Ambiguities in strong absorptionlike S functions and in the corresponding potentials for heavy-ion collisions

Abstract

A semiclassical (WKB) method within fixed energy inverse scattering theory has been used to analyze the differential cross section from the elastic scattering of 1449 MeV C12 ions off of Pb208 and of 1503 MeV O16 ions off of C12. Excellent, statistically significant, fits to the -20812Pb experimental data have been found using a McIntyre form for the scattering function but with diverse sets of parameter values. There are corresponding diverse interaction potentials. To fit the -1216C data, a Regge pole term was needed to supplement the McIntyre form. Inversion of those scattering functions resulted in interaction potentials that vary noticeably within the sensitive radial regions. In additi..