Surface-integral approach to the Coulomb few-body scattering problem

© Owned by the authors, published by EDP Sciences, 2010.We present main features of a surface-integral approach to the Coulomb few-body scattering problem. This approach is valid for both short-range and Coulombic longe-range interactions. We give new general definitions for the potential scattering...

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Main Authors: Kadyrov, Alisher, Bray, Igor, Mukhamedzhanov, A., Stelbovics, Andris
Format: Conference Paper
Published: EDP Sciences 2010
Online Access:http://hdl.handle.net/20.500.11937/14376
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author Kadyrov, Alisher
Bray, Igor
Mukhamedzhanov, A.
Stelbovics, Andris
author_facet Kadyrov, Alisher
Bray, Igor
Mukhamedzhanov, A.
Stelbovics, Andris
author_sort Kadyrov, Alisher
building Curtin Institutional Repository
collection Online Access
description © Owned by the authors, published by EDP Sciences, 2010.We present main features of a surface-integral approach to the Coulomb few-body scattering problem. This approach is valid for both short-range and Coulombic longe-range interactions. We give new general definitions for the potential scattering amplitude. For the Coulombic potentials the generalized amplitude gives the physical on-shell amplitude without recourse to a renormalization procedure. New post and prior forms for the amplitudes of breakup, direct and rearrangement scattering in a Coulomb three-body system are also presented. The Green's functions and formal solutions of the Schrödinger equation in integral form are not used. Therefore, for the purpose of defining the scattering amplitudes the knowledge of a complicated analytic structure of the Green's function in the complex-energy plane is not required.
first_indexed 2025-11-14T07:07:43Z
format Conference Paper
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T07:07:43Z
publishDate 2010
publisher EDP Sciences
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-143762017-09-13T14:04:53Z Surface-integral approach to the Coulomb few-body scattering problem Kadyrov, Alisher Bray, Igor Mukhamedzhanov, A. Stelbovics, Andris © Owned by the authors, published by EDP Sciences, 2010.We present main features of a surface-integral approach to the Coulomb few-body scattering problem. This approach is valid for both short-range and Coulombic longe-range interactions. We give new general definitions for the potential scattering amplitude. For the Coulombic potentials the generalized amplitude gives the physical on-shell amplitude without recourse to a renormalization procedure. New post and prior forms for the amplitudes of breakup, direct and rearrangement scattering in a Coulomb three-body system are also presented. The Green's functions and formal solutions of the Schrödinger equation in integral form are not used. Therefore, for the purpose of defining the scattering amplitudes the knowledge of a complicated analytic structure of the Green's function in the complex-energy plane is not required. 2010 Conference Paper http://hdl.handle.net/20.500.11937/14376 10.1051/epjconf/20100304014 EDP Sciences unknown
spellingShingle Kadyrov, Alisher
Bray, Igor
Mukhamedzhanov, A.
Stelbovics, Andris
Surface-integral approach to the Coulomb few-body scattering problem
title Surface-integral approach to the Coulomb few-body scattering problem
title_full Surface-integral approach to the Coulomb few-body scattering problem
title_fullStr Surface-integral approach to the Coulomb few-body scattering problem
title_full_unstemmed Surface-integral approach to the Coulomb few-body scattering problem
title_short Surface-integral approach to the Coulomb few-body scattering problem
title_sort surface-integral approach to the coulomb few-body scattering problem
url http://hdl.handle.net/20.500.11937/14376