Fully Self-Consistent RPA Description of the Many Level Pairing Model

The self-consistent RPA (SCRPA) equations in the particle–particle channel are solved without any approximation for the picket fence model. The results are in excellent agreement with the exact solutions found with the Richardson method. Particularly interesting features are that screening correctio...

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Bibliographic Details
Published inAnnals of physics Vol. 296; no. 2; pp. 187 - 213
Main Authors Hirsch, Jorge G., Mariano, Alejandro, Dukelsky, Jorge, Schuck, Peter
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.03.2002
Elsevier Masson
Subjects
Nuclear Theory
Physics
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Summary:The self-consistent RPA (SCRPA) equations in the particle–particle channel are solved without any approximation for the picket fence model. The results are in excellent agreement with the exact solutions found with the Richardson method. Particularly interesting features are that screening corrections reverse the sign of the interaction and that SCRPA yields the exact energies in the case of two levels with two particles.
ISSN:0003-4916
1096-035X
DOI:10.1006/aphy.2002.6230