# ${{\boldsymbol f}_{{0}}{(500)}}$ BREIT-WIGNER WIDTH INSPIRE search

VALUE (MeV) DOCUMENT ID TECN  COMMENT
$\bf{ \text{(400 - 700)}}$ OUR ESTIMATE
• • • We do not use the following data for averages, fits, limits, etc. • • •
$335$ $\pm67$ 1
 2002
CLEO ${{\mathit e}^{+}}{{\mathit e}^{-}}$ $\approx{}$ 10 GeV
$324$ ${}^{+42}_{-40}$ $\pm21$
 2001 B
E791 ${{\mathit D}^{+}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit \pi}^{+}}$
$372$ ${}^{+229}_{-95}$ 2
 2001
${{\mathit \Upsilon}{(3S)}}$ $\rightarrow$ ${{\mathit \Upsilon}}{{\mathit \pi}}{{\mathit \pi}}$
$540$ 3
 2000
CLE2 ${{\mathit \tau}^{-}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \nu}_{{\tau}}}$
$372$ $\pm80$
 2000 B
${{\mathit p}}$ ${{\overline{\mathit p}}}$ $\rightarrow$ ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$
$119$ $\pm13$
 1999
SPEC 1.78 ${{\mathit \pi}^{-}}{{\mathit p}}_{{\mathrm {polar}}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit n}}$
$77$ $\pm22$
 1998
SPEC 1.78 ${{\mathit \pi}^{-}}{{\mathit p}}_{{\mathrm {polar}}}$ $\rightarrow$ ${{\mathit \pi}^{-}}{{\mathit \pi}^{+}}{{\mathit n}}$
$35$ $\pm12$ 4
 1998
$5.2$ ${{\mathit n}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit n}}{{\mathit p}}{{\mathit \pi}^{+}}{{\mathit \pi}^{-}}$
$780$ $\pm60$
 1997
GAM2 450 ${{\mathit p}}$ ${{\mathit p}}$ $\rightarrow$ ${{\mathit p}}{{\mathit p}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$
$385$ $\pm70$ 5
 1997
${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$
$290$ $\pm54$ 6
 1996
RVUE $6 - 17$ ${{\mathit \pi}}$ ${{\mathit N}}$ $_{{\mathrm {polar}}}$ $\rightarrow$ ${{\mathit \pi}^{+}}{{\mathit \pi}^{-}}{{\mathit N}}$
$\sim$$880 7, 8  1996 RVUE {{\mathit \pi}} {{\mathit \pi}} \rightarrow {{\mathit \pi}}{{\mathit \pi}} , {{\mathit K}}{{\overline{\mathit K}}} , {{\mathit K}}{{\mathit \pi}} , {{\mathit \eta}}{{\mathit \pi}} 460 \pm40 9, 10  1995 RVUE {{\mathit \pi}^{-}} {{\mathit p}} \rightarrow {{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit n}} , {{\overline{\mathit p}}} {{\mathit p}} \rightarrow {{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \pi}^{0}} , {{\mathit \pi}^{0}}{{\mathit \pi}^{0}}{{\mathit \eta}} , {{\mathit \pi}^{0}}{{\mathit \eta}}{{\mathit \eta}} \sim$$3200$ 11
 1994
RVUE ${{\mathit \pi}}$ ${{\mathit \pi}}$ $\rightarrow$ ${{\mathit \pi}}{{\mathit \pi}}$
$494$ $\pm58$ 6
 1989
DM2
1  Statistical uncertainty only.
2  A similar analysis (KOMADA 2001 ) finds $301$ ${}^{+145}_{-100}$ 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
 ISHIDA 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
 ISHIDA 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
 ALEKSEEV 1998
PAN 61 174 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
 TROYAN 1998
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 1997
PL B397 350 Study of the ${{\mathit \pi}^{0}}{{\mathit \pi}^{0}}$ System in ${{\mathit p}}{{\mathit p}}$ Central Collisions at 450 ${\mathrm {GeV/}}\mathit c$
 ISHIDA 1997
PTP 98 1005 Further Analysis on sigma Particle Properties
 SVEC 1996
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 1996
PRL 76 1575 Resurrection of the ${{\mathit \sigma}}$ Meson
 ANISOVICH 1995
PL B355 363 Two Resonance Structure of the ($\mathit I(\mathit J{}^{PC}) = 0(0{}^{++})$) ${{\mathit \pi}}{{\mathit \pi}}$ Amplitude in Mass Region around 1 GeV
 ACHASOV 1994
PR D49 5779 Phenomenological $\sigma$ Models
 AUGUSTIN 1989
NP B320 1 Study of the ${{\mathit J / \psi}}$ Decay into Five Pions