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Perturbative interpretation of relativistic symmetries in nuclei

Abstract : 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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Contributor : Sophie Heurteau <>
Submitted on : Monday, May 2, 2011 - 5:28:42 PM
Last modification on : Wednesday, September 16, 2020 - 4:08:32 PM

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H. Liang, P. Zhao, Y. Zhang, J. Meng, N. van Giai. Perturbative interpretation of relativistic symmetries in nuclei. Physical Review C, American Physical Society, 2011, 83, pp.041301. ⟨10.1103/PhysRevC.83.041301⟩. ⟨in2p3-00589930⟩

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