Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator

XU Qiang; ZHU Sheng-Jiang

Chinese Physics C> 2007, Vol. 31> Issue(3) : 251-257

Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator

XU Qiang ^, ,
ZHU Sheng-Jiang

Department of Physics, Tsinghua University, Beijing 100084, China

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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.

References

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator

Corresponding author: XU Qiang,

Department of Physics, Tsinghua University, Beijing 100084, China

Received Date: 2006-07-01

Accepted Date: 2006-08-04

Available Online: 2007-03-05

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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Splitting of Pseudospin and Spin Partners in the Relativistic Harmonic Oscillator

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