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 (47)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Mass and width of the lowest resonance in QCD
• Scalar mesons above and below 1 GeV
• Resurrection of the Sigma Meson
• Is $f_0(1500)$ a Scalar Glueball?
• Resonances in $J/\psi \to \varphi {\pi }^{+}{\pi }^{-}$ and $\varphi K^{+}{K}^{-}$
• Systematics of q anti-q states in the (n,M^2) and (J,M^2) planes
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• Four Sorts of Mesons
• Masses, decays and mixings of gluonia in QCD
• Precise determination of the f0(600) and f0(980) pole parameters from a dispersive data analysis
• Scalar Quarkonium Masses and Mixing with the Lightest Scalar Glueball
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Identification of a Scalar Glueball
• Scalar nonet quarkonia and the scalar glueball: mixing and decays in an effective chiral approach
• Dalitz Analysis of the Decay $D^0\to K^{-}{\pi }^{+}{\pi }^0$
• Scalar Glueball-qqbar Mixing above 1 GeV and implications for Lattice QCD
• Evidence for kappa Meson Production in J/psi -> bar{K}^*(892)^0K^+pi^- Process
• Chiral Suppression of Scalar Glueball Decay
• Evidence for new interference phenomena in the decay D+ to K- pi+ mu+ nu
• A Study in Depth of f0(1370)
• There is no $\kappa (900)$
• An improved study of the kappa resonance and the non-exotic $s$ wave $\pi K$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data
• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• The kappa in E791 data for D->K-pi-pi
• Dalitz plot analysis of the D+ to K-pi+pi+ decay in the FOCUS experiment
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics
• Gluonium nature of the sigma/f_0(600) from its coupling to KK
• Amplitude Analysis of the decay D^0 --> K^- K^+ pi^0
• Exotic mesons, locking states and their role in the formation of the confinement barrier
• Search for the glueball candidates f0(1500) and fJ(1710) in gamma gamma collisions
• On nature of scalar a_0(980) and f_0(980)-mesons
• Hadronic Mass Spectrum Analysis of D+ into K- pi+ mu+ nu Decay and Measurement of the K*(892)^0 Mass and Width
• Measurement of Interfering K^*+K^- and K^*-K^+ Amplitudes in the Decay D^0 --> K^+K^-pi^0
• Scalar-isoscalar states in the large-Nc Regge approach
• The lightest scalar glueball
• Determination of hadronic partial widths for scalar-isoscalar resonances f0(980), f0(1300), f0(1500), f_0(1750) and the broad state f0(1530^{+90}_{-250})
• The glueball among the light scalar mesons
• Lattice status of gluonia/glueballs
• On the scalar nonet lowest in mass
• Scalar mesons and low-mass sigma: Does the $\sigma$ reveal the confinement singularity?
• The two-pion spectra for the reaction π^- p -> π^0π^0 n at 38 GeV/c pion momentum and combined analysis of the GAMS, Crystal Barrel and BNL data
• Existence of the $\sigma$-meson below 1 GeV and $f_0(1500)$ glueball
• No indication of f0(1370) in pi pi phase shift analyses
• Nonet Classification of Scalar/Isoscalar Resonances in the Mass Region below 1900 MeV: Observation of the Lightest Scalar Glueball

Cited by in corpus (15)

• Chiral Symmetry Breaking and Meson Wave Functions in Soft-Wall AdS/QCD
• Limits on Lepton Flavor Violation from μ-e-conversion
• 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