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Phys. Rev. C 66, 064315 (2002) [21 pages]

Self-consistent quasiparticle random phase approximation for the description of superfluid Fermi systems

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A. Rabhi1,2,*, R. Bennaceur1,†, G. Chanfray2,‡, and P. Schuck3,§
1Laboratoire de Physique de la Matière Condensée, Faculté des Sciences de Tunis, Campus Universitaire, Le Belvédère-1060, Tunisia
2IPN-Lyon, 43Bd du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France
3Institut de Physique Nucléaire, IN2P3-CNRS, Université Paris-Sud, F-91406 Orsay Cedex, France

Received 16 August 2002; published 18 December 2002

Self-consistent quasiparticle random phase approximation (SCQRPA) is for the first time applied to a more level pairing case. Various filling situations and values for the coupling constant are considered. Very encouraging results in comparison with the exact solution of the model are obtained. The nature of the low-lying mode in SCQRPA is identified. The strong reduction of the number fluctuation in SCQRPA vs BCS is pointed out. The transition from superfluidity to the normal fluid case is carefully investigated.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.66.064315
DOI:
10.1103/PhysRevC.66.064315
PACS:
21.60.Jz, 21.60.Fw, 71.10.-w

*Electronic address: rabhi@ipnl.in2p3.fr

Electronic address: bennaceur.raouf@inrst.rnrt.tn

Electronic address: chanfray@ipnl.in2p3.fr

§Electronic address: schuck@ipno.in2p3.fr