Relativistic Harmonic Oscillator with Spin Symmetry

Details Relativistic Harmonic Oscillator with Spin Symmetry Relativistic Harmonic Oscillator with Spin Symmetry

2005-03-25

arxiv.org/abs/nucl-th/0503064v1

Phys.Rev.C69:034318,2004

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

10.1103/PhysRevC.69.034318

The eigenfunctions and eigenenergies for a Dirac Hamiltonian with equal scalar and vector harmonic oscillator potentials are derived. Equal scalar and vector potentials may be applicable to the spectrum of an antinucleion imbedded in a nucleus. Triaxial, axially deformed, and spherical oscillator potentials are considered. The spectrum has a spin symmetry for all cases and, for the spherical harmonic oscillator potential, a higher symmetry analogous to the SU(3) symmetry of the non-relativistic harmonic oscillator is discussed.

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