Mean-Field Approximation top+ He Scattering

Abstract
The scattering of protons by helium atoms is studied in a mean-field approximation to the many-body S matrix. The one-body equations governing the electron dynamics for elastic scattering are solved iteratively beginning with the interaction-picture time-dependent Hartree-Fock (TDHF) solution. At a representative proton laboratory energy of 20 keV, the converged S-matrix elements are within 10% of the TDHF value. Inclusive single-charge transfer probabilities calculated in the interaction-picture TDHF approximation agree reasonably well with the experimental data.