Examination of the Harmonic Oscillator Approximation in the Nilsson Model

Abstract

The major shell mixed Nilsson model which includes hexadecapole deformations predicts states from the 1g9/2 subshell in the low lying energy level spectra of 25Mg–25Al in a way which is not found experimentally. The ground state spin cannot be explained with this model for reasonable values of the deformation. These difficulties are removed when a Saxon–Woods function is used for the radial dependence of the one body potential. A good fit to the experimental levels is then produced for accepted deformations, but only if the RPC terms is considerably reduced.