# Antiproton--hydrogen collisions calculation by Coulomb wave function discrete variable method

## TL;DR

This paper presents a numerical method using Coulomb wave functions to calculate antiproton-hydrogen collision outcomes, including ionization cross sections, with results aligning well with relativistic calculations.

## Contribution

It introduces the Coulomb wave function discrete variable method (CWDVR) for nonrelativistic collision simulations involving antiprotons and hydrogen atoms.

## Key findings

- Calculated ionization amplitudes and cross sections agree with relativistic results.
- Method effectively models electron wave function evolution during collisions.
- Provides detailed differential cross sections based on impact energy and scattering angles.

## Abstract

Nonrelativistic collision of proton and antiproton with hydrogen atom described 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 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.

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Source: https://tomesphere.com/paper/1907.00634