Optical-Model Analysis of Alpha-Particle Scattering fromMg24

Abstract

Optical-model analysis of elastic-scattering data taken at 40 MeV produces the familiar potential ambiguities, but at 80 MeV a single set is obtained. The parameters $V$, $W$, ${\mathcal{r}}_0$, and $a$ are found to be highly correlated and hence cannot be uniquely determined. The functions which are determined most uniquely are the rms radius of the real and imaginary potential and the products $V{{\mathcal{r}}_{0R}}^4$ and $W{{\mathcal{r}}_{0I}}^4$.