Finite particle number effects and the relationship of the fermion dynamical symmetry model with the Nilsson model.

Abstract

The fermion dynamical symmetry model is applied to an odd mass system via a strong coupling scheme and a direct comparison with the Nilsson model is made. Consequently, the deformed shell model Fermi-surface effect can be calculated from the fermion dynamical symmetry model as an approximate solution to the spherical shell model. Also, the finite particle number effect is studied with the fermion dynamical symmetry model; its effect is to renormalize the moment of inertia and deformation as well as to cause an attenuation of the Coriolis interaction.