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

D. Parganlija1,2,*, P. Kovács2,3,†, Gy. Wolf3,‡, F. Giacosa2,§, and D. H. Rischke2,4,∥

  • 1Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10, A-1040 Vienna, Austria
  • 2Institute for Theoretical Physics, Johann Wolfgang Goethe University, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main, Germany
  • 3Institute for Particle and Nuclear Physics, Wigner Research Center for Physics, Hungarian Academy of Sciences, H-1525 Budapest, Hungary
  • 4Frankfurt Institute for Advanced Studies, Ruth-Moufang-Strasse 1, D-60438 Frankfurt am Main, Germany

  • *denisp@hep.itp.tuwien.ac.at
  • †kovacs.peter@wigner.mta.hu
  • ‡wolf.gyorgy@wigner.mta.hu
  • §giacosa@th.physik.uni-frankfurt.de
  • ∥drischke@th.physik.uni-frankfurt.de
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Phys. Rev. D 87, 014011 – Published 8 January, 2013

DOI: https://doi.org/10.1103/PhysRevD.87.014011

Abstract

We study scalar, pseudoscalar, vector, and axial-vector mesons with nonstrange and strange quantum numbers in the framework of a linear sigma model with global chiral U(Nf)L×U(Nf)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 q¯q states lie below or above 1 GeV and find the scalar states above 1 GeV to be preferred as q¯q states. Additionally, we also describe the axial-vector resonances as q¯q states.

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Vacuum properties of mesons in a linear sigma model with vector mesons and global chiral invariance

Denis Parganlija, Francesco Giacosa, and Dirk H. Rischke
Phys. Rev. D 82, 054024 (2010)

Article Text

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Phys. Rev. D 87, 014011– Published 8 January, 2013
  • Received 7 August 2012

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