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dc.contributor.authorKadyrov, Alisher
dc.contributor.authorBray, Igor
dc.contributor.authorMukhamedzhanov, A.
dc.contributor.authorStelbovics, Andris
dc.date.accessioned2017-01-30T13:48:50Z
dc.date.available2017-01-30T13:48:50Z
dc.date.created2010-03-18T20:02:07Z
dc.date.issued2009
dc.identifier.citationKadyrov, A.S and Bray, I. and Mukhamedzhanov, A.M and Stelbovics, A.T. 2009. Surface-integral formulation of scattering theory. Annals of Physics. 324 (7): pp. 1516-1546.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/35292
dc.identifier.doi10.1016/j.aop.2009.02.003
dc.description.abstract

We formulate scattering theory in the framework of a surface-integral approach utilizing analytically known asymptotic forms of the two-body and three-body scattering wavefunctions. This formulation is valid for both short-range and long-range Coulombic interactions. New general definitions for the potential scattering amplitude are presented. 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 Coulomb three-body breakup amplitude are derived. This resolves the problem of the inability of the conventional scattering theory to define the post form of the breakup amplitude for charged particles. The new definitions can be written as surface integrals convenient for practical calculations. The surface-integral representations are extended to amplitudes of direct and rearrangement scattering processes taking place in an arbitrary three-body system. General definitions for the wave operators are given that unify the currently used channel-dependent definitions.

dc.publisherElsevier
dc.subjectFew-body systems
dc.subjectScattering theory
dc.subjectCoulomb breakup
dc.subjectRenormalization
dc.titleSurface-integral formulation of scattering theory
dc.typeJournal Article
dcterms.source.volume324
dcterms.source.startPage1516
dcterms.source.endPage1546
dcterms.source.issn00034916
dcterms.source.titleAnnals of Physics
curtin.note

The link to the journal’s home page is: http://www.elsevier.com/wps/find/journaldescription.cws_home/622784/description#description. Copyright © 2009 Elsevier B.V. All rights reserved.

curtin.accessStatusOpen access
curtin.facultyFaculty of Science and Computing
curtin.facultyCentre of Excellence in Antimatter Studies
curtin.facultySchool of Science and Computing
curtin.facultyFaculty of Science and Engineering


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