Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevC.73.054309 http://hdl.handle.net/11449/224752 |
Resumo: | We solve the generalized relativistic harmonic oscillator in 1+1 dimensions, i.e., including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite signs. We consider positive and negative quadratic potentials and discuss in detail their bound-state solutions for fermions and antifermions. The main features of these bound states are the same as the ones of the generalized three-dimensional relativistic harmonic oscillator bound states. The solutions found for zero pseudoscalar potential are related to the spin and pseudospin symmetry of the Dirac equation in 3+1 dimensions. We show how the charge conjugation and γ5 chiral transformations relate the several spectra obtained and find that for massless particles the spin and pseudospin symmetry-related problems have the same spectrum but different spinor solutions. Finally, we establish a relation of the solutions found with single-particle states of nuclei described by relativistic mean-field theories with scalar, vector, and isoscalar tensor interactions and discuss the conditions in which one may have both nucleon and antinucleon bound states. © 2006 The American Physical Society. |
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Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillatorWe solve the generalized relativistic harmonic oscillator in 1+1 dimensions, i.e., including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite signs. We consider positive and negative quadratic potentials and discuss in detail their bound-state solutions for fermions and antifermions. The main features of these bound states are the same as the ones of the generalized three-dimensional relativistic harmonic oscillator bound states. The solutions found for zero pseudoscalar potential are related to the spin and pseudospin symmetry of the Dirac equation in 3+1 dimensions. We show how the charge conjugation and γ5 chiral transformations relate the several spectra obtained and find that for massless particles the spin and pseudospin symmetry-related problems have the same spectrum but different spinor solutions. Finally, we establish a relation of the solutions found with single-particle states of nuclei described by relativistic mean-field theories with scalar, vector, and isoscalar tensor interactions and discuss the conditions in which one may have both nucleon and antinucleon bound states. © 2006 The American Physical Society.Departamento de Física e Química Universidade Estadual Paulista, 12516-410 Guaratinguetá, SPDepartamento de Física Centro de Física Computacional Universidade de Coimbra, P-3004-516 CoimbraDepartamento de Física Instituto Tecnológico de Aeronáutica CTA, São José dos Campos, SPInstituto de Física Universidade Federal Fluminense, 24210-340 NiteróiDepartamento de Física e Química Universidade Estadual Paulista, 12516-410 Guaratinguetá, SPUniversidade Estadual Paulista (UNESP)Universidade de CoimbraCTAUniversidade Federal Fluminense (UFF)Castro, A. S. De [UNESP]Alberto, P.Lisboa, R.Malheiro, M.2022-04-28T20:07:43Z2022-04-28T20:07:43Z2006-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevC.73.054309Physical Review C - Nuclear Physics, v. 73, n. 5, 2006.1089-490X0556-2813http://hdl.handle.net/11449/22475210.1103/PhysRevC.73.0543092-s2.0-33646547622Scopusreponame: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:11449/224752Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:09:43.718272Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator |
title |
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator |
spellingShingle |
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator Castro, A. S. De [UNESP] |
title_short |
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator |
title_full |
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator |
title_fullStr |
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator |
title_full_unstemmed |
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator |
title_sort |
Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator |
author |
Castro, A. S. De [UNESP] |
author_facet |
Castro, A. S. De [UNESP] Alberto, P. Lisboa, R. Malheiro, M. |
author_role |
author |
author2 |
Alberto, P. Lisboa, R. Malheiro, M. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) Universidade de Coimbra CTA Universidade Federal Fluminense (UFF) |
dc.contributor.author.fl_str_mv |
Castro, A. S. De [UNESP] Alberto, P. Lisboa, R. Malheiro, M. |
description |
We solve the generalized relativistic harmonic oscillator in 1+1 dimensions, i.e., including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite signs. We consider positive and negative quadratic potentials and discuss in detail their bound-state solutions for fermions and antifermions. The main features of these bound states are the same as the ones of the generalized three-dimensional relativistic harmonic oscillator bound states. The solutions found for zero pseudoscalar potential are related to the spin and pseudospin symmetry of the Dirac equation in 3+1 dimensions. We show how the charge conjugation and γ5 chiral transformations relate the several spectra obtained and find that for massless particles the spin and pseudospin symmetry-related problems have the same spectrum but different spinor solutions. Finally, we establish a relation of the solutions found with single-particle states of nuclei described by relativistic mean-field theories with scalar, vector, and isoscalar tensor interactions and discuss the conditions in which one may have both nucleon and antinucleon bound states. © 2006 The American Physical Society. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-01-01 2022-04-28T20:07:43Z 2022-04-28T20:07:43Z |
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.73.054309 Physical Review C - Nuclear Physics, v. 73, n. 5, 2006. 1089-490X 0556-2813 http://hdl.handle.net/11449/224752 10.1103/PhysRevC.73.054309 2-s2.0-33646547622 |
url |
http://dx.doi.org/10.1103/PhysRevC.73.054309 http://hdl.handle.net/11449/224752 |
identifier_str_mv |
Physical Review C - Nuclear Physics, v. 73, n. 5, 2006. 1089-490X 0556-2813 10.1103/PhysRevC.73.054309 2-s2.0-33646547622 |
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 |
|
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1808128469551284224 |