Spin and pseudospin symmetries and the equivalent spectra of relativistic spin1/2 and spin0 particles
Abstract
We show that the conditions which originate the spin and pseudospin symmetries in the Dirac equation are the same that produce equivalent energy spectra of relativistic spin1/2 and spin0 particles in the presence of vector and scalar potentials. The conclusions do not depend on the particular shapes of the potentials and can be important in different fields of physics. When both scalar and vector potentials are spherical, these conditions for isospectrality imply that the spinorbit and Darwin terms of either the upper component or the lower component of the Dirac spinor vanish, making it equivalent, as far as energy is concerned, to a spin0 state. In this case, besides energy, a scalar particle will also have the same orbital angular momentum as the (conserved) orbital angular momentum of either the upper or lower component of the corresponding spin1/2 particle. We point out a few possible applications of this result.
 Authors:
 Department of Physics and Centre for Computational Physics, University of Coimbra, P3004516 Coimbra (Portugal)
 (Brazil)
 Publication Date:
 OSTI Identifier:
 20995245
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.75.047303; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DIRAC EQUATION; ENERGY SPECTRA; ORBITAL ANGULAR MOMENTUM; PARTICLES; POTENTIALS; RELATIVISTIC RANGE; SCALARS; SPHERICAL CONFIGURATION; SPIN; SYMMETRY; VECTORS
Citation Formats
Alberto, P., Castro, A. S. de, Malheiro, M., Departamento de Fisica e Quimica, Universidade Estadual Paulista, 12516410 Guaratingueta, SP, and Departamento de Fisica, Instituto Tecnologico de Aeronautica, CTA, 12228900 Sao Jose dos Campos, SP, Brazil and Instituto de Fisica, Universidade Federal Fluminense, 24210340 Niteroi. Spin and pseudospin symmetries and the equivalent spectra of relativistic spin1/2 and spin0 particles. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.047303.
Alberto, P., Castro, A. S. de, Malheiro, M., Departamento de Fisica e Quimica, Universidade Estadual Paulista, 12516410 Guaratingueta, SP, & Departamento de Fisica, Instituto Tecnologico de Aeronautica, CTA, 12228900 Sao Jose dos Campos, SP, Brazil and Instituto de Fisica, Universidade Federal Fluminense, 24210340 Niteroi. Spin and pseudospin symmetries and the equivalent spectra of relativistic spin1/2 and spin0 particles. United States. doi:10.1103/PHYSREVC.75.047303.
Alberto, P., Castro, A. S. de, Malheiro, M., Departamento de Fisica e Quimica, Universidade Estadual Paulista, 12516410 Guaratingueta, SP, and Departamento de Fisica, Instituto Tecnologico de Aeronautica, CTA, 12228900 Sao Jose dos Campos, SP, Brazil and Instituto de Fisica, Universidade Federal Fluminense, 24210340 Niteroi. Sun .
"Spin and pseudospin symmetries and the equivalent spectra of relativistic spin1/2 and spin0 particles". United States.
doi:10.1103/PHYSREVC.75.047303.
@article{osti_20995245,
title = {Spin and pseudospin symmetries and the equivalent spectra of relativistic spin1/2 and spin0 particles},
author = {Alberto, P. and Castro, A. S. de and Malheiro, M. and Departamento de Fisica e Quimica, Universidade Estadual Paulista, 12516410 Guaratingueta, SP and Departamento de Fisica, Instituto Tecnologico de Aeronautica, CTA, 12228900 Sao Jose dos Campos, SP, Brazil and Instituto de Fisica, Universidade Federal Fluminense, 24210340 Niteroi},
abstractNote = {We show that the conditions which originate the spin and pseudospin symmetries in the Dirac equation are the same that produce equivalent energy spectra of relativistic spin1/2 and spin0 particles in the presence of vector and scalar potentials. The conclusions do not depend on the particular shapes of the potentials and can be important in different fields of physics. When both scalar and vector potentials are spherical, these conditions for isospectrality imply that the spinorbit and Darwin terms of either the upper component or the lower component of the Dirac spinor vanish, making it equivalent, as far as energy is concerned, to a spin0 state. In this case, besides energy, a scalar particle will also have the same orbital angular momentum as the (conserved) orbital angular momentum of either the upper or lower component of the corresponding spin1/2 particle. We point out a few possible applications of this result.},
doi = {10.1103/PHYSREVC.75.047303},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}

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