Fermions embedded in a scalar-vector kink-like smooth potential
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1088/1742-6596/630/1/012029 http://hdl.handle.net/11449/171980 |
Resumo: | The behaviour of massive fermions is analyzed with scalar and vector potentials. A continuous chiral-conjugation transformation decouples the equation for the upper component of the Dirac spinor provided the vector coupling does not exceed the scalar coupling. It is shown that a Sturm-Liouville perspective is convenient for studying scattering as well as bound states. One possible isolated solution (excluded from the Sturm-Liouville problem) corresponding to a bound state might also come into sight. For potentials with kink-like profiles, beyond the intrinsically relativistic isolated bound-state solution corresponding to the zero-mode solution of the massive Jackiw-Rebbi model in the case of no vector coupling, a finite set of bound-state solutions might appear as poles of the transmission amplitude in a strong coupling regime. It is also shown that the possible isolated bound solution disappears asymptotically as the magnitude of the scalar and vector coupling becomes the same. Furthermore, we show that due to the sizeable mass gain from the scalar background the high localization of the fermion in an extreme relativistic regime is conformable to comply with the Heisenberg uncertainty principle. |
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Fermions embedded in a scalar-vector kink-like smooth potentialThe behaviour of massive fermions is analyzed with scalar and vector potentials. A continuous chiral-conjugation transformation decouples the equation for the upper component of the Dirac spinor provided the vector coupling does not exceed the scalar coupling. It is shown that a Sturm-Liouville perspective is convenient for studying scattering as well as bound states. One possible isolated solution (excluded from the Sturm-Liouville problem) corresponding to a bound state might also come into sight. For potentials with kink-like profiles, beyond the intrinsically relativistic isolated bound-state solution corresponding to the zero-mode solution of the massive Jackiw-Rebbi model in the case of no vector coupling, a finite set of bound-state solutions might appear as poles of the transmission amplitude in a strong coupling regime. It is also shown that the possible isolated bound solution disappears asymptotically as the magnitude of the scalar and vector coupling becomes the same. Furthermore, we show that due to the sizeable mass gain from the scalar background the high localization of the fermion in an extreme relativistic regime is conformable to comply with the Heisenberg uncertainty principle.UNESP Campus de Guaratinguetá Departamento de Física e QuímicaUNESP Campus de Guaratinguetá Departamento de Física e QuímicaUniversidade Estadual Paulista (Unesp)Castilho, W. M. [UNESP]De Castro, A. S. [UNESP]2018-12-11T16:58:00Z2018-12-11T16:58:00Z2015-07-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectapplication/pdfhttp://dx.doi.org/10.1088/1742-6596/630/1/012029Journal of Physics: Conference Series, v. 630, n. 1, 2015.1742-65961742-6588http://hdl.handle.net/11449/17198010.1088/1742-6596/630/1/0120292-s2.0-849386355292-s2.0-84938635529.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Physics: Conference Series0,2410,241info:eu-repo/semantics/openAccess2024-07-01T20:52:56Zoai:repositorio.unesp.br:11449/171980Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:41:08.988703Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Fermions embedded in a scalar-vector kink-like smooth potential |
title |
Fermions embedded in a scalar-vector kink-like smooth potential |
spellingShingle |
Fermions embedded in a scalar-vector kink-like smooth potential Castilho, W. M. [UNESP] |
title_short |
Fermions embedded in a scalar-vector kink-like smooth potential |
title_full |
Fermions embedded in a scalar-vector kink-like smooth potential |
title_fullStr |
Fermions embedded in a scalar-vector kink-like smooth potential |
title_full_unstemmed |
Fermions embedded in a scalar-vector kink-like smooth potential |
title_sort |
Fermions embedded in a scalar-vector kink-like smooth potential |
author |
Castilho, W. M. [UNESP] |
author_facet |
Castilho, W. M. [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 |
Castilho, W. M. [UNESP] De Castro, A. S. [UNESP] |
description |
The behaviour of massive fermions is analyzed with scalar and vector potentials. A continuous chiral-conjugation transformation decouples the equation for the upper component of the Dirac spinor provided the vector coupling does not exceed the scalar coupling. It is shown that a Sturm-Liouville perspective is convenient for studying scattering as well as bound states. One possible isolated solution (excluded from the Sturm-Liouville problem) corresponding to a bound state might also come into sight. For potentials with kink-like profiles, beyond the intrinsically relativistic isolated bound-state solution corresponding to the zero-mode solution of the massive Jackiw-Rebbi model in the case of no vector coupling, a finite set of bound-state solutions might appear as poles of the transmission amplitude in a strong coupling regime. It is also shown that the possible isolated bound solution disappears asymptotically as the magnitude of the scalar and vector coupling becomes the same. Furthermore, we show that due to the sizeable mass gain from the scalar background the high localization of the fermion in an extreme relativistic regime is conformable to comply with the Heisenberg uncertainty principle. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-07-15 2018-12-11T16:58:00Z 2018-12-11T16:58:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/conferenceObject |
format |
conferenceObject |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1088/1742-6596/630/1/012029 Journal of Physics: Conference Series, v. 630, n. 1, 2015. 1742-6596 1742-6588 http://hdl.handle.net/11449/171980 10.1088/1742-6596/630/1/012029 2-s2.0-84938635529 2-s2.0-84938635529.pdf |
url |
http://dx.doi.org/10.1088/1742-6596/630/1/012029 http://hdl.handle.net/11449/171980 |
identifier_str_mv |
Journal of Physics: Conference Series, v. 630, n. 1, 2015. 1742-6596 1742-6588 10.1088/1742-6596/630/1/012029 2-s2.0-84938635529 2-s2.0-84938635529.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Physics: Conference Series 0,241 0,241 |
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_ |
1808128686756462592 |