A low-lying scalar meson nonet in a unitarized meson model

Abstract

A unitarized nonrelativistic meson model which is successful for the description of the heavy and light vector and pseudoscalar mesons yields, in its extension to the scalar mesons but for the same model parameters, a complete nonet below 1 GeV. In the unitarization scheme, real and virtual meson-meson decay channels are coupled to the quark-antiquark confinement channels. The flavor-dependent harmonic-oscillator confining potential itself has bound states epsilon(1.3 GeV), S(1.5 GeV), delta(1.3 GeV), kappa(1.4 GeV), similar to the results of other bound-state qqbar models. However, the full coupled-channel equations show poles at epsilon(0.5 GeV), S(0.99 GeV), delta(0.97 GeV), kappa(0.73 GeV). Not only can these pole positions be calculated in our model, but also cross sections and phase shifts in the meson-scattering channels, which are in reasonable agreement with the available data for pion-pion, eta-pion and Kaon-pion in S-wave scattering.

A slightly revised version of Zeitschrift fuer Physik C30, 615 (1986)

Cited by in corpus (9)

• Decay channels and charmonium mass-shifts
• On the spectral functions of scalar mesons
• The $N^{\ast }(1710)$ as a resonance in the $\pi \pi N$ system
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• Glueball nature of the sigma/f_0(600) from pi-pi and gamma-gamma scatterings
• Two chiral nonet model with massless quarks
• On the role of meson loops in the $f_0(1710)$ decay into $V\gamma$
• Meson and tetra-quark mixing
• Constituent and current quark masses at low chiral energies