Low-energy behavior of few-particle scattering amplitudes in two dimensions
Autor(a) principal: | |
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Data de Publicação: | 1992 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.46.3967 http://hdl.handle.net/11449/225130 |
Resumo: | A study of the analytic behavior of different few-particle scattering amplitudes at low energies in two space dimensions is presented. Such a study is of use in modeling and understanding different few-particle processes at low energies. A detailed discussion of the energy and the momentum dependence of the partial-wave on-the-energy-shell and off-the-energy-shell two-particle t matrices is given. These t-matrix elements tend to zero as the energy and momentum variables tend to zero. The multiple-scattering series is used to show that the connected three-to-three amplitudes diverge in the low-energy-momentum limit. Unitarity relations are used to show that the connected two-to-three and one-to-three amplitudes have specific logarithmic singularities at the m-particle breakup threshold. The subenergy singularity in the two-to-three amplitudes is also studied, and comments are made on some applications of the present study in different problems of physical interest. © 1992 The American Physical Society. |
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Low-energy behavior of few-particle scattering amplitudes in two dimensionsA study of the analytic behavior of different few-particle scattering amplitudes at low energies in two space dimensions is presented. Such a study is of use in modeling and understanding different few-particle processes at low energies. A detailed discussion of the energy and the momentum dependence of the partial-wave on-the-energy-shell and off-the-energy-shell two-particle t matrices is given. These t-matrix elements tend to zero as the energy and momentum variables tend to zero. The multiple-scattering series is used to show that the connected three-to-three amplitudes diverge in the low-energy-momentum limit. Unitarity relations are used to show that the connected two-to-three and one-to-three amplitudes have specific logarithmic singularities at the m-particle breakup threshold. The subenergy singularity in the two-to-three amplitudes is also studied, and comments are made on some applications of the present study in different problems of physical interest. © 1992 The American Physical Society.Instituto de Física Terica, Universidade Estadual Paulista, 01405 Sao Paulo, Sao PauloSchool of Mathematics and Statistics, University of Sydney, Sydney, NSWInstituto de Física Terica, Universidade Estadual Paulista, 01405 Sao Paulo, Sao PauloUniversidade Estadual Paulista (UNESP)School of Mathematics and Statistics, University of SydneyAdhikari, Sadhan K. [UNESP]Gibson, William G.2022-04-28T20:40:09Z2022-04-28T20:40:09Z1992-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3967-3977http://dx.doi.org/10.1103/PhysRevA.46.3967Physical Review A, v. 46, n. 7, p. 3967-3977, 1992.1050-2947http://hdl.handle.net/11449/22513010.1103/PhysRevA.46.39672-s2.0-4243557845Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2022-04-28T20:40:09Zoai:repositorio.unesp.br:11449/225130Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:01:57.397147Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Low-energy behavior of few-particle scattering amplitudes in two dimensions |
title |
Low-energy behavior of few-particle scattering amplitudes in two dimensions |
spellingShingle |
Low-energy behavior of few-particle scattering amplitudes in two dimensions Adhikari, Sadhan K. [UNESP] |
title_short |
Low-energy behavior of few-particle scattering amplitudes in two dimensions |
title_full |
Low-energy behavior of few-particle scattering amplitudes in two dimensions |
title_fullStr |
Low-energy behavior of few-particle scattering amplitudes in two dimensions |
title_full_unstemmed |
Low-energy behavior of few-particle scattering amplitudes in two dimensions |
title_sort |
Low-energy behavior of few-particle scattering amplitudes in two dimensions |
author |
Adhikari, Sadhan K. [UNESP] |
author_facet |
Adhikari, Sadhan K. [UNESP] Gibson, William G. |
author_role |
author |
author2 |
Gibson, William G. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) School of Mathematics and Statistics, University of Sydney |
dc.contributor.author.fl_str_mv |
Adhikari, Sadhan K. [UNESP] Gibson, William G. |
description |
A study of the analytic behavior of different few-particle scattering amplitudes at low energies in two space dimensions is presented. Such a study is of use in modeling and understanding different few-particle processes at low energies. A detailed discussion of the energy and the momentum dependence of the partial-wave on-the-energy-shell and off-the-energy-shell two-particle t matrices is given. These t-matrix elements tend to zero as the energy and momentum variables tend to zero. The multiple-scattering series is used to show that the connected three-to-three amplitudes diverge in the low-energy-momentum limit. Unitarity relations are used to show that the connected two-to-three and one-to-three amplitudes have specific logarithmic singularities at the m-particle breakup threshold. The subenergy singularity in the two-to-three amplitudes is also studied, and comments are made on some applications of the present study in different problems of physical interest. © 1992 The American Physical Society. |
publishDate |
1992 |
dc.date.none.fl_str_mv |
1992-01-01 2022-04-28T20:40:09Z 2022-04-28T20:40:09Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevA.46.3967 Physical Review A, v. 46, n. 7, p. 3967-3977, 1992. 1050-2947 http://hdl.handle.net/11449/225130 10.1103/PhysRevA.46.3967 2-s2.0-4243557845 |
url |
http://dx.doi.org/10.1103/PhysRevA.46.3967 http://hdl.handle.net/11449/225130 |
identifier_str_mv |
Physical Review A, v. 46, n. 7, p. 3967-3977, 1992. 1050-2947 10.1103/PhysRevA.46.3967 2-s2.0-4243557845 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
3967-3977 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129151795724288 |