Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator

  • Pseudospin symmetry and spin symmetry in the relativistic harmonic oscillator are investigated systematically by solving the Dirac equation with scalar and vector potentials and are found to be a good approximation in realistic nuclei such as 208Pb. The pseudospin breaking and spin breaking are shown in correlation with nuclear mean field. The harmonic oscillator frequency and the distance of well-bottom deviation from the center of the potential play an important role in the splittings of energy and wavefunction. The energy-level crossing are found for all the pseudospin partners. The dependence of splittings with quantum numbers is also analyzed.
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XU Qiang and ZHU Sheng-Jiang. Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator[J]. Chinese Physics C, 2007, 31(3): 251-257.
XU Qiang and ZHU Sheng-Jiang. Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator[J]. Chinese Physics C, 2007, 31(3): 251-257. shu
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Received: 2006-07-01
Revised: 2006-08-04
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Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator

    Corresponding author: XU Qiang,
  • Department of Physics, Tsinghua University, Beijing 100084, China

Abstract: Pseudospin symmetry and spin symmetry in the relativistic harmonic oscillator are investigated systematically by solving the Dirac equation with scalar and vector potentials and are found to be a good approximation in realistic nuclei such as 208Pb. The pseudospin breaking and spin breaking are shown in correlation with nuclear mean field. The harmonic oscillator frequency and the distance of well-bottom deviation from the center of the potential play an important role in the splittings of energy and wavefunction. The energy-level crossing are found for all the pseudospin partners. The dependence of splittings with quantum numbers is also analyzed.

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