Chin. Phys. Lett.  2003, Vol. 20 Issue (3): 358-361    DOI:
Original Articles |
Pseudospin Symmetry in Relativistic Framework with Harmonic Oscillator Potential and Woods-Saxon Potential
CHEN Ti-Sheng1;LÜ Hong-Feng1;MENG Jie1,2,3;ZHANG Shuang-Quan1;ZHOU Shan-Gui1,2,3
1School of Physics, Peking University, Beijing 100871 2Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080 3Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000
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CHEN Ti-Sheng, LÜ, Hong-Feng et al  2003 Chin. Phys. Lett. 20 358-361
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Abstract Based on the Dirac equation, we discuss the exact pseudospin symmetry and some examples are presented. For harmonic oscillator potential there exist bound states under the condition of the exact pseudospin symmetry, Vs+Vv = 0, and even usual intruder orbits will have degenerated pseudospin partners. Apart from the harmonic oscillator potential, a Woods-Saxon potential is introduced to eliminate the redundant degeneracies due to the speciality of harmonic oscillator potential except the pseudospin degeneracy.




Keywords: 24.10.Jv      21.60.Cs      24.80.+y      21.10.-k     
Published: 01 March 2003
PACS:  24.10.Jv (Relativistic models)  
  21.60.Cs (Shell model)  
  24.80.+y (Nuclear tests of fundamental interactions and symmetries)  
  21.10.-k (Properties of nuclei; nuclear energy levels)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2003/V20/I3/0358
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CHEN Ti-Sheng
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