Density-dependent effective interactions in nuclei

Abstract

Effective interactions chosen to have the same structure as the Brueckner reaction matrix were used in self-consistent field calculations on some closed shell nuclei. These finite range interactions are velocity-dependent and depend on the starting energy. The density dependence and starting energy dependence were determined by fitting the diagonal K-matrix elements of nuclear matter which were calculated with the Reid soft-core potential. Two interactions were derived: (i) U p = 0 from a K-matrix defined with a pure kinetic energy particle spectrum and (ii) U p ≠ 0 from a K-matrix with a self-consistent insertion in particle states just above the Fermi surface. The model U p ≠ 0 was also modified by changing the size of the correlation wound integral which determines the starting energy dependence. It was found that the removal of that part of the wound integral which is due to the repulsive core of the nucleon-nucleon interaction resulted in the best single-particle spectrum.