4.5 Article

Perturbative interpretation of relativistic symmetries in nuclei

期刊

PHYSICAL REVIEW C
卷 83, 期 4, 页码 -

出版社

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.83.041301

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资金

  1. State 973 Program [2007CB815000]
  2. NSFC [10975008]
  3. China Postdoctoral Science Foundation [20100480149]
  4. French Embassy in Beijing

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Perturbation theory is used systematically to investigate the symmetries of the Dirac Hamiltonian and their breaking in atomic nuclei. Using the perturbation corrections to the single-particle energies and wave functions, the link between the single-particle states in realistic nuclei and their counterparts in the symmetry limits is discussed. It is shown that the limit of S - V = const and relativistic harmonic oscillator (RHO) potentials can be connected to the actual Dirac Hamiltonian by the perturbation method, while the limit of S + V = const cannot, where S and V are the scalar and vector potentials, respectively. This indicates that the realistic system can be treated as a perturbation of spin-symmetric Hamiltonians, and the energy splitting of the pseudospin doublets can be regarded as a result of small perturbation around the Hamiltonian with RHO potentials, where the pseudospin doublets are quasidegenerate.

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