Perturbative HFB model for many-body pairing correlations
arXiv:nucl-th/0411017 · doi:10.1103/PhysRevC.71.044302
Abstract
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 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.
arXiv comment6 pages, 5 eps figures
References in corpus (11)
- Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
- Pairing in nuclear systems: from neutron stars to finite nuclei
- Pairing and continuum effects in nuclei close to the drip line
- Superdeformed rotational bands in the Mercury region; A Cranked Skyrme-Hartree-Fock-Bogoliubov study
- Deformation of Nuclei Close to the Two-Neutron Drip Line in Mg Region
- 3D Solution of Hartree-Fock-Bogoliubov Equations for Drip-Line Nuclei
- Pairing correlations and resonant states in the relativistic mean field theory
- Resonant continuum in the Hartree-Fock+BCS approximation
- Continuum effects for the mean-field and pairing properties of weakly bound nuclei
- Structure of positive energy states in a deformed mean-field potential
- Structure of Pairs in Heavy Weakly-Bound Nuclei
Cited by in corpus (5)
- Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
- Strong dineutron correlation in 8He and 18C
- New concept for pairing anti-halo effect as a localized wave packet of quasi-particle
- Application of the inverse Hamiltonian method to Hartree-Fock-Bogoliubov calculations
- Pairing correlations in exotic nuclei