Pairing schemes for HFB calculations of nuclei

Abstract

Several pairing schemes currently used to describe superfluid nuclei through Hartree-Fock-Bogolyubov (HFB) calculations are briefly reviewed. We put a particular emphasis on the regularization recipes used in connection with zero-range forces and on the density dependence which usually complement their definition. Regarding the chosen regularization process, the goal is not only to identify the impact it may or may not have on pairing properties of nuclei through spherical 1D HFB calculations but also to assess its tractability for systematic axial 2D and 3D mean-field and beyond-mean-field calculations.Comment: 7 pages, 7 figures, Invited talk at the Workshop on New developments in Nuclear Self-Consistent Mean-Field Theories, Yukawa Institute for Theoretical Physics, Kyoto, Japan, May 30 - June 1, 2005, Yukawa Institute for Theoretical Physics Report Series (Soryushi-ron kenkyu