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Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons

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arxiv 1208.0585 v2 pith:6NM6SS2B submitted 2012-08-02 hep-ph nucl-th

Denis Parganlija (Vienna , Tech. U. , Frankfurt U.) , Peter Kovacs (Frankfurt U. , Budapest , RMKI) , Gyorgy Wolf (Budapest , Francesco Giacosa (Frankfurt U.)
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Dirk H. Rischke (Frankfurt U. Frankfurt U. FIAS)
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classification hep-phnucl-th
keywords statesmodelscalaraboveaxial-vectordecaygloballinear
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abstract

We study scalar, pseudoscalar, vector, and axial-vector mesons with non-strange and strange quantum numbers in the framework of a linear sigma model with global chiral $U(N_f)_L \times U(N_f)_R$ symmetry. We perform a global fit of meson masses, decay widths, as well as decay amplitudes. The quality of the fit is, for a hadronic model that does not consider isospin-breaking effects, surprisingly good. We also investigate the question whether the scalar $\bar{q}q$ states lie below or above 1 GeV and find the scalar states above 1 GeV to be preferred as $\bar{q}q$ states. Additionally, we also describe the axial-vector resonances as $\bar{q}q$ states.

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Cited by 2 Pith papers

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