Particle States in Spheroidal Nuclei

Aug 1, 1955
6 pages
Published in:
  • Phys.Rev. 99 (1955) 803-809

Citations per year

195619711986200120163102
Abstract: (APS)
Particle motion in a spheroidal box has been studied by making an appropriate coordinate transformation so that the potential appears as spherically symmetric. The effect of the nonsphericity then appears as a change in kinetic energy for which the perturbation matrix elements can be evaluated. Matrix elements between states in different major shells are small. The energy levels and wave functions (defined in the transformed coordinate system) can then be calculated by the customary techniques of matrix diagonalization. This method was used to obtain energy levels of a spheroidal box both without and with an additional spin-orbit term of the magnitude suggested by nuclear shell systematics. Corresponding results for distorted wells of finite depths appear to be rather simply related to those for a box. Nuclear deformations predicted by this picture are in qualitative agreement with experimental values, and are, in general, considerably smaller than the values implied by a hydrodynamical model.