dc.contributor | Universidade Federal Fluminense (UFF) | |
dc.contributor | Universidade Estadual Paulista (UNESP) | |
dc.contributor | Universidade de Coimbra | |
dc.date.accessioned | 2022-04-29T08:14:44Z | |
dc.date.accessioned | 2022-12-20T02:38:50Z | |
dc.date.available | 2022-04-29T08:14:44Z | |
dc.date.available | 2022-12-20T02:38:50Z | |
dc.date.created | 2022-04-29T08:14:44Z | |
dc.date.issued | 2004-01-01 | |
dc.identifier | Physical Review C - Nuclear Physics, v. 69, n. 2, p. 15-, 2004. | |
dc.identifier | 1089-490X | |
dc.identifier | 0556-2813 | |
dc.identifier | http://hdl.handle.net/11449/228432 | |
dc.identifier | 10.1103/PhysRevC.69.024319 | |
dc.identifier | 2-s2.0-85035295100 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/5408567 | |
dc.description.abstract | A generalized relativistic harmonic oscillator for spin 1/2 particles is studied. The Dirac Hamiltonian contains a scalar [Formula Presented] and a vector [Formula Presented] quadratic potentials in the radial coordinate, as well as a tensor potential [Formula Presented] linear in [Formula Presented]. Setting either or both combinations [Formula Presented] and [Formula Presented] to zero, analytical solutions for bound states of the corresponding Dirac equations are found. The eigenenergies and wave functions are presented and particular cases are discussed, devoting a special attention to the nonrelativistic limit and the case [Formula Presented], for which pseudospin symmetry is exact. We also show that the case [Formula Presented] is the most natural generalization of the nonrelativistic harmonic oscillator. The radial node structure of the Dirac spinor is studied for several combinations of harmonic-oscillator potentials, and that study allows us to explain why nuclear intruder levels cannot be described in the framework of the relativistic harmonic oscillator in the pseudospin limit. © 2004 The American Physical Society. | |
dc.language | eng | |
dc.relation | Physical Review C - Nuclear Physics | |
dc.source | Scopus | |
dc.title | Pseudospin symmetry and the relativistic harmonic oscillator | |
dc.type | Artículos de revistas | |