Hartree-Fock Calculations with Realistic Hard-Core Potential

Abstract

The effective matrix elements of the two-nucleon Yale potential have been used in doing Hartree-Fock (HF) calculations in $N=Z$ even nuclei ($8\ensuremath{\le}A\ensuremath{\le}40$). The ground-state energy and single-particle energies and wave functions have been calculated as a function of two deformation parameters. The calculated equilibrium shapes and binding energy per nucleon are found to be reasonably good. The difficulties in the HF formalism due to the state dependence on the reaction matrix have been discussed, and methods suggested for doing a fully self-consistent calculation of the reaction matrix elements and the Hartree-Fock energy and states.