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

2012/08/31 by Denis Parganlija, Péter Kovács, Peter Kovacs +4 · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Hadron #Isospin #Meson #Nonlinear system #Particle physics #Particle physics theoretical and experimental studies #Phenomenology (philosophy) #Physics #Pseudoscalar #Pseudovector #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quantum number #Scalar (mathematics) #Scalar meson #Sigma model #Vector meson #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.87.014011

29 pages, 4 figures, 3 tables. v2 is the updated version after referee remarks (dilaton field discussed, a new figure added)

openalex publication_date 2013/01/08 · arxiv created 2013/01/16 · arxiv updated 2015/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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(N_f)_L\ifmmode×\else\texttimes\fiU(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 qq states lie below or above 1 GeV and find the scalar states above 1 GeV to be preferred as qq states. Additionally, we also describe the axial-vector resonances as qq states.

Citations

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Cited by

• Light vector and axial mesons effective couplings to constituent quarks
• Mesons, PANDA and the scalar glueball
• New Physics of Strong Interaction and Dark Universe
• Three-flavor chiral effective model with four baryonic multiplets within the mirror assignment
• Decays of open charmed mesons in the extended Linear Sigma Model
• Pseudoscalar meson and vector meson interactions and dynamically generated axial-vector mesons
• Linear sigma model for multiflavor gauge theories