The light scalar mesons within quark models

Abstract

Low-energy meson-meson scattering data are a powerful testing ground for quark models. Here, we describe the behaviour at threshold of S-wave scattering-matrix singularities. The majority of the full scattering-matrix mesonic poles stem from an underlying confinement spectrum. However, the light scalar mesons K0*(830), a0(980), f0(400-1200), and f0(980) do not, but instead originate in 3P0-barrier semi-bound states. We show that the behaviour of the corresponding poles is identical at threshold. In passing, the light-meson sector is given a firm basis.

Plain LaTeX, 16 pages Contribution to the Second International Workshop on Hadron Physics, Effective Theories of Low Energy QCD, 25-29 September, 2002 (Coimbra, Portugal)

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• K-matrix analysis of the (IJ^{PC}=00^{++})-wave in the mass region below 1900 MeV
• The origins of quark-hadron duality: How does the square of the sum become the sum of the squares?
• Scalar Mesons within a model for all non-exotic mesons
• Light Hadron Spectroscopy: Theory and Experiment
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• How Resonances can synchronise with Thresholds
• Effects of S-wave thresholds
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• Decays of sigma, kappa, a0(980) and fo(980)
• Multichannel calculation for Ds* vector states and the Ds(2632) resonance
• Long distance expansion for the NJL model with SU(3) and U_A(1) breaking
• Properties of light resonances from unitarized Chiral perturbation theory: Nc behavior and quark mass dependence
• Threshold behavior of scattering poles
• The $({\pi }^{-},\gamma \gamma )$ reaction in nuclei and the $\sigma$ meson in the medium
• Chiral Extrapolation of light resonances from Unitarized Chiral Perturbation Theory