dorsal/arxiv
View SchemaA Relativistic Symmetry in Nuclei
| Authors | Joseph N. Ginocchio |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9812035 |
| URL | https://arxiv.org/abs/nucl-th/9812035 |
| DOI | 10.1016/S0370-1573(99)00021-6 |
| Journal | Phys.Rept. 315 (1999) 231-240 |
Abstract
We review the status of a quasi - degenerate doublets in nuclei, called pseudospin doublets, which were discovered about thirty years ago and the origins of which have remained a mystery, until recently. We show that pseudospin doublets originate from an SU(2) symmetry of the Dirac Hamiltonian which occurs when the scalar and vector potentials are opposite in sign but equal in magnitude. Furthermore, we survey the evidence that pseudospin symmetry is approximately conserved for a Dirac Hamiltonian with realistic scalar and vector potentials. We briefly discuss the relationship of pseudospin symmetry with chiral symmetry and the implications of pseudospin symmetry for the antinucleon spectrum in nuclei.
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"abstract": "We review the status of a quasi - degenerate doublets in nuclei, called\npseudospin doublets, which were discovered about thirty years ago and the\norigins of which have remained a mystery, until recently. We show that\npseudospin doublets originate from an SU(2) symmetry of the Dirac Hamiltonian\nwhich occurs when the scalar and vector potentials are opposite in sign but\nequal in magnitude. Furthermore, we survey the evidence that pseudospin\nsymmetry is approximately conserved for a Dirac Hamiltonian with realistic\nscalar and vector potentials. We briefly discuss the relationship of pseudospin\nsymmetry with chiral symmetry and the implications of pseudospin symmetry for\nthe antinucleon spectrum in nuclei.",
"arxiv_id": "nucl-th/9812035",
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"Joseph N. Ginocchio"
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"doi": "10.1016/S0370-1573(99)00021-6",
"journal_ref": "Phys.Rept. 315 (1999) 231-240",
"title": "A Relativistic Symmetry in Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9812035"
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