Applying a four-body continuum-distorted-wave formalism in calculating the fully differential cross section for single ionization of helium in collision with high-energy protons

Abstract

The present study aimed to calculate the fully differential cross section for single ionization of helium atom by fast protons impact. These calculations are performed as four-body formalism by applying the continuum-distorted-wave method, considering the wave functions symmetrically in the initial and final channels. The dependence of this theory on the ground-state wave functions of the helium in the initial channel is investigated through performing calculations for the three wave functions Hylleraas, Silverman and Silverman-Platas-Matse, respectively. In addition, the effect of inter-nuclear interaction in determining the dynamics of collision for all three wave functions is investigated. Comparing the results of the present theory with the experimental results in the 1 MeV impact energies of protons, the 6.5 eV electron ejection energies and 0.75 a.u transferred momentum in the scattering plane and azimuthal plane indicates that this theory can accurately predict binary and recoil peaks and determine the dynamics of collision at the energies discussed in the paper.