dorsal/arxiv
View SchemaPerturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator
| Authors | R. Lisboa, M. Malheiro, A. S. de Castro, P. Alberto, M. Fiolhais |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0410096 |
| URL | https://arxiv.org/abs/nucl-th/0410096 |
| DOI | 10.1142/S0218271804005675 |
| Journal | Int.J.Mod.Phys. D13 (2004) 1447-1451 |
Abstract
We show that relativistic mean fields theories with scalar, $S$, and vector, $V$, quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry {\it and positive energy bound states} when $S=-V$. The eigenenergies are quite different from those of the non-relativistic harmonic oscillator. We also discuss a mechanism for perturbatively breaking this symmetry by introducing a tensor potential. Our results shed light into the intrinsic relativistic nature of the pseudospin symmetry, which might be important in high density systems such as neutron stars.
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"abstract": "We show that relativistic mean fields theories with scalar, $S$, and vector,\n$V$, quadratic radial potentials can generate a harmonic oscillator with exact\npseudospin symmetry {\\it and positive energy bound states} when $S=-V$. The\neigenenergies are quite different from those of the non-relativistic harmonic\noscillator. We also discuss a mechanism for perturbatively breaking this\nsymmetry by introducing a tensor potential. Our results shed light into the\nintrinsic relativistic nature of the pseudospin symmetry, which might be\nimportant in high density systems such as neutron stars.",
"arxiv_id": "nucl-th/0410096",
"authors": [
"R. Lisboa",
"M. Malheiro",
"A. S. de Castro",
"P. Alberto",
"M. Fiolhais"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/S0218271804005675",
"journal_ref": "Int.J.Mod.Phys. D13 (2004) 1447-1451",
"title": "Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator",
"url": "https://arxiv.org/abs/nucl-th/0410096"
},
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