Relativistic Coulomb scattering of spinless bosons
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevC.91.034903 http://hdl.handle.net/11449/220323 |
Resumo: | The relativistic scattering of spin-0 bosons by spherically symmetric Coulomb fields is analyzed in detail with an arbitrary mixing of vector and scalar couplings. It is shown that the partial wave series reduces the scattering amplitude to the closed Rutherford formula exactly when the vector and scalar potentials have the same magnitude, and as an approximation for weak fields. The behavior of the scattering amplitude near the conditions that furnish its closed form is also discussed. Strong suppressions of the scattering amplitude when the vector and scalar potentials have the same magnitude are observed either for particles or antiparticles with low incident momentum. We point out that such strong suppressions might be relevant in the analysis of the scattering of fermions near the conditions for the spin and pseudospin symmetries. From the complex poles of the partial scattering amplitude the exact closed forms of bound-state solutions for both particles and antiparticles with different scenarios for the coupling constants are obtained. Perturbative breaking of the accidental degeneracy appearing in a pair of special cases is related to the nonconservation of the Runge-Lenz vector. |
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Relativistic Coulomb scattering of spinless bosonsThe relativistic scattering of spin-0 bosons by spherically symmetric Coulomb fields is analyzed in detail with an arbitrary mixing of vector and scalar couplings. It is shown that the partial wave series reduces the scattering amplitude to the closed Rutherford formula exactly when the vector and scalar potentials have the same magnitude, and as an approximation for weak fields. The behavior of the scattering amplitude near the conditions that furnish its closed form is also discussed. Strong suppressions of the scattering amplitude when the vector and scalar potentials have the same magnitude are observed either for particles or antiparticles with low incident momentum. We point out that such strong suppressions might be relevant in the analysis of the scattering of fermions near the conditions for the spin and pseudospin symmetries. From the complex poles of the partial scattering amplitude the exact closed forms of bound-state solutions for both particles and antiparticles with different scenarios for the coupling constants are obtained. Perturbative breaking of the accidental degeneracy appearing in a pair of special cases is related to the nonconservation of the Runge-Lenz vector.Departamento de Física e Química Universidade Estadual PaulistaDepartamento de Física e Química Universidade Estadual PaulistaUniversidade Estadual Paulista (UNESP)Garcia, M. G. [UNESP]De Castro, A. S. [UNESP]2022-04-28T19:00:55Z2022-04-28T19:00:55Z2015-03-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevC.91.034903Physical Review C - Nuclear Physics, v. 91, n. 3, 2015.1089-490X0556-2813http://hdl.handle.net/11449/22032310.1103/PhysRevC.91.0349032-s2.0-84924347542Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review C - Nuclear Physicsinfo:eu-repo/semantics/openAccess2022-04-28T19:00:55Zoai:repositorio.unesp.br:11449/220323Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:52:22.910586Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Relativistic Coulomb scattering of spinless bosons |
title |
Relativistic Coulomb scattering of spinless bosons |
spellingShingle |
Relativistic Coulomb scattering of spinless bosons Garcia, M. G. [UNESP] |
title_short |
Relativistic Coulomb scattering of spinless bosons |
title_full |
Relativistic Coulomb scattering of spinless bosons |
title_fullStr |
Relativistic Coulomb scattering of spinless bosons |
title_full_unstemmed |
Relativistic Coulomb scattering of spinless bosons |
title_sort |
Relativistic Coulomb scattering of spinless bosons |
author |
Garcia, M. G. [UNESP] |
author_facet |
Garcia, M. G. [UNESP] De Castro, A. S. [UNESP] |
author_role |
author |
author2 |
De Castro, A. S. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Garcia, M. G. [UNESP] De Castro, A. S. [UNESP] |
description |
The relativistic scattering of spin-0 bosons by spherically symmetric Coulomb fields is analyzed in detail with an arbitrary mixing of vector and scalar couplings. It is shown that the partial wave series reduces the scattering amplitude to the closed Rutherford formula exactly when the vector and scalar potentials have the same magnitude, and as an approximation for weak fields. The behavior of the scattering amplitude near the conditions that furnish its closed form is also discussed. Strong suppressions of the scattering amplitude when the vector and scalar potentials have the same magnitude are observed either for particles or antiparticles with low incident momentum. We point out that such strong suppressions might be relevant in the analysis of the scattering of fermions near the conditions for the spin and pseudospin symmetries. From the complex poles of the partial scattering amplitude the exact closed forms of bound-state solutions for both particles and antiparticles with different scenarios for the coupling constants are obtained. Perturbative breaking of the accidental degeneracy appearing in a pair of special cases is related to the nonconservation of the Runge-Lenz vector. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-03-06 2022-04-28T19:00:55Z 2022-04-28T19:00:55Z |
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/PhysRevC.91.034903 Physical Review C - Nuclear Physics, v. 91, n. 3, 2015. 1089-490X 0556-2813 http://hdl.handle.net/11449/220323 10.1103/PhysRevC.91.034903 2-s2.0-84924347542 |
url |
http://dx.doi.org/10.1103/PhysRevC.91.034903 http://hdl.handle.net/11449/220323 |
identifier_str_mv |
Physical Review C - Nuclear Physics, v. 91, n. 3, 2015. 1089-490X 0556-2813 10.1103/PhysRevC.91.034903 2-s2.0-84924347542 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review C - Nuclear Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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_ |
1808129368113807360 |