Scattering of Medium-Energy Alpha Particles. III. Analysis of Elastic and Inelastic Scattering fromCa42andTi50

Abstract

A combined analysis is made of elastic and inelastic scattering of medium-energy $\alpha$ particles from ${}_{}{}^{42}{}_{}{}^{}\mathrm{Ca}$ and ${}_{}{}^{50}{}_{}{}^{}\mathrm{Ti}$. This is first done in terms of the generalized optical model. A conventional distorted-wave Born-approximation inelastic scattering is then made, using phenomenological optical potentials to generate the distorted waves, but using a microscopic description of the nuclear excitation constructed from an effective two-body interaction and shell-model wave functions for the nucleus. Finally, a fully microscopic calculation is made to give a consistent description of the elastic and inelastic scattering, and it is shown that this model is capable of producing results which are comparable, in terms of quality of fit to the data, to those given by the generalized optical model.