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

Abstract

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

10 pages, 2 figures, accepted for publication in Phys. Rev. C

References in corpus (6)

• Thermodynamics of pairing in mesoscopic systems
• Thermodynamic Properties of ${}^{56,57}$Fe
• Exact and approximate ensemble treatments of thermal pairing in a multilevel model
• Pairing within the self-consistent quasiparticle random-phase approximation at finite temperature
• Pairing in hot rotating nuclei
• New Bardeen-Cooper-Schrieffer-type theory at finite temperature with particle-number conservation

Cited by in corpus (9)

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• Benchmarking mean-field approximations to level densities
• Pairing reentrance in hot rotating nuclei
• Thermodynamic properties of hot nuclei within the self-consistent quasiparticle random-phase approximation
• Thermodynamics of small superconductors with fixed particle number
• Nuclear level density and thermal properties of ${}^{115}$Sn from neutron evaporation
• Re-investigation of heat capacity and paring phase transition in hot ${}^{93-98}$Mo nuclei
• Thermal nuclear pairing within the self-consistent quasiparticle RPA
• Exact nuclear pairing solution for large-scale configurations: I. The EP (v1.0) program at zero temperature