Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1140/epjc/s10052-017-4881-y http://hdl.handle.net/11449/174638 |
Resumo: | The relativistic quantum dynamics of scalar bosons in the background of a full vector coupling (minimal plus nonminimal vector couplings) is explored in the context of the Duffin–Kemmer–Petiau formalism. The Coulomb phase shift is determined for a general mixing of couplings and it is shown that the space component of the nonminimal coupling is a sine qua non condition for the exact closed-form scattering amplitude. It follows that the Rutherford cross section vanishes in the absence of the time component of the minimal coupling. Bound-state solutions obtained from the poles of the partial scattering amplitude show that the time component of the minimal coupling plays an essential role. The bound-state solutions depend on the nonminimal coupling and the spectrum consists of particles or antiparticles depending on the sign of the time component of the minimal coupling without chance for pair production even in the presence of strong couplings. It is also shown that an accidental degeneracy appears for a particular mixing of couplings. |
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Repositório Institucional da UNESP |
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Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interactionThe relativistic quantum dynamics of scalar bosons in the background of a full vector coupling (minimal plus nonminimal vector couplings) is explored in the context of the Duffin–Kemmer–Petiau formalism. The Coulomb phase shift is determined for a general mixing of couplings and it is shown that the space component of the nonminimal coupling is a sine qua non condition for the exact closed-form scattering amplitude. It follows that the Rutherford cross section vanishes in the absence of the time component of the minimal coupling. Bound-state solutions obtained from the poles of the partial scattering amplitude show that the time component of the minimal coupling plays an essential role. The bound-state solutions depend on the nonminimal coupling and the spectrum consists of particles or antiparticles depending on the sign of the time component of the minimal coupling without chance for pair production even in the presence of strong couplings. It is also shown that an accidental degeneracy appears for a particular mixing of couplings.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Departamento de Física Universidade Federal do Maranhão (UFMA), Campus Universitário do BacangaInstituto de Física Universidade de São Paulo (USP)Departamento de Física Instituto Tecnológico de Aeronáutica (ITA)Departamento de Matemática Aplicada Universidade Estadual de Campinas (UNICAMP) IMECCDepartamento de Física e Química Universidade Estadual Paulista (UNESP), Campus de GuaratinguetáDepartamento de Física e Química Universidade Estadual Paulista (UNESP), Campus de GuaratinguetáCNPq: 304105/2014-7CNPq: 304743/2015-1CNPq: 455719/2014-4Universidade Federal do Maranhão (UFMA)Universidade de São Paulo (USP)Instituto Tecnológico de Aeronáutica (ITA)Universidade Estadual de Campinas (UNICAMP)Universidade Estadual Paulista (Unesp)Castro, Luis B.de Oliveira, Luiz P.Garcia, Marcelo G.de Castro, Antonio S. [UNESP]2018-12-11T17:12:12Z2018-12-11T17:12:12Z2017-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1140/epjc/s10052-017-4881-yEuropean Physical Journal C, v. 77, n. 5, 2017.1434-60521434-6044http://hdl.handle.net/11449/17463810.1140/epjc/s10052-017-4881-y2-s2.0-850198520272-s2.0-85019852027.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEuropean Physical Journal C2,0222,022info:eu-repo/semantics/openAccess2024-07-01T20:52:17Zoai:repositorio.unesp.br:11449/174638Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:58:09.917140Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction |
title |
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction |
spellingShingle |
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction Castro, Luis B. |
title_short |
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction |
title_full |
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction |
title_fullStr |
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction |
title_full_unstemmed |
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction |
title_sort |
Relativistic quantum dynamics of scalar bosons under a full vector Coulomb interaction |
author |
Castro, Luis B. |
author_facet |
Castro, Luis B. de Oliveira, Luiz P. Garcia, Marcelo G. de Castro, Antonio S. [UNESP] |
author_role |
author |
author2 |
de Oliveira, Luiz P. Garcia, Marcelo G. de Castro, Antonio S. [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal do Maranhão (UFMA) Universidade de São Paulo (USP) Instituto Tecnológico de Aeronáutica (ITA) Universidade Estadual de Campinas (UNICAMP) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Castro, Luis B. de Oliveira, Luiz P. Garcia, Marcelo G. de Castro, Antonio S. [UNESP] |
description |
The relativistic quantum dynamics of scalar bosons in the background of a full vector coupling (minimal plus nonminimal vector couplings) is explored in the context of the Duffin–Kemmer–Petiau formalism. The Coulomb phase shift is determined for a general mixing of couplings and it is shown that the space component of the nonminimal coupling is a sine qua non condition for the exact closed-form scattering amplitude. It follows that the Rutherford cross section vanishes in the absence of the time component of the minimal coupling. Bound-state solutions obtained from the poles of the partial scattering amplitude show that the time component of the minimal coupling plays an essential role. The bound-state solutions depend on the nonminimal coupling and the spectrum consists of particles or antiparticles depending on the sign of the time component of the minimal coupling without chance for pair production even in the presence of strong couplings. It is also shown that an accidental degeneracy appears for a particular mixing of couplings. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-05-01 2018-12-11T17:12:12Z 2018-12-11T17:12:12Z |
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/10.1140/epjc/s10052-017-4881-y European Physical Journal C, v. 77, n. 5, 2017. 1434-6052 1434-6044 http://hdl.handle.net/11449/174638 10.1140/epjc/s10052-017-4881-y 2-s2.0-85019852027 2-s2.0-85019852027.pdf |
url |
http://dx.doi.org/10.1140/epjc/s10052-017-4881-y http://hdl.handle.net/11449/174638 |
identifier_str_mv |
European Physical Journal C, v. 77, n. 5, 2017. 1434-6052 1434-6044 10.1140/epjc/s10052-017-4881-y 2-s2.0-85019852027 2-s2.0-85019852027.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
European Physical Journal C 2,022 2,022 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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_ |
1808128879791964160 |