ($759$ $\pm5$) ${\mathrm {MeV}}/\mathit c{}^{2}$ Observed in ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ Combinations from the Reaction ${{\mathit n}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit n}}{{\mathit p}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$ at an Incident Moment of ${{\mathit p}}_{n}$ (5.20 $\pm{}$ 0.16) GeV/$\mathit c$

ALDE

PL B397 350

Study of the ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ System in ${{\mathit p}}{{\mathit p}}$ Central Collisions at 450 ${\mathrm {GeV/}}\mathit c$

PTP 98 1005

Further Analysis on sigma Particle Properties

SVEC

PR D53 2343

Study of ${{\mathit \sigma}{(750)}}$ and ${{\mathit \rho}{(770)}^{0}}$ Production in Measurements of ${{\mathit \pi}}$ ${{\mathit N}}$ $↑$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit N}}$ on a Polarized Target at 5.98, 11.85, and 17.2 ${\mathrm {GeV/}}\mathit c$

TORNQVIST