On the Relativistic Foundations of Pseudospin Symmetry in Nuclei

Details On the Relativistic Foundations of Pseudospin Symmetry in Nuclei On the Relativistic Foundations of Pseudospin Symmetry in Nuclei

1997-10-07

arxiv.org/abs/nucl-th/9710019v2

Phys. Lett. B425 (1998) 1

Physics

Nuclear Physics

Nuclear Theory

11 pages, Revtex, Phys. Lett. B, in press

Scientific paper

10.1016/S0370-2693(98)00188-9

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, $V_V = - V_S$. Furthermore, within this framework, we demonstrate that this symmetry may be approximately conserved for realistic scalar and vector potentials.

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