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Author Haozhao, Liang ♦ Pengwei, Zhao ♦ Ying, Zhang ♦ Jie, Meng ♦ Giai, Nguyen Van
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword NUCLEAR PHYSICS AND RADIATION PHYSICS ♦ CORRECTIONS ♦ DISTURBANCES ♦ HAMILTONIANS ♦ HARMONIC OSCILLATORS ♦ NUCLEI ♦ PERTURBATION THEORY ♦ RELATIVISTIC RANGE ♦ SPIN ♦ SYMMETRY ♦ WAVE FUNCTIONS ♦ ANGULAR MOMENTUM ♦ ENERGY RANGE ♦ FUNCTIONS ♦ MATHEMATICAL OPERATORS ♦ PARTICLE PROPERTIES ♦ QUANTUM OPERATORS
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.
ISSN 05562813
Educational Use Research
Learning Resource Type Article
Publisher Date 2011-04-15
Publisher Place United States
Journal Physical Review. C, Nuclear Physics
Volume Number 83
Issue Number 4


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