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

Journal Article · · Physical Review. D, Particles Fields
 [1];  [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, Vol. 79, Issue 7; Other Information: DOI: 10.1103/PhysRevD.79.074011; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English

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