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Title: Self-consistent RPA based on a many-body vacuum

Journal Article · · Physics of Atomic Nuclei
 [1];  [2]
  1. Universite de Tunis El-Manar, Departement de Physique, Faculte des Sciences de Tunis (Tunisia)
  2. Universite Paris-Sud, CNRS-IN2P3 15, Institut de Physique Nucleaire d'Orsay (France)

Self-Consistent RPA is extended in a way so that it is compatible with a variational ansatz for the ground-state wave function as a fermionic many-body vacuum. Employing the usual equation-of-motion technique, we arrive at extended RPA equations of the Self-Consistent RPA structure. In principle the Pauli principle is, therefore, fully respected. However, the correlation functions entering the RPA matrix can only be obtained from a systematic expansion in powers of some combinations of RPA amplitudes. We demonstrate for a model case that this expansion may converge rapidly.

OSTI ID:
22043869
Journal Information:
Physics of Atomic Nuclei, Vol. 74, Issue 8; Other Information: Copyright (c) 2011 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
Country of Publication:
United States
Language:
English