Particle-Number Projected Hartree-Fock-Bogoliubov Study with Effective Shell Model Interactions

Details Particle-Number Projected Hartree-Fock-Bogoliubov Study with Effective Shell Model Interactions Particle-Number Projected Hartree-Fock-Bogoliubov Study with Effective Shell Model Interactions

2010-11-22

arxiv.org/abs/1011.4869v1

Physics

Nuclear Physics

Nuclear Theory

10 pages

Scientific paper

We perform particle-number projected mean-field study using the recently developed symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations. Realistic calculations have been performed in sd- and fp-shell nuclei using the shell model empirical intearctions, USD and GXPFIA. It is demonstrated that the mean-field results for energy surfaces, obtained with these shell model interactions, are quite similar to those obtained using the density functional approaches. Further, it is shown that particle-number projected results, for neutron rich isotopes, can lead to different ground-state shapes in comparison to the bare HFB calculations.

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