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We propose a description of pairing properties in finite systems within thecanonical and microcanonical ensembles. The approach is derived by solving theBCS and self-consistent quasiparticle random-phase approximation with theLipkin-Nogami particle-number projection at zero temperature. The obtainedeigenvalues are embedded into the canonical and microcanonical ensembles. Theresults obtained are found in quite good agreement with the exact solutions ofthe doubly-folded equidistant multilevel pairing model as well as theexperimental data for $^{56}$Fe nucleus. The merit of the present approachresides in its simplicity and its application to a wider range of particlenumber, where the exact solution is impracticable.

Canonical and microcanonical ensemble descriptions of thermal pairing within BCS and quasiparticle RPA