Evolution of nuclear shells with the Skyrme density dependent interaction

Abstract

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 $A\ge 48$. The suppression factor is $\sim 0.15$ for the one-pion exchange potential.

14 pages, 3 figures

References in corpus (3)

• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Tensor interaction contributions to single-particle energies
• On three topical aspects of the N=28 isotonic chain

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