Y. Sugahara et al., STUDY OF LIGHT-NUCLEI IN THE RELATIVISTIC MEAN-FIELD THEORY AND THE NONRELATIVISTIC SKYRME-HARTREE-FOCK THEORY, Progress of theoretical physics, 96(6), 1996, pp. 1165-1178
We study the ground state properties of light nuclei in the relativist
ic mean held theory and the non-relativistic Skyrme-Hartree-Fock theor
y. The systematics of the experimental binding energies are reproduced
well in both theories, while the results for the matter radii have ra
ther clear model dependence. We find that the isovector part of the nu
clear interaction plays an important role to induce the inversion of 2
s and Id single particle levels, which causes the rapid increase of ma
tter radii. In the light mass region, due to the smallness of the numb
er of nucleons, the center-of-mass correction becomes important. In ad
dition, through the self-consistency, the nuclear potential for some n
ucleus differs clearly from those of the neighboring nuclei. In fact,
we find some cases where these ingredients make it possible to reprodu
ce the instability against particle emission without considering the e
ffect of residual interaction.