Perturbative HFB model for many-body pairing correlations

Details Perturbative HFB model for many-body pairing correlations Perturbative HFB model for many-body pairing correlations

2004-11-04

arxiv.org/abs/nucl-th/0411017v2

Phys.Rev. C71 (2005) 044302

Physics

Nuclear Physics

Nuclear Theory

6 pages, 5 eps figures

Scientific paper

10.1103/PhysRevC.71.044302

We develop a perturbative model to treat the off-diagonal components in the Hartree-Fock-Bogoliubov (HFB) transformation matrix, which are neglected in the BCS approximation. Applying the perturbative model to a weakly bound nucleus $^{84}$Ni, it is shown that the perturbative approach reproduces well the solutions of the HFB method both for the quasi-particle energies and the radial dependence of quasi-particle wave functions. We find that the non-resonant part of the continuum single-particle state can acquire an appreciable occupation probability when there exists a weakly bound state close to the Fermi surface. This result originates from the strong coupling between the continuum particle state and the weakly bound state, and is absent in the BCS approximation. The limitation of the BCS approximation is pointed out in comparison with the HFB and the present perturbative model.

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