Mesonic excitations and {pi}-{pi} scattering lengths at finite temperature in the two-flavor Polyakov-Nambu-Jona-Lasinio model

Journal Article · Wed Apr 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.074011· OSTI ID:21308165

Weijie, Fu ^[1]; Yuxin, Liu ^[1]

---

1. Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871 (China)

The mesonic excitations and s-wave {pi}-{pi} scattering lengths at finite temperature are studied in the two-flavor Polyakov-Nambu-Jona-Lasinio (PNJL) model. The masses of the {pi} and {sigma} mesons, pion-decay constant, the pion-quark coupling strength, and the scattering lengths a{sub 0} and a{sub 2} at finite temperature are calculated in the PNJL model with two forms of Polyakov-loop effective potential. The obtained results are almost independent of the choice of the effective potentials. The calculated results in the PNJL model are also compared with those in the conventional Nambu-Jona-Lasinio model and indicate that the effect of color confinement screens the effect of temperature below the critical one in the PNJL model. Furthermore, the Goldberger-Treiman relation and the Gell-Mann-Oakes-Renner relation are extended to the case at finite temperature in the PNJL model.

• OSTI ID: 21308165
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFINEMENT
COUPLING
EXCITATION
GOLDBERGER-TREIMAN RELATION
MASS
MESONS
PARTICLE DECAY
PION-PION INTERACTIONS
PIONS
POTENTIALS
QUARKS
S WAVES
SCATTERING LENGTHS
SIMULATION