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/11449/67640 |
Resumo: | A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U linear in r. Setting either or both combinations Σ=5+V and δ=V-S 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 Σ=0, for which pseudospin symmetry is exact. We also show that the case U=δ=0 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. |
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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 S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U linear in r. Setting either or both combinations Σ=5+V and δ=V-S 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 Σ=0, for which pseudospin symmetry is exact. We also show that the case U=δ=0 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.Instituto de Física Universidade Federal Fluminense, 24210-340 NiteróiDepartamento de Física Universidade Estadual Paulista, 12516-410 Guaratingueta, Sao PauloDepartamento de Física Ctro. de Física Computational Universidade de Coimbra, P-3004-516 CoimbraDepartamento de Física Universidade Estadual Paulista, 12516-410 Guaratingueta, Sao PauloUniversidade Federal Fluminense (UFF)Universidade Estadual Paulista (Unesp)Universidade de CoimbraLisboa, R.Malheiro, M.Castro, A. S. de [UNESP]Alberto, P.Fiolhais, M.2014-05-27T11:21:02Z2014-05-27T11:21:02Z2004-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article243191-2431915application/pdfhttp://dx.doi.org/10.1103/PhysRevC.69.024319Physical Review C - Nuclear Physics, v. 69, n. 2, p. 243191-2431915, 2004.0556-2813http://hdl.handle.net/11449/6764010.1103/PhysRevC.69.024319WOS:0002204913000292-s2.0-18428431392-s2.0-1842843139.pdf5811700083195480Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review C: Nuclear Physicsinfo:eu-repo/semantics/openAccess2024-07-01T20:52:37Zoai:repositorio.unesp.br:11449/67640Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:13:31.227797Repositório 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. Castro, A. S. de [UNESP] Alberto, P. Fiolhais, M. |
author_role |
author |
author2 |
Malheiro, M. Castro, A. S. de [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. Castro, A. S. de [UNESP] Alberto, P. Fiolhais, M. |
description |
A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar S and a vector V quadratic potentials in the radial coordinate, as well as a tensor potential U linear in r. Setting either or both combinations Σ=5+V and δ=V-S 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 Σ=0, for which pseudospin symmetry is exact. We also show that the case U=δ=0 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. |
publishDate |
2004 |
dc.date.none.fl_str_mv |
2004-02-01 2014-05-27T11:21:02Z 2014-05-27T11:21:02Z |
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. 243191-2431915, 2004. 0556-2813 http://hdl.handle.net/11449/67640 10.1103/PhysRevC.69.024319 WOS:000220491300029 2-s2.0-1842843139 2-s2.0-1842843139.pdf 5811700083195480 |
url |
http://dx.doi.org/10.1103/PhysRevC.69.024319 http://hdl.handle.net/11449/67640 |
identifier_str_mv |
Physical Review C - Nuclear Physics, v. 69, n. 2, p. 243191-2431915, 2004. 0556-2813 10.1103/PhysRevC.69.024319 WOS:000220491300029 2-s2.0-1842843139 2-s2.0-1842843139.pdf 5811700083195480 |
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 |
243191-2431915 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_ |
1808129406058627072 |