Approximate Analytical Wave Functions for the Nuclear Independent-Particle Model

Abstract

The wave functions, normalization constants, and certain important diagonal matrix elements have been calculated for the diffuse boundary potentials previously described. By taking advantage of the variety of well parameter combinations which give rise to the dimensionless potentials and by utilizing a simple perturbation method, one may extend the usefulness of these wave functions to a large variety of potentials, and it should be possible to generate approximate independent-particle-model wave functions for any proton or neutron state in any nuclear species with $A>\mathrm{}10\mathrm{}$.