Exact Macroscopic Charge-Independent Analysis of Quasielastic (p,n) Reactions

A technique is described in which a strictly charge-independent optical potential for nucleons is derived from empirical neutron and proton potentials which provide optimum fits to the available data. Predictions for the ($p,n$) charge-exchange reaction on ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ and ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ are made by solving the coupled Lane equations exactly. It is found that both angular-distribution and excitation-function data are fitted quite well, without adjustable parameters.