Coulomb wave discrete variable method for calculation of the fully differential cross sections of antiproton impact ionization of hydrogen atom

TL;DR

This paper introduces a numerical method using Coulomb wave functions to calculate detailed ionization cross sections of hydrogen by antiprotons, providing results consistent with relativistic calculations.

Contribution

The study applies the Coulomb wave discrete variable method (CWDVR) to nonrelativistic antiproton-hydrogen collisions, offering a new computational approach for fully differential cross sections.

Findings

Results agree well with relativistic calculations.

Method accurately predicts ionization cross sections.

Provides detailed angular and energy distributions.

Abstract

We studied nonrelativistic collision of antiproton with hydrogen atom by solving time-dependent Schrodinger equation numerically. Coulomb wave function discrete variable method (CWDVR) had been used to calculate electron wave function evolution, while projectile defined classically, moving along the straight line trajectories with constant velocity. The ionization amplitude calculated by projection of the wave function into continuum wave function of the hydrogen electron. The fully differential cross sections calculated depending on projectile impact energy, scattering angle and electron ejection energy and angles. Our results in good agreement with the relativistic calculation results.