Solution of the inverse scattering problem at fixed energy with nonphysical S matrix elements

Abstract

The quantum mechanical inverse elastic scattering problem is solved with the modified Newton-Sabatier method. A set of [Formula Presented] matrix elements calculated from a realistic analytic optical model potential serves as input data. It is demonstrated that the quality of the inversion potential can be improved by including nonphysical [Formula Presented] matrix elements to half, quarter, and eighth valued partial waves if the original set does not contain enough information to determine the interaction potential. We demonstrate that results can be very sensitive to the choice of those nonphysical [Formula Presented] matrix values both with the analytic potential model and in a real appl..