Pair fluctuations in ultra-small Fermi systems within self-consistent RPA at finite temperature |
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Authors: | A. Storozhenko P. Schuck J. Dukelsky A. Vdovin |
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Affiliation: | a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia b Institut de Physique Nucleaire, Orsay Cedex F-91406, France c Laboratoire de Physique et Modélisation des Milieux Condensés, CNRS & Université Joseph Fourier, Maison des Magistères, B.P. 166, 38042 Grenoble Cedex 9, France d Instituto de Estructura de la Materia, Serrano 123, Madrid 28006, Spain e Fachbereich Physik, Universität Rostock, Universitätsplatz 1, Rostock 18051, Germany |
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Abstract: | 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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