Abstract
Jerry Draayer has worked in approximate pseudospin and pseudo- U(3) symmetry in nuclei in the non-relativistic shell model. We show that pseudospin symmetry is a SU(2) relativistic symmetry of the Dirac Hamiltonian for which the sum of the vector and scalar potentials is a constant. We show that the Dirac Hamiltonian for which the sum of the vector harmonic oscillator potential and a scalar harmonic oscillator is a constant has a pseudo-U(3) symmetry and we derive the generators for this symmetry.
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