A Relativistic Symmetry in Nuclei
arXiv:nucl-th/9812035 · doi:10.1016/S0370-1573(99)00021-6
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.
20 pages including 5 figures, to be published in a special issue of Physics Reports in honor of Dick Slansky
References in corpus (1)
Cited by in corpus (69)
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- Relativistic Symmetry Suppresses Quark Spin-Orbit Splitting
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- The Isospin Asymmetry in the Pseudo-spin Dynamical Symmetry
- Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus
- Test of Pseudospin Symmetry in Deformed Nuclei
- Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
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- Confinement of spin-0 and spin-1/2 particles in a mixed vector-scalar coupling with unequal shapes for the potentials
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- Confinement of spinless particles by Coulomb potentials in two-dimensional space-time
- Pseudospin and spin symmetries in 1+1 dimensions: The case of the Coulomb potential
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- Relativistic symmetry breaking in light kaonic nuclei
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- Recent progresses on the pseudospin symmetry in single particle resonant states
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