Study of Light Nuclei in the Relativistic Mean Field Theory and the Non-Relativistic Skyrme-Hartree-Fock Theory

We study the ground state properties of light nuclei in the relativistic mean field theory and the non-relativistic Skyrme-Hartree-Fock theory. The systematics of the experimental binding energies are reproduced well in both theories, while the results for the matter radii have rather clear model dependence. We find that the isovector part of the nuclear interaction plays an important role to induce the inversion of 2s and 1d single particle levels, which causes the rapid increase of matter radii. In the light mass region, due to the smallness of the number of nucleons, the center-of-mass correction becomes important. In addition, through the self-consistency, the nuclear potential for some nucleus differs clearly from those fo the neightboring nuclei. In fact, we find some cases where these ingredients make it possible to reproduce the instability against particle emission without considering the effect of residual interaction.