Shell model study of the pairing correlations

Abstract

A systematic study of the pairing correlations as a function of temperature and angular momentum has been performed in the sd-shell region using the spherical shell model approach. The pairing correlations have been derived for even-even, even-odd and odd-odd systems near N=Z and also for the asymmetric case of N=Z+4. The results indicate that the pairing content and the behavior of pair correlations is similar in even-even and odd-mass nuclei. For odd-odd N=Z system, angular momentum I=0 state is an isospin, t=1 neutron-proton paired configuration. Further, these t=1 correlations are shown to be dramatically reduced for the asymmetric case of N=Z+4. The shell model results obtained are qualitatively explained within a simplified degenerate model.

References in corpus (10)

• The Shell Model as Unified View of Nuclear Structure
• Particle number projection with effective forces
• Pairing and Isospin Symmetry in Proton-Rich Nuclei
• Symmetry-Projected Hartree-Fock-Bogoliubov Equations
• Variation after Particle-Number Projection for the HFB Method with the Skyrme Energy Density Functional
• Pairing-correlations and particle-number projection methods
• Temperature-induced pair correlations in clusters and nuclei
• Isovector Pairing in Odd-A Proton-Rich Nuclei
• Re-appearance of the pairing correlations at finite temperature
• New Bardeen-Cooper-Schrieffer-type theory at finite temperature with particle-number conservation