Pairing Correlations in Finite Systems: From the weak to the strong fluctuations regime

Abstract

The Particle Number Projected Generator Coordinate Method is formulated for the pairing Hamiltonian in a detailed way in the projection after variation and the variation after projection methods. The dependence of the wave functions on the generator coordinate is analyzed performing numerical applications for the most relevant collective coordinates. The calculations reproduce the exact solution in the weak, crossover and strong pairing regimes. The physical insight of the Ansatz and its numerical simplicity make this theory an excellent tool to study pairing correlations in complex situations and/or involved Hamiltonians.

Submitted to EPJB

References in corpus (4)

• A Class of Exactly Solvable Pairing Models
• Thermodynamic properties of a small superconducting grain
• Review: Superconductivity in ultrasmall metallic grains
• Finite Size Corrections for the Pairing Hamiltonian

Cited by in corpus (8)

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• State-of-the-art of beyond mean field theories with nuclear density functionals
• On the impact of large amplitude pairing fluctuations on nuclear spectra
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• Large amplitude pairing fluctuations in atomic nuclei
• Zero-pairing limit of Hartree-Fock-Bogoliubov reference states
• Description of Pairing correlation in Many-Body finite systems with density functional theory
• Generator coordinate method with a conjugate momentum: application to the particle number projection