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Self-Consistent Quasi-Particle RPA (SCQRPA) is for the first time applied toa more level pairing case. Various filling situations and values for thecoupling constant are considered. Very encouraging results in comparison withthe exact solution of the model are obtained. The nature of the low lying modein SCQRPA is identified. The strong reduction of the number fluctuation inSCQRPA vs BCS is pointed out. The transition from superfluidity to the normalfluid case is carefully investigated.Comment: 23 pages, 18 figures and 1 table, submitted to Phys. Rev.

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