Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2010-04-14
Phys.Rev.C83:041301,2011
Physics
Nuclear Physics
Nuclear Theory
5 pages, 4 figures, Phys. Rev. C in press
Scientific paper
10.1103/PhysRevC.83.041301
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.
Giai Nguyen Van
Liang Haozhao
Meng Jie
Zhang Yajing
Zhao Pengwei
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