A Study of the Hartree-Fock Approximation as Applied to Finite Nuclei

摘要

Hartree-Fock calculations have been performed for the closed-shell nuclei 0, 40Ca, and 80Zr, and with certain simple approximations, for the open shell nuclei 12 C, 28Si, and ° Zn. The velocity dependent two-body force acts in relative s-states only. The force saturates nuclear matter at the correct energy and density and yields small second order perturbation corrections, but has too large a range to be in good agreement with the two-body data. However the choice of this simple force enables us to study the Hartree-Fock approximation in detail which is the main purpose of this paper. We calculate wave functions, energy levels, binding energies, and density distributions for the six nuclei and obtain rough agreement with the experimental results. A discussion is given of the non-local Hartree-Fock potential.