Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2001-03-05
J.Phys. G27 (2001) 1561-1576
Physics
Nuclear Physics
Nuclear Theory
23 pages with 9 figures
Scientific paper
10.1088/0954-3899/27/7/314
We derive the equation of state for hot nuclear matter using Walecka model in a nonperturbative formalism. We include here the vacuum polarisation effects arising from the nucleon and scalar mesons through a realignment of the vacuum. A ground state structure with baryon-antibaryon condensates yields the results obtained through the relativistic Hartree approximation (RHA) of summing baryonic tadpole diagrams. Generalization of such a state to include the quantum effects for the scalar meson fields through the $\sigma$-meson condensates amounts to summing over a class of multiloop diagrams. The techniques of thermofield dynamics (TFD) method are used for the finite temperature and finite density calculations. The in-medium nucleon and sigma meson masses are also calculated in a self consistent manner. We examine the liquid-gas phase transition at low temperatures ($\approx$ 20 MeV), as well as apply the formalism to high temperatures to examine for a possible chiral symmetry restoration phase transition.
Greiner Walter
Mishra Amruta
Panda Prafulla Kumar
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