Evolution of nuclear shells with the Skyrme density dependent interaction

Details Evolution of nuclear shells with the Skyrme density dependent interaction Evolution of nuclear shells with the Skyrme density dependent interaction

2007-02-21

arxiv.org/abs/nucl-th/0702065v2

Phys.Rev.C75:064311,2007

Physics

Nuclear Physics

Nuclear Theory

14 pages, 3 figures

Scientific paper

10.1103/PhysRevC.75.064311

We present the evolution of the shell structure of nuclei in Hartree-Fock calculations using Skyrme's density-dependent effective nucleon-nucleon interaction. The role of the tensor part of the Skyrme interaction to the Hartree-Fock spin-orbit splitting in spherical spin unsaturated nuclei is reanalyzed. The contribution of a finite range tensor force to the spin-orbit splitting in closed shell nuclei is calculated. It is found that the exact matrix elements of a Gaussian and of a one-pion exchange tensor potential could be written as a product Skyrme's short range expression times a suppression factor which is almost constant for closed shell nuclei with mass number $A\geq 48$. The suppression factor is $\sim 0.15$ for the one-pion exchange potential.

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