A Relativistic Symmetry in Nuclei: Its origins and consequences

Details A Relativistic Symmetry in Nuclei: Its origins and consequences A Relativistic Symmetry in Nuclei: Its origins and consequences

2000-12-20

arxiv.org/abs/nucl-th/0012078v1

Nucl.Phys. A690 (2001) 41-51

Physics

Nuclear Physics

Nuclear Theory

Invited Talk for "Nuclei and Nucleons", Darmstadt, Germany, Oct. 11-13,2000; International Symposium on the occasion of Achim

Scientific paper

10.1016/S0375-9474(01)00929-0

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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