Fixed energy quantal inverse scattering theory has been used to analyze the differential cross section from the elastic scattering of 200 MeV protons from ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$. Ambiguities in obtaining the scattering function from the differential cross section are discussed and we illustrate by means of example that not all scattering functions lead to physically reasonable potentials.

• Received 20 September 1993

DOI:https://doi.org/10.1103/PhysRevC.49.2177