Optimal pair density functional for description of nuclei with large neutron excess

Abstract

Toward a universal description of pairing properties in nuclei far from stability, we extend the energy density functional by enriching the isovector density dependence in the particle-particle channel (pair density functional, pair-DF). We emphasize the necessity of both the linear and quadratic isovector density terms. The parameters are optimized by the Hartree-Fock-Bogoliubov calculation for 156 nuclei of the mass number A=118-196 and the asymmetry parameter (N-Z)/A<0.25. We clarify that the pair-DF should include the isovector density dependence in order to take into account the effect of the isoscalar and isovector effective masses in the particle-hole channel consistently. The different Skyrme forces can give the small difference in the pairing gaps toward the neutron drip line, if the optimal pair-DF consistent with the particle-hole channel is employed.

Comments: 11 pages, 17 figures. We clarify the connection between the effective masses and the pairing density functional in the revised paper. The justification of the mixed type pairing force is also discussed