Surface-integral formulation of scattering theory
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...
| Main Authors: | , , , |
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| Format: | Journal Article |
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Elsevier
2009
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| Online Access: | http://hdl.handle.net/20.500.11937/35292 |
| _version_ | 1848754457584599040 |
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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 | 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. |
| first_indexed | 2025-11-14T08:40:43Z |
| format | Journal Article |
| id | curtin-20.500.11937-35292 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:40:43Z |
| publishDate | 2009 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-352922017-10-02T02:28:16Z Surface-integral formulation of scattering theory Kadyrov, Alisher Bray, Igor Mukhamedzhanov, A. Stelbovics, Andris Few-body systems Scattering theory Coulomb breakup Renormalization 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. 2009 Journal Article http://hdl.handle.net/20.500.11937/35292 10.1016/j.aop.2009.02.003 Elsevier fulltext |
| spellingShingle | Few-body systems Scattering theory Coulomb breakup Renormalization Kadyrov, Alisher Bray, Igor Mukhamedzhanov, A. Stelbovics, Andris Surface-integral formulation of scattering theory |
| title | Surface-integral formulation of scattering theory |
| title_full | Surface-integral formulation of scattering theory |
| title_fullStr | Surface-integral formulation of scattering theory |
| title_full_unstemmed | Surface-integral formulation of scattering theory |
| title_short | Surface-integral formulation of scattering theory |
| title_sort | surface-integral formulation of scattering theory |
| topic | Few-body systems Scattering theory Coulomb breakup Renormalization |
| url | http://hdl.handle.net/20.500.11937/35292 |