Electron Emission in Antiproton-Hydrogen Interactions Studied with the One-Centre Basis Generator Method

TL;DR

This study investigates electron emission in antiproton-hydrogen collisions at intermediate energies using a novel one-centre basis generator method, providing detailed energy-differential cross sections and validating against existing approaches.

Contribution

It introduces a pseudostate basis with a Yukawa-regularized potential within a semi-classical framework for accurate electron emission modeling.

Findings

Total energy-differential cross sections agree with other pseudostate methods.

Smooth EDCS profiles achieved through exponential interpolation.

Effective representation of electronic continuum with a single-centre expansion.

Abstract

Electron emission from hydrogen atoms induced by antiproton impact at intermediate energies is investigated using the one-centre Basis Generator Method within a semi-classical impact-parameter framework. The formulation employs a single-centre expansion of the time-dependent Schr\"odinger equation with a pseudostate basis consisting of hydrogenic orbitals acted upon by powers of a Yukawa-regularized potential, providing a compact and effective representation of the electronic continuum. Ionization probabilities are obtained by projecting the time-evolved wavefunction onto Coulomb continuum states, from which energy-differential cross sections (EDCS) are extracted. Exponential piecewise functions are constructed to interpolate between the pseudostate eigenenergies, yielding smooth EDCS profiles for each partial wave. The total EDCS, reconstructed by summing over all partial-wave contributions, exhibits good agreement with results from other pseudostate-based approaches.