Asymptotic form of the electron-hydrogen scattered wave

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

doi:10.1103/PhysRevA.67.024702

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Asymptotic form of the electron-hydrogen scattered wave

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Asymptotic form of the electron-hydrogen scattered wave

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

Physical Review A - Atomic, Molecular, and Optical Physics, Vol.67(2)

2003

DOI: https://doi.org/10.1103/PhysRevA.67.024702

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Abstract

A relationship between the total wave function describing electron-impact ionization of hydrogen and the one representing scattering of two electrons and a proton in the continuum is revealed. On the basis of this relationship, forms of the scattered wave for the ionization process valid in all asymptotic domains are obtained. When all interparticle distances become large, the new wave functions reduce to the well-known Peterkop asymptotic wave function obtained in the hyperspherical approach. In particular, the Peterkop wave function is obtained by direct application of the present approach. This allows one to resolve the long-standing amplitude-phase ambiguity problem, which is an artifact of the hyperspherical approach to the ionization process. The Peterkop wave function is invalid when the two electrons are close to each other. This causes problems in practical calculations even in the domain where all particles are far apart. Our formulation provides a solution to this problem.

Details

Title: Asymptotic form of the electron-hydrogen scattered wave
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
Publication Details: Physical Review A - Atomic, Molecular, and Optical Physics, Vol.67(2)
Publisher: 2010 The American Physical Society
Identifiers: 991005545088507891
Copyright: © 2003 The American Physical Society
Murdoch Affiliation: School of Mathematical and Physical Sciences
Language: English
Resource Type: Journal article

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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