Algebraic and coordinate space potentials from heavy ion scattering

Abstract

An inversion scheme is presented to derive the potentials of algebraic scattering theory from the corresponding S functions. Representative heavy ion scattering data of C12, N14, and O16 ions on Pb208, accurately fitted by McIntyre strong absorption type S functions, are employed to obtain exact algebraic potentials and to generalize the analytical shapes proposed previously by Alhassid et al. The coordinate space potentials corresponding to a number of S functions are also obtained via semiclassical inversion. © 1993 The American Physical Society.