Wave-packet continuum-discretization approach to ion-atom collisions: Non-rearrangement scattering

A general single-center close-coupling approach based on a continuum-discretization procedure is developed to calculate excitation and ionization processes in ion-atom collisions. The continuous spectrum of the target is discretized using stationary wave packets constructed from the Coulomb wave fun...

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Main Authors: Abdurakhmanov, I., Kadyrov, Alisher, Bray, I.
Format: Journal Article
Published: American Physical Society 2016
Online Access:http://hdl.handle.net/20.500.11937/28546
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author Abdurakhmanov, I.
Kadyrov, Alisher
Bray, I.
author_facet Abdurakhmanov, I.
Kadyrov, Alisher
Bray, I.
author_sort Abdurakhmanov, I.
building Curtin Institutional Repository
collection Online Access
description A general single-center close-coupling approach based on a continuum-discretization procedure is developed to calculate excitation and ionization processes in ion-atom collisions. The continuous spectrum of the target is discretized using stationary wave packets constructed from the Coulomb wave functions, the eigenstates of the target Hamiltonian. Such continuum discretization allows one to generate pseudostates with arbitrary energies and distribution. These features are ideal for detailed differential ionization studies. The approach starts from the semiclassical three-body Schrödinger equation for the scattering wave function and leads to a set of coupled differential equations for the transition probability amplitudes. To demonstrate its utility the method is applied to calculate collisions of antiprotons with atomic hydrogen. A comprehensive set of benchmark results from integrated to fully differential cross sections for antiproton-impact ionization of hydrogen in the energy range from 1 keV to 1 MeV is provided. Contrary to previous predictions, we find that at low incident energies the singly differential cross section has a maximum away from the zero emission energy. This feature could not be seen without a fine discretization of the low-energy part of the continuum.
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institution Curtin University Malaysia
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last_indexed 2025-11-14T08:10:39Z
publishDate 2016
publisher American Physical Society
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spelling curtin-20.500.11937-285462017-09-13T15:55:37Z Wave-packet continuum-discretization approach to ion-atom collisions: Non-rearrangement scattering Abdurakhmanov, I. Kadyrov, Alisher Bray, I. A general single-center close-coupling approach based on a continuum-discretization procedure is developed to calculate excitation and ionization processes in ion-atom collisions. The continuous spectrum of the target is discretized using stationary wave packets constructed from the Coulomb wave functions, the eigenstates of the target Hamiltonian. Such continuum discretization allows one to generate pseudostates with arbitrary energies and distribution. These features are ideal for detailed differential ionization studies. The approach starts from the semiclassical three-body Schrödinger equation for the scattering wave function and leads to a set of coupled differential equations for the transition probability amplitudes. To demonstrate its utility the method is applied to calculate collisions of antiprotons with atomic hydrogen. A comprehensive set of benchmark results from integrated to fully differential cross sections for antiproton-impact ionization of hydrogen in the energy range from 1 keV to 1 MeV is provided. Contrary to previous predictions, we find that at low incident energies the singly differential cross section has a maximum away from the zero emission energy. This feature could not be seen without a fine discretization of the low-energy part of the continuum. 2016 Journal Article http://hdl.handle.net/20.500.11937/28546 10.1103/PhysRevA.94.022703 American Physical Society restricted
spellingShingle Abdurakhmanov, I.
Kadyrov, Alisher
Bray, I.
Wave-packet continuum-discretization approach to ion-atom collisions: Non-rearrangement scattering
title Wave-packet continuum-discretization approach to ion-atom collisions: Non-rearrangement scattering
title_full Wave-packet continuum-discretization approach to ion-atom collisions: Non-rearrangement scattering
title_fullStr Wave-packet continuum-discretization approach to ion-atom collisions: Non-rearrangement scattering
title_full_unstemmed Wave-packet continuum-discretization approach to ion-atom collisions: Non-rearrangement scattering
title_short Wave-packet continuum-discretization approach to ion-atom collisions: Non-rearrangement scattering
title_sort wave-packet continuum-discretization approach to ion-atom collisions: non-rearrangement scattering
url http://hdl.handle.net/20.500.11937/28546