Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade de Coimbra-
Autor(es): dc.contributorCTA-
Autor(es): dc.contributorUniversidade Federal Fluminense (UFF)-
Autor(es): dc.creatorCastro, A. S. De-
Autor(es): dc.creatorAlberto, P.-
Autor(es): dc.creatorLisboa, R.-
Autor(es): dc.creatorMalheiro, M.-
Data de aceite: dc.date.accessioned2025-08-21T16:19:37Z-
Data de disponibilização: dc.date.available2025-08-21T16:19:37Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2006-01-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1103/PhysRevC.73.054309-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/224752-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/224752-
Descrição: dc.descriptionWe 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.-
Descrição: dc.descriptionDepartamento de Física e Química Universidade Estadual Paulista, 12516-410 Guaratinguetá, SP-
Descrição: dc.descriptionDepartamento de Física Centro de Física Computacional Universidade de Coimbra, P-3004-516 Coimbra-
Descrição: dc.descriptionDepartamento de Física Instituto Tecnológico de Aeronáutica CTA, São José dos Campos, SP-
Descrição: dc.descriptionInstituto de Física Universidade Federal Fluminense, 24210-340 Niterói-
Descrição: dc.descriptionDepartamento de Física e Química Universidade Estadual Paulista, 12516-410 Guaratinguetá, SP-
Idioma: dc.languageen-
Relação: dc.relationPhysical Review C - Nuclear Physics-
???dc.source???: dc.sourceScopus-
Título: dc.titleRelating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator-
Tipo de arquivo: dc.typelivro digital-
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