Eur. Phys. J. B 48, 305-317 (2005)
https://doi.org/10.1140/epjb/e2005-00405-y

Pairing correlations in finite systems: from the weak to the strong fluctuations regime

Departamento de Física Teórica C-XI, Universidad Autónoma de Madrid, 28049 Madrid, Spain

Corresponding author: ^a j.luis.egido@uam.es

Received: 22 March 2005
Revised: 31 August 2005
Published online: 23 December 2005

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.