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Phys. Rev. C 69, 017306 (2004) [4 pages]

Self-consistent random phase approximation in the Schütte–Da Providencia fermion-boson model

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A. Rabhi*
Laboratoire de Physique de la Matière Condensée, Faculté des Sciences de Tunis, Campus Universitaire, Le Belvédère-1060, Tunisia and IPN-Lyon, 43 Bd du 11 novembre 1918, F-69622 Villeurbanne Cedex, France

Received 27 May 2003; published 30 January 2004

The self-consistent random phase approximation (SCRPA) is applied to the exactly solvable model with fermion-boson coupling proposed by Schütte and Da Providencia. Very encouraging results in comparison with the exact solution of the model for various observables are obtained. The transition from the normal phase to the phase with a spontaneously broken symmetry is carefully investigated. The strong reduction of the variance in SCRPA vs Hartree-Fock is pointed out.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.69.017306
DOI:
10.1103/PhysRevC.69.017306
PACS:
21.60.Jz, 24.10.Cn

*Electronic address: rabhi@ipnl.in2p3.fr