Mean-field approach to nuclear structure with semi-realistic nucleon-nucleon interactions

Abstract

Semirealistic nucleon-nucleon interactions applicable to the self-consistent mean-field (both Hartree-Fock and Hartree-Fock-Bogolyubov) calculations are developed by modifying the M3Y interaction. The modification is made to reproduce binding energies and rms matter radii of doubly magic nuclei, single-particle levels in $^{208}\mathrm{Pb}$ and even-odd mass differences of the Sn isotopes. We find parameter sets with and without the tensor force. The new interactions are further checked by the saturation properties of the uniform nuclear matter, including the Landau-Migdal parameters. By the mean-field calculations, interaction dependence of the neutron drip line is investigated for the O, Ca, and Ni isotopes, and of the single-particle energies for the $N=16,32,50$, and 82 and $Z=50$ nuclei. Results of the semirealistic interactions including the tensor force are in fair agreement with available experimental data for all of these properties.