Pseudospin and spin symmetries in the relativistic harmonic oscillator
Autor(a) principal: | |
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Data de Publicação: | 2006 |
Outros Autores: | , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://www-f1.ijs.si/BledPub/bled2006.pdf http://hdl.handle.net/11449/69346 |
Resumo: | We compute the analytical solutions of the generalized relativistic harmonic oscillator in 1+1 dimensions, including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite signs These are the conditions in which pseudospin or spin symmetries can be realized We consider positive and negative quadratic potentials and present their bound-state solutions for fermions and an-tifermions. We relate the spin-type and pseudospin-type spectra through charge conjugation and γ5 chiral transformations. Finally, we establish a relation of the solutions found with single-particle states of nuclei described by relativistic mean-field theories with tensor interactions and discuss the conditions in which one may have both nucleon and antin-ucleon bound states. |
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Pseudospin and spin symmetries in the relativistic harmonic oscillatorBound stateCharge conjugationRelativistic harmonic oscillatorsRelativistic mean-field theoriesScalar and vector potentialsSingle particle stateSpin symmetryTensor interactionElementary particlesMean field theoryOscillators (mechanical)We compute the analytical solutions of the generalized relativistic harmonic oscillator in 1+1 dimensions, including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite signs These are the conditions in which pseudospin or spin symmetries can be realized We consider positive and negative quadratic potentials and present their bound-state solutions for fermions and an-tifermions. We relate the spin-type and pseudospin-type spectra through charge conjugation and γ5 chiral transformations. Finally, we establish a relation of the solutions found with single-particle states of nuclei described by relativistic mean-field theories with tensor interactions and discuss the conditions in which one may have both nucleon and antin-ucleon bound states.Departamento de Física Centro de Física Computacional Universidade de CoimbraDepartamento de Física e Química Universidade Estadual Paulista, 12516-410 Guaratinguetá, SPInstituto Tecnologico de Aeronáutica CTA, 12228-900, São José dos Campos, SPInstituto de Física Universidade Federal Fluminense, NiteróiDepartamento de Física e Química Universidade Estadual Paulista, 12516-410 Guaratinguetá, SPUniversidade de CoimbraUniversidade Estadual Paulista (Unesp)CTAUniversidade Federal Fluminense (UFF)Albertoa, P.Castro, A. [UNESP]Malheiro, M.Lisboa, R.2014-05-27T11:22:05Z2014-05-27T11:22:05Z2006-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject1-6http://www-f1.ijs.si/BledPub/bled2006.pdfBlejske Delavnice iz Fizike - Bled Workshops in Physics, v. 7, n. 1, p. 1-6, 2006.1580-4992http://hdl.handle.net/11449/693462-s2.0-84882956115Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBlejske Delavnice iz Fizike - Bled Workshops in Physics0,135info:eu-repo/semantics/openAccess2024-07-01T20:52:57Zoai:repositorio.unesp.br:11449/69346Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:01:59.920553Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Pseudospin and spin symmetries in the relativistic harmonic oscillator |
title |
Pseudospin and spin symmetries in the relativistic harmonic oscillator |
spellingShingle |
Pseudospin and spin symmetries in the relativistic harmonic oscillator Albertoa, P. Bound state Charge conjugation Relativistic harmonic oscillators Relativistic mean-field theories Scalar and vector potentials Single particle state Spin symmetry Tensor interaction Elementary particles Mean field theory Oscillators (mechanical) |
title_short |
Pseudospin and spin symmetries in the relativistic harmonic oscillator |
title_full |
Pseudospin and spin symmetries in the relativistic harmonic oscillator |
title_fullStr |
Pseudospin and spin symmetries in the relativistic harmonic oscillator |
title_full_unstemmed |
Pseudospin and spin symmetries in the relativistic harmonic oscillator |
title_sort |
Pseudospin and spin symmetries in the relativistic harmonic oscillator |
author |
Albertoa, P. |
author_facet |
Albertoa, P. Castro, A. [UNESP] Malheiro, M. Lisboa, R. |
author_role |
author |
author2 |
Castro, A. [UNESP] Malheiro, M. Lisboa, R. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade de Coimbra Universidade Estadual Paulista (Unesp) CTA Universidade Federal Fluminense (UFF) |
dc.contributor.author.fl_str_mv |
Albertoa, P. Castro, A. [UNESP] Malheiro, M. Lisboa, R. |
dc.subject.por.fl_str_mv |
Bound state Charge conjugation Relativistic harmonic oscillators Relativistic mean-field theories Scalar and vector potentials Single particle state Spin symmetry Tensor interaction Elementary particles Mean field theory Oscillators (mechanical) |
topic |
Bound state Charge conjugation Relativistic harmonic oscillators Relativistic mean-field theories Scalar and vector potentials Single particle state Spin symmetry Tensor interaction Elementary particles Mean field theory Oscillators (mechanical) |
description |
We compute the analytical solutions of the generalized relativistic harmonic oscillator in 1+1 dimensions, including a linear pseudoscalar potential and quadratic scalar and vector potentials which have equal or opposite signs These are the conditions in which pseudospin or spin symmetries can be realized We consider positive and negative quadratic potentials and present their bound-state solutions for fermions and an-tifermions. We relate the spin-type and pseudospin-type spectra through charge conjugation and γ5 chiral transformations. Finally, we establish a relation of the solutions found with single-particle states of nuclei described by relativistic mean-field theories with tensor interactions and discuss the conditions in which one may have both nucleon and antin-ucleon bound states. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006-12-01 2014-05-27T11:22:05Z 2014-05-27T11:22:05Z |
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://www-f1.ijs.si/BledPub/bled2006.pdf Blejske Delavnice iz Fizike - Bled Workshops in Physics, v. 7, n. 1, p. 1-6, 2006. 1580-4992 http://hdl.handle.net/11449/69346 2-s2.0-84882956115 |
url |
http://www-f1.ijs.si/BledPub/bled2006.pdf http://hdl.handle.net/11449/69346 |
identifier_str_mv |
Blejske Delavnice iz Fizike - Bled Workshops in Physics, v. 7, n. 1, p. 1-6, 2006. 1580-4992 2-s2.0-84882956115 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Blejske Delavnice iz Fizike - Bled Workshops in Physics 0,135 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1-6 |
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_ |
1808129151877513216 |