Leading asymptotic terms of the three-body Coulomb scattering wave function

A. Mukhamedzhanov; A. Kadyrov; F. Pirlepesov

doi:10.1103/PhysRevA.73.012713

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Leading asymptotic terms of the three-body Coulomb scattering wave function

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Leading asymptotic terms of the three-body Coulomb scattering wave function

A. Mukhamedzhanov, A. Kadyrov and F. Pirlepesov

Physical Review A - Atomic, Molecular, and Optical Physics, Vol.73(1)

2006

DOI: https://doi.org/10.1103/PhysRevA.73.012713

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Abstract

The asymptotic wave function derived by Alt and Mukhamedzhanov Phys. Rev. A 47 2004 (1993)] and Mukhamedzhanov and Lieber Phys. Rev. A 54 3078 (1996)] has been refined in the region where the pair (β,γ) remains close to each other while the third particle α is far away from them (ρα→∞,rα∕ρα→0). The improved wave function satisfies the Schrödinger equation up to the terms of order O(1∕ρα3), provides the leading asymptotic terms of the three-body scattering wave function with Coulomb interactions, and gives further insight into the continuum behavior of the three-charged-particle wave function, and helps to obtain the 3→3 scattered wave. This opens up further ways of solving and analyzing the three-body Schrödinger equation by numerical means.

Details

Title: Leading asymptotic terms of the three-body Coulomb scattering wave function
Authors/Creators: A. Mukhamedzhanov (Author/Creator)
A. Kadyrov (Author/Creator)
F. Pirlepesov (Author/Creator)
Publication Details: Physical Review A - Atomic, Molecular, and Optical Physics, Vol.73(1)
Publisher: The American Physical Society
Identifiers: 991005545055607891
Copyright: © 2006 The American Physical Society
Murdoch Affiliation: Centre for Atomic, Molecular and Surface Physics
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