Theory of electron-impact ionization of atoms

A.S. Kadyrov; A.M. Mukhamedzhanov; A.T. Stelbovics; I. Bray

doi:10.1103/PhysRevA.70.062703

Back

Theory of electron-impact ionization of atoms

Journal article

Open access

Peer reviewed

Theory of electron-impact ionization of atoms

A.S. Kadyrov, A.M. Mukhamedzhanov, A.T. Stelbovics and I. Bray

Physical Review A - Atomic, Molecular, and Optical Physics, Vol.70(6)

2004

DOI: https://doi.org/10.1103/PhysRevA.70.062703

Files and links (2)

pdf

theory_of_electron-impact_ionization_of_atoms.pdfDownload View

Published (Version of Record) Open Access

url

Link to Published Version *Subscription may be requiredView

Abstract

The existing formulations of electron-impact ionization of a hydrogenic target suffer from a number of formal problems including an ambiguous and phase-divergent definition of the ionization amplitude. An alternative formulation of the theory is given. An integral representation for the ionization amplitude which is free of ambiguity and divergence problems is derived and is shown to have four alternative, but equivalent, forms well suited for practical calculations. The extension to amplitudes of all possible scattering processes taking place in an arbitrary three-body system follows. A well-defined conventional post form of the breakup amplitude valid for arbitrary potentials including the long-range Coulomb interaction is given. Practical approaches are based on partial-wave expansions, so the formulation is also recast in terms of partial waves and partial-wave expansions of the asymptotic wave functions are presented. In particular, expansions of the asymptotic forms of the total scattering wave function, developed from both the initial and the final state, for electron-impact ionization of hydrogen are given. Finally, the utility of the present formulation is demonstrated on some well-known model problems.

Details

Title: Theory of electron-impact ionization of atoms
Authors/Creators: A.S. Kadyrov (Author/Creator) - Murdoch University
A.M. Mukhamedzhanov (Author/Creator) - Texas A&M University
A.T. Stelbovics (Author/Creator) - Murdoch University
I. Bray (Author/Creator) - Murdoch University
Publication Details: Physical Review A - Atomic, Molecular, and Optical Physics, Vol.70(6)
Publisher: The American Physical Society
Identifiers: 991005545992507891
Copyright: © 2004 The American Physical Society
Murdoch Affiliation: Murdoch University
Language: English
Resource Type: Journal article

UN Sustainable Development Goals (SDGs)

This output has contributed to the advancement of the following goals:

Source: InCites

Metrics

317 File views/ downloads

86 Record Views

31 Times Cited - Web of Science

InCites Highlights

These are selected metrics from InCites Benchmarking & Analytics tool, related to this output

Collaboration types: Domestic collaboration; International collaboration
Citation topics: 2 Chemistry; 2.15 Physical Chemistry; 2.15.664 Dissociative Electron Attachment
Web Of Science research areas: Optics; Physics, Atomic, Molecular & Chemical
ESI research areas: Physics