Two photon couplings of the lightest isoscalars from BELLE data

Abstract

Amplitude Analysis of two photon production of $\pi \pi$ and $\overline{K}K$, using S-matrix constraints and fitting all available data, including the latest precision results from Belle, yields a single partial wave solution up to 1.4 GeV. The two photon couplings of the $\sigma /f_0(500)$, $f_0(980)$ and $f_2(1270)$ are determined from the residues of the resonance poles.

arXiv comment11 pages, 3 figures, extended for details

References in corpus (34)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• The pion-pion scattering amplitude
• Roy-Steiner equations for gamma gamma -> pi pi
• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• High statistics study of f_0(980) resonance in gamma gamma --> pi^+ pi^- production
• Search for direct CP violating charge asymmetries in $K^{\pm }\to {\pi }^{\pm }{\pi }^{+}{\pi }^{-}$ and $K^{\pm }\to {\pi }^{\pm }{\pi }^0{\pi }^0$ decays
• High-statistics measurement of neutral-pion pair production in two-photon collisions
• High-statistics measurement of neutral-pion pair production in two-photon collisions
• Two-photon decays of hadronic molecules
• High statistics measurement of the cross sections of gamma gamma -> pi^+ pi^- production
• Dalitz plot analysis of Ds+ --> K+ K- pi+
• Amplitude Analysis of High Statistics Results on $\gamma \gamma \to {\pi }^{+}{\pi }^{-}$ and the Two Photon Width of Isoscalar States
• Improved dispersion relations for γγ\to π^0π^0
• Measurement of K^+K^- production in two-photon collisions in the resonant-mass region
• High-statistics study of neutral-pion pair production in two-photon collisions
• Chiral Perturbation Theory, the $1/N_c$ expansion and Regge behaviour determine the structure of the lightest scalar meson
• Lightest scalar and tensor resonances in $\gamma \gamma \to \pi \pi$ after the Belle experiment
• Dalitz Plot Analysis of D_s+ -> pi+ pi- pi+
• Two photons into π^0π^0
• The pion-pion scattering amplitude. II: Improved analysis above $\bar{K}K$ threshold
• The analytical $\pi \pi$ scattering amplitude and the light scalars
• Light Scalar Mesons in Photon-Photon Collisions
• High-statistics study of K^0_S pair production in two-photon collisions
• A Dispersive Analysis on the $f_0(600)$ and $f_0(980)$ Resonances in $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ Processes
• Scalars in the hadron world: the Higgs sector of the strong interaction
• Lightest Scalar Resonances and the Dynamics of the γγ\toππReactions
• Light $O^{++}$ Mesons: Scalargators in Florida
• Measurement of neutral pion pair production in two-photon collisions
• f0(980) and a0(980) resonances near γγ\to K^+K^- and γγ\to K^0\bar K^0 reaction thresholds

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