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 (250)

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• Relativistic Friedrichs-Lee model and quark-pair creation model
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• Constituent and current quark masses at low chiral energies
• Chiral Nonet Mixing in $\pi K$ Scattering
• Comment on Intrinsic and dynamically generated scalar meson states
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• Scalar $a_0(980)$ meson in $\varphi \to {\pi }^0\eta \gamma$ decay
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• The $\omega \sigma \gamma$-vertex in light cone QCD sum rules
• Chiral Shielding
• The unquenched quark model
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• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• Comment on "Scrutinizing pion-pion scattering in light of recent lattice phase shifts"
• On the low energy end of the QCD spectrum
• Pion-Pion Scattering in Two Dimensions
• Sigma meson in QCD sum rules using a two quark current with derivatives
• Second resonance of the Higgs field: motivations, experimental signals, unitarity constraints
• Impressions of the Meson Spectrum: Hybrids & Exotics, present and future
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• Comment on the "Coupling Constant and Quark Loop Expansion for Corrections to the Valence Appeoximation" by Lee and Weingarten
• Diquark correlations in baryons: the Interacting Quark Diquark Model
• Hadron Spectroscopy in the Unquenched Quark Model
• The unquenched quark model
• Drawbacks of applying perturbative schemes to meson spectroscopy
• The $Y(4260)$ and $Y(4360)$ enhancements within coupled-channels
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