Single-particle potentials and wave functions in the 1p and 2s-1d shells

Abstract

We have generated wave functions in a parametrized single-particle local potential and adjusted the parameters so as to fit the shape of the wave functions to elastic electron scattering data and the eigenenergies to the proton separation energies, as obtained from (p, 2p) and similar experiments. In this connection, the points at which the model breaks down are of particular interest from the point of view of individual nuclear properties. The relationship between the single-particle wave functions and the overlap integrals of the initial and final states in the (p, 2p) reaction is discussed and it is shown that the single-particle wave equation is a first approximation to the Schrödinger equation for the overlap integrals. Finally, it is found that the local potential, which is energy dependent is equivalent to an energy independent non-local potential in the effective mass approximation.