The potentials for ${}_{}{}^{12}{}_{}{}^{}\mathrm{-}_{}^{12}{}_{}{}^{}$C scattering at 360, 1016, 1449, and 2400 MeV are obtained by inversion of S functions of an absorption model of scattering. The parameters of those S functions were determined by fitting the elastic scattering differential cross sections. A semiclassical inverse scattering method at fixed energy was used to produce potentials uniquely related to the S functions in the so-called sensitive radial regions around the strong absorption radii, potentials which do not depend upon an assumed shape. Comparison of the inversion potentials with those obtained by optical model potential fits to data show close agreement in the sensitive regions. It is emphasized that inversion is an easily performed, more systematic, method of analysis of intermediate energy heavy-ion scattering data than the usual optical model approach having the additional advantage of model independence.

• Received 23 August 1989

DOI:https://doi.org/10.1103/PhysRevC.41.2021