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A Relativistic Symmetry in Nuclei: Its origins and consequences

Joseph N. Ginocchio
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Abstract

We review the status of 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 sum of the scalar and vector potentials is a constant. Furthermore, we survey the evidence that pseudospin symmetry is approximately conserved in nuclear spectra and eigenfunctions and in nucleon-nucleus scattering for a Dirac Hamiltonian with realistic nuclear scalar and vector potentials.

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Joseph N. Ginocchio. 2000-12-20. A Relativistic Symmetry in Nuclei: Its origins and consequences. https://doi.org/10.1016/s0375-9474(01)00929-0

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