Surface-integral formulation of scattering theory
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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.
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.
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Kadyrov, Alisher; Bray, Igor; Mukhamedzhanov, A.; Stelbovics, Andris (2009)Basic features of a new surface-integral formulation of scattering theory are outlined. This formulation is valid for both short-range and Coulombic long-range interactions. New general definitions for the potential ...
Kadyrov, Alisher; Bray, Igor; Mukhamedzhanov, A.; Stelbovics, Andris (2010)© 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 ...
Kadyrov, Alisher; Bray, Igor; Mukhamedzhanov, A.; Stelbovics, Andris (2009)Generalisation of scattering theory to charged particles is presented. It is based on a surface-integral approach. New general denitions for the breakup amplitude in a three-body system valid for both short-range and ...