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Evolution of nuclear shells with the Skyrme density dependent interaction

D. M. Brink·Fl. Stancu
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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 $A\geq 48$. The suppression factor is $\sim 0.15$ for the one-pion exchange potential.

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D. M. Brink, Fl. Stancu. 2007-06-08. Evolution of nuclear shells with the Skyrme density dependent interaction. https://doi.org/10.1103/physrevc.75.064311

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