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

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 remains close to each other while the third particle is far away from them. The improved wave funct...

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Main Authors: Mukhamedzhanov, A., Kadyrov, Alisher, Pirlepesov , F.
Format: Journal Article
Published: American Physical Society 2006
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/39084
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author Mukhamedzhanov, A.
Kadyrov, Alisher
Pirlepesov , F.
author_facet Mukhamedzhanov, A.
Kadyrov, Alisher
Pirlepesov , F.
author_sort Mukhamedzhanov, A.
building Curtin Institutional Repository
collection Online Access
description 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 remains close to each other while the third particle is far away from them. The improved wave function satisfies the Schrdinger equation up to the terms of order O1/ 3, 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 Schrdinger equation by numerical means.
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publishDate 2006
publisher American Physical Society
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spelling curtin-20.500.11937-390842018-03-29T09:07:32Z Leading asymptotic terms of the three-body Coulomb scattering wave function Mukhamedzhanov, A. Kadyrov, Alisher Pirlepesov , F. scattering wave function Coulomb asymptotic wave function 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 remains close to each other while the third particle is far away from them. The improved wave function satisfies the Schrdinger equation up to the terms of order O1/ 3, 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 Schrdinger equation by numerical means. 2006 Journal Article http://hdl.handle.net/20.500.11937/39084 10.1103/PhysRevA.73.012713 American Physical Society restricted
spellingShingle scattering wave function
Coulomb
asymptotic wave function
Mukhamedzhanov, A.
Kadyrov, Alisher
Pirlepesov , F.
Leading asymptotic terms of the three-body Coulomb scattering wave function
title Leading asymptotic terms of the three-body Coulomb scattering wave function
title_full Leading asymptotic terms of the three-body Coulomb scattering wave function
title_fullStr Leading asymptotic terms of the three-body Coulomb scattering wave function
title_full_unstemmed Leading asymptotic terms of the three-body Coulomb scattering wave function
title_short Leading asymptotic terms of the three-body Coulomb scattering wave function
title_sort leading asymptotic terms of the three-body coulomb scattering wave function
topic scattering wave function
Coulomb
asymptotic wave function
url http://hdl.handle.net/20.500.11937/39084