dorsal/arxiv
View SchemaRelativistic Harmonic Oscillator with Spin Symmetry
| Authors | Joseph N. Ginocchio |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0503064 |
| URL | https://arxiv.org/abs/nucl-th/0503064 |
| DOI | 10.1103/PhysRevC.69.034318 |
| Journal | Phys.Rev.C69:034318,2004 |
Abstract
The eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials are derived. Equal scalar and vector potentials may be applicable to the spectrum of an antinucleion imbedded in a nucleus. Triaxial, axially deformed, and spherical oscillator potentials are considered. The spectrum has a spin symmetry for all cases and, for the spherical harmonic oscillator potential, a higher symmetry analogous to the SU(3) symmetry of the non-relativistic harmonic oscillator is discussed.
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"abstract": "The eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal\nscalar and vector harmonic oscillator potentials are derived. Equal scalar and\nvector potentials may be applicable to the spectrum of an antinucleion imbedded\nin a nucleus. Triaxial, axially deformed, and spherical oscillator potentials\nare considered. The spectrum has a spin symmetry for all cases and, for the\nspherical harmonic oscillator potential, a higher symmetry analogous to the\nSU(3) symmetry of the non-relativistic harmonic oscillator is discussed.",
"arxiv_id": "nucl-th/0503064",
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"Joseph N. Ginocchio"
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"doi": "10.1103/PhysRevC.69.034318",
"journal_ref": "Phys.Rev.C69:034318,2004",
"title": "Relativistic Harmonic Oscillator with Spin Symmetry",
"url": "https://arxiv.org/abs/nucl-th/0503064"
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