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

Jay Jay Tsui, Tom Kirchner

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 Schrödinger 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.

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

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 Schrödinger 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.
Paper Structure (6 sections, 28 equations, 7 figures, 2 tables)

This paper contains 6 sections, 28 equations, 7 figures, 2 tables.

Table of Contents

  1. Introduction
  2. General theory
  3. OC-BGM for antiproton--hydrogen collisions
  4. Results
  5. Conclusions
  6. Partial-Wave Energy Differential Cross Sections

Figures (7)

  • Figure 1: Distribution functions (see text) obtained from OC-BGM calculations for $l=1$. The black squares in Panel. \ref{['Fig.wt113l1']} are the wave numbers for $l = 1$ in Table \ref{['tab:eigenvalues']}. Panel. \ref{['Fig.wt113l1Log']} shows the functions on a logarithmic scale in the vicinity of the first positive eigenvalue.
  • Figure 2: EDCS for $l = 1$ calculated at $z_f$$\in$$[40,80]$ for an impact energy of 30 keV plotted as a function of the electron emission energy. The black squares are the EDCS obtained from the summation method Abdurakhmanov2011b.
  • Figure 3: EDCS obtained from the present calculations at 30 keV compared with results from McGovern's pseudostate approaches McGovern2010, QM-CCC Abdurakhmanov2011b, and WP-CCC Abdurakhmanov2016.
  • Figure 4: EDCS obtained from the present calculations at 100 and 200 keV compared with results from QM-CCC Abdurakhmanov2011b.
  • Figure 5: EDCS obtained from the present calculations at 10 keV compared with results from McGovern McGovern2010, and QM-CCC Abdurakhmanov2011b pseudostate approaches.
  • ...and 2 more figures