Nucleon Single-Particle Levels in a Diffuse Nonlocal Potential Well

Abstract

Calculations have been made of the nucleon single-particle levels in ${\mathrm{Zr}}^{91}$ using a diffuse nuclear potential. The results of both local and nonlocal calculations are presented. The nonlocal calculations were made using the equivalent local-potential model formulated by Perey and Buck. It is shown that the nonlocal model provides good shell-model ordering of the states, gives parameters which are in good agreement with those found in scattering, yields results which are in good agreement with the experimentally determined levels, and gives a value of 3.07 MeV for the binding energy per nucleon. The value of the binding energy per nucleon found in the local calculations was 0.91 MeV.