Mean-Field and RPA Approaches to Stable and Unstable Nuclei with Semi-Realistic $NN$ Interaction

Abstract

We have developed semi-realistic NN interactions by modifying the M3Y interaction that was derived from the G -matrix. The modification has been made so that the saturation and the spin-orbit splittings should be reproduced. After viewing nuclear-matter properties, the semi-realistic M3Y-P5 interaction, which includes realistic tensor channels, is applied to finite nuclei in the mean-field and the random-phase approximations. In comparison with the results with widely used phenomenological interactions, we find that notable interaction dependence could remain in several Landau-Migdal parameters in the nuclear matter, in the N -dependence of proton single-particle levels in the Sn isotopes, and in the M1 strength distribution in 208Pb . Having microscopic origin in part, the semi-realistic interaction describes all these properties to reasonable accuracy. We confirm that the tensor force plays a crucial role in the single-particle levels and in the M1 distribution. Applying the semi-realistic interaction, we give prediction for a ground-state property of 60Ca , for the magic nature of N = 32 and 34 in the neutron-rich region, and for the property of the first excited state of 24O .