On nature of the scalar-isoscalar mesons in the uniformizing-variable method based on analyticity and unitarity

Abstract

The experimental data on the processes $\pi \pi \to \pi \pi ,K\bar{K},\eta \eta ,\eta {\eta }^{\prime }$ in the $I^G{J}^{PC}=0^{+}{0}^{++}$ channel have been jointly analyzed to study the status and nature of the $f_0$. The method of analysis is based on analyticity and unitarity and uses an uniformization procedure. Some spectroscopic implications from results of the analysis are discussed.

18 pages, 5 figures, 9 tables

References in corpus (12)

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• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics
• Gluonium nature of the sigma/f_0(600) from its coupling to KK
• Scalar-isoscalar states in the large-Nc Regge approach
• Lattice status of gluonia/glueballs

Cited by in corpus (15)

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• Modified $\pi \pi$ amplitude with $\sigma$ pole
• Masses and widths of scalar-isoscalar multi-channel resonances from data analysis
• Can parameters of f_0-mesons be determined correctly analyzing only pion-pion scattering?
• Parameters of scalar resonances from the combined analysis of data on processes $\pi \pi \to \pi \pi ,K\bar{K},\eta \eta$ and $J/\psi$ decays
• QCD sum rule study on the $f_0(980)$ structure as a pure $K\bar{K}$ bound state
• Analytic Map of Three-Channel S Matrix -Generalized Uniformization and Mittag-Leffler Expansion-
• Role of multichannel pi pi scattering in decays of bottomia
• Unified description of BaBar and Belle data on the bottomonia decays Upsilon(mS) -> Upsilon(nS) pi+ pi-
• Effect of the $K\overline{K}$ and $\eta \eta$ channels and interference phenomena in the two-pion and $K\overline{K}$ transitions of charmonia and bottomonia
• Improvement of multichannel amplitudes for the pion-pion scattering using the dispersion relations
• Coupled-channel analysis of the process $\gamma \gamma \to {\pi }^0{\pi }^0$
• Effect of coupled channels of the multi-channel pion-pion scattering in two-pion transitions of the ${\rm Y}$ mesons
• Effect of the $\eta \eta$ channel and interference phenomena in the two-pion transitions of charmonia and bottomonia