Relativistic Harmonic Oscillator with Spin Symmetry
Nuclear Theory
2011-07-19 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nucl-th/0503064,
title = {Relativistic Harmonic Oscillator with Spin Symmetry},
author = {Joseph N. Ginocchio},
journal= {arXiv preprint arXiv:nucl-th/0503064},
year = {2011}
}