Calculations of the Energy Levels in Deformed Nuclei

Abstract

The methods of calculating the energy levels in spheroidal nuclei are discussed. It is shown that the expansion of the perturbation in powers of the deformation parameter, $\beta$, leads to a very slowly convergent series representation of the matrix elements. An alternative method of expressing the perturbation, due to Moszkowski, which can allow a better calculation, is also discussed.