On the relativistic foundations of pseudospin symmetry in nuclei

J. N. Ginocchio*, A. Leviatan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

174 Scopus citations

Abstract

We show that the generators of pseudospin symmetry are the non-relativistic limit of the generators of an SU(2) symmetry which leaves invariant the Dirac Hamiltonian with scalar and vector potentials equal in magnitude but opposite in sign, VV = -VS. Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials.

Original languageAmerican English
Pages (from-to)1-5
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume425
Issue number1-2
DOIs
StatePublished - 16 Apr 1998

Bibliographical note

Funding Information:
We thank A.S. Goldhaber for discussions and for informing us about Refs. [17–19, 22] . This research was supported in part by the United States Department of Energy and in part by a grant from the Israel Science Foundation.

Keywords

  • Dirac Hamiltonian
  • Pseudospin
  • Relativistic mean field theory
  • Symmetry

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