A systematic comparison between the Nilsson and Woods-Saxon deformed shell model potentials

Abstract

Similarities and differences between the single-particle orbitals of the Nilsson and Woods-Saxon average potentials are investigated in detail for deformed nuclei in the rare-earth and actinide regions. The neutron single-particle orbitals are found to be similar in the two potentials in the rare earth region, while in the actinide region large differences are found. These differences can, however, be significantly reduced by changing the Nilsson model parameters κ and μ. The proton single-particle orbitals show small but systematic differences both in the rare earth and actinide region. The origin of these differences can be traced back to the Coulomb interaction, which is not explicitly considered in the Nilsson potential.