Microscopic Optical Potential For Nucleus-nucleus Scattering-The Effect Of Tensor Correlations On The Evolution Of Single-particle Energies In The Medium-mass Nuclei

Since this paper contains two kinds of work, it can be divided into two parts.First part: Starting from the Dirac-Brueckner-Hartree-Fock (DBHF) approach, we consider the interaction between nucleon and nuclear matter and then parametrize the density- and the energy-dependence of the complex strength of nucleon-nucleon (NN) effective interaction. At last, we can get the microscopic potentials for nucleus-nucleus scattering by double folding of the complex NN interaction. We make a systematic analysis of ⁴He elastic scattering by ¹²C, ¹⁶O,²⁸Si,⁴⁰Caand ⁶Li+¹² Celastic scattering. The experimental cross sections over a wide range of incident energies and scattering angles are well reproduced by employing our approach, which strengthen our argument. At the same time, the renormalization factors do not change so much with respect to different incident energies and targets.Second part: Under the framework of Skyrme Hartree-Fork (SHF) plus Bardeen-Cooper- Schrieffer (BCS), we study the effect of the tensor interaction on the spin–orbit splittings in the Ca isotopes and N = 28 isotones. We consider two kinds of pairing interaction, volume pairing and surface pairing, and point out the different role of the triplet-even and triplet-odd tensor forces in analyzing the spin–orbit splittings in these nuclei. We also focus on the reduction of the spin-orbit splittings associated with f and p orbits from ⁴⁸Ca to ⁴⁶Ar. At last, we can get a conclusion that adding the tensor contribution can qualitatively explain in most cases the empirical trends, whereas this is not the case if one simply employs existing Skyrme parameterizations without the tensor force.