Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles

dc.creatorAlberto, P.
dc.creatorde Castro, A. S.
dc.creatorMalheiro, M.
dc.date2007-04-03
dc.date.accessioned2026-07-07T10:20:15Z
dc.date.available2026-07-07T10:20:15Z
dc.descriptionWe 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 spin-1/2 and spin-0 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 spin-orbit 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 spin-0 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 spin-1/2 particle. We point out a few possible applications of this result.
dc.description5 pages, uses revtex macros
dc.identifierhttps://arxiv.org/abs/0704.0353
dc.identifierhttp://arxiv.org/abs/0704.0353
dc.identifierPhys.Rev.C75:047303,2007
dc.identifierdoi:10.1103/PhysRevC.75.047303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174786
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleSpin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
dc.typetext

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