Pair Fluctuations in Ultra-small Fermi Systems within Self-Consistent RPA at Finite Temperature

Details Pair Fluctuations in Ultra-small Fermi Systems within Self-Consistent RPA at Finite Temperature Pair Fluctuations in Ultra-small Fermi Systems within Self-Consistent RPA at Finite Temperature

2003-02-05

arxiv.org/abs/nucl-th/0302010v2

Annals Phys. 307 (2003) 308-334

Physics

Nuclear Physics

Nuclear Theory

22 pages, 13 figers and 3 tables

Scientific paper

10.1016/S0003-4916(03)00095-2

A self-consistent version of the Thermal Random Phase Approximation (TSCRPA) is developed within the Matsubara Green's Function (GF) formalism. The TSCRPA is applied to the many level pairing model. The normal phase of the system is considered. The TSCRPA results are compared with the exact ones calculated for the Grand Canonical Ensemble. Advantages of the TSCRPA over the Thermal Mean Field Approximation (TMFA) and the standard Thermal Random Phase Approximation (TRPA) are demonstrated. Results for correlation functions, excitation energies, single particle level densities, etc., as a function of temperature are presented.

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