Pseudospin symmetry and the relativistic harmonic oscillator
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevC.69.024319 http://hdl.handle.net/11449/228432 |
Resumo: | A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar [Formula Presented] and a vector [Formula Presented] quadratic potentials in the radial coordinate, as well as a tensor potential [Formula Presented] linear in [Formula Presented]. Setting either or both combinations [Formula Presented] and [Formula Presented] to zero, analytical solutions for bound states of the corresponding Dirac equations are found. The eigenenergies and wave functions are presented and particular cases are discussed, devoting a special attention to the nonrelativistic limit and the case [Formula Presented], for which pseudospin symmetry is exact. We also show that the case [Formula Presented] is the most natural generalization of the nonrelativistic harmonic oscillator. The radial node structure of the Dirac spinor is studied for several combinations of harmonic-oscillator potentials, and that study allows us to explain why nuclear intruder levels cannot be described in the framework of the relativistic harmonic oscillator in the pseudospin limit. © 2004 The American Physical Society. |
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Repositório Institucional da UNESP |
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Pseudospin symmetry and the relativistic harmonic oscillatorA generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar [Formula Presented] and a vector [Formula Presented] quadratic potentials in the radial coordinate, as well as a tensor potential [Formula Presented] linear in [Formula Presented]. Setting either or both combinations [Formula Presented] and [Formula Presented] to zero, analytical solutions for bound states of the corresponding Dirac equations are found. The eigenenergies and wave functions are presented and particular cases are discussed, devoting a special attention to the nonrelativistic limit and the case [Formula Presented], for which pseudospin symmetry is exact. We also show that the case [Formula Presented] is the most natural generalization of the nonrelativistic harmonic oscillator. The radial node structure of the Dirac spinor is studied for several combinations of harmonic-oscillator potentials, and that study allows us to explain why nuclear intruder levels cannot be described in the framework of the relativistic harmonic oscillator in the pseudospin limit. © 2004 The American Physical Society.Instituto de Física Universidade Federal Fluminense, Niterói, 24210-340Departamento de Física e Química Universidade Estadual Paulista, Guaratinguetá, 12516-410Departamento de Física and Centro de Física Computacional Universidade de Coimbra, Coimbra, P-3004-516Departamento de Física e Química Universidade Estadual Paulista, Guaratinguetá, 12516-410Universidade Federal Fluminense (UFF)Universidade Estadual Paulista (UNESP)Universidade de CoimbraLisboa, R.Malheiro, M.de Castro, A. S. [UNESP]Alberto, P.Fiolhais, M.2022-04-29T08:14:44Z2022-04-29T08:14:44Z2004-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article15http://dx.doi.org/10.1103/PhysRevC.69.024319Physical Review C - Nuclear Physics, v. 69, n. 2, p. 15-, 2004.1089-490X0556-2813http://hdl.handle.net/11449/22843210.1103/PhysRevC.69.0243192-s2.0-85035295100Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review C - Nuclear Physicsinfo:eu-repo/semantics/openAccess2024-07-01T20:52:07Zoai:repositorio.unesp.br:11449/228432Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:57:20.725151Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Pseudospin symmetry and the relativistic harmonic oscillator |
title |
Pseudospin symmetry and the relativistic harmonic oscillator |
spellingShingle |
Pseudospin symmetry and the relativistic harmonic oscillator Lisboa, R. |
title_short |
Pseudospin symmetry and the relativistic harmonic oscillator |
title_full |
Pseudospin symmetry and the relativistic harmonic oscillator |
title_fullStr |
Pseudospin symmetry and the relativistic harmonic oscillator |
title_full_unstemmed |
Pseudospin symmetry and the relativistic harmonic oscillator |
title_sort |
Pseudospin symmetry and the relativistic harmonic oscillator |
author |
Lisboa, R. |
author_facet |
Lisboa, R. Malheiro, M. de Castro, A. S. [UNESP] Alberto, P. Fiolhais, M. |
author_role |
author |
author2 |
Malheiro, M. de Castro, A. S. [UNESP] Alberto, P. Fiolhais, M. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal Fluminense (UFF) Universidade Estadual Paulista (UNESP) Universidade de Coimbra |
dc.contributor.author.fl_str_mv |
Lisboa, R. Malheiro, M. de Castro, A. S. [UNESP] Alberto, P. Fiolhais, M. |
description |
A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar [Formula Presented] and a vector [Formula Presented] quadratic potentials in the radial coordinate, as well as a tensor potential [Formula Presented] linear in [Formula Presented]. Setting either or both combinations [Formula Presented] and [Formula Presented] to zero, analytical solutions for bound states of the corresponding Dirac equations are found. The eigenenergies and wave functions are presented and particular cases are discussed, devoting a special attention to the nonrelativistic limit and the case [Formula Presented], for which pseudospin symmetry is exact. We also show that the case [Formula Presented] is the most natural generalization of the nonrelativistic harmonic oscillator. The radial node structure of the Dirac spinor is studied for several combinations of harmonic-oscillator potentials, and that study allows us to explain why nuclear intruder levels cannot be described in the framework of the relativistic harmonic oscillator in the pseudospin limit. © 2004 The American Physical Society. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004-01-01 2022-04-29T08:14:44Z 2022-04-29T08:14:44Z |
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.69.024319 Physical Review C - Nuclear Physics, v. 69, n. 2, p. 15-, 2004. 1089-490X 0556-2813 http://hdl.handle.net/11449/228432 10.1103/PhysRevC.69.024319 2-s2.0-85035295100 |
url |
http://dx.doi.org/10.1103/PhysRevC.69.024319 http://hdl.handle.net/11449/228432 |
identifier_str_mv |
Physical Review C - Nuclear Physics, v. 69, n. 2, p. 15-, 2004. 1089-490X 0556-2813 10.1103/PhysRevC.69.024319 2-s2.0-85035295100 |
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.format.none.fl_str_mv |
15 |
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_ |
1808128585582510080 |