Splitting of Pseudospin and Spin Partners in the Relativistic Square Well

XU Qiang; ZHU Sheng-Jiang

Chinese Physics C> 2006, Vol. 30> Issue(S2) : 71-74

Splitting of Pseudospin and Spin Partners in the Relativistic Square Well

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 square well 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 square well radius plays an important role in the splittings of energy and wavefunction. The dependence of splittings with quantum numbers is also analyzed.

References

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. Arima A, Harvey M, Shimizu K. Phys. Lett., 1969, B30:5172. Hecht K T, Adler A. Nucl. Phys., 1969, A137: 1293. Ginocchio J N. Phys. Rev. Lett., 1997, 78: 4364. Ginocchio J N, Leviatan A. Phys. Rev. Lett., 2001, 87:0725025. Ginocchio J N. Phys. Rev., 2002, C66: 0643126. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1998, C58: R6287. MENG J, Sugawara-Tanabe K, Yamaji S et al. Phys. Rev.,1999, C59: 154

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XU Qiang and ZHU Sheng-Jiang. Splitting of Pseudospin and Spin Partners in the Relativistic Square Well[J]. Chinese Physics C, 2006, 30(S2): 71-74.

XU Qiang and ZHU Sheng-Jiang. Splitting of Pseudospin and Spin Partners in the Relativistic Square Well[J]. Chinese Physics C, 2006, 30(S2): 71-74. shu

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Received: 2006-10-13
Revised: 1900-01-01

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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 Square Well

XU Qiang ^,
ZHU Sheng-Jiang

Corresponding author: XU Qiang,

Department of Physics,Tsinghua University, Beijing 100084, China

Received Date: 2006-10-13
Accepted Date: 1900-01-01
Available Online: 2006-01-03

Abstract: Pseudospin symmetry and spin symmetry in the relativistic square well 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 square well radius plays an important role in the splittings of energy and wavefunction. The dependence of splittings with quantum numbers is also analyzed.