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On the Relativistic Foundations of Pseudospin Symmetry in Nuclei

J. N. Ginocchio, A. Leviatan

nucl-tharXiv:nucl-th/9710019

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.

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