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

Journal Article · Wed Sep 01 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.054024· OSTI ID:21432976

Parganlija, Denis; Giacosa, Francesco ^[1]; Rischke, Dirk H ^[1]

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1. Institute for Theoretical Physics, Johann Wolfgang Goethe University, Max-von-Laue-Strasse 1, D-60438 Frankfurt am Main (Germany)

We present a two-flavor linear sigma model with global chiral symmetry and vector and axial-vector mesons. We calculate {pi}{pi} scattering lengths and the decay widths of scalar, vector, and axial-vector mesons. It is demonstrated that vector and axial-vector meson degrees of freedom play an important role in these low-energy processes and that a reasonable theoretical description requires globally chirally invariant terms other than the vector-meson mass term. An important question for meson vacuum phenomenology is the quark content of the physical scalar f{sub 0}(600) and a{sub 0}(980) mesons. We investigate this question by assigning the quark-antiquark {sigma} and a{sub 0} states of our model with these physical mesons. We show via a detailed comparison with experimental data that this scenario can describe all vacuum properties studied here except for the decay width of the {sigma}, which turns out to be too small. We also study the alternative assignment f{sub 0}(1370) and a{sub 0}(1450) for the scalar mesons. In this case the decay width agrees with the experimental value, but the {pi}{pi} scattering length a{sub 0}{sup 0} is too small. This indicates the necessity to extend our model by additional scalar degrees of freedom.

• OSTI ID: 21432976
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
A0-980 MESONS
AXIAL VECTOR MESONS
BOSON-EXCHANGE MODELS
BOSONS
CHIRAL SYMMETRY
CHIRALITY
COMPARATIVE EVALUATIONS
COMPOSITE MODELS
COMPUTERIZED SIMULATION
DECAY
DEGREES OF FREEDOM
DIMENSIONS
ELEMENTARY PARTICLES
EVALUATION
FERMIONS
FLAVOR MODEL
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LENGTH
MASS
MATHEMATICAL MODELS
MESON-MESON INTERACTIONS
MESONS
PARTICLE DECAY
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
PION-PION INTERACTIONS
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
QUARKS
SCALAR MESONS
SCATTERING LENGTHS
SIGMA MODEL
SIMULATION
SYMMETRY
VECTOR MESONS