Perturbative interpretation of relativistic symmetries in nuclei

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.83.041301· OSTI ID:21499543

Haozhao, Liang ^[1]; Pengwei, Zhao; Ying, Zhang ^[1]; Jie, Meng ^[1]; Giai, Nguyen Van ^[2]

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1. State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871 (China)
2. Institut de Physique Nucleaire, IN2P3-CNRS and Universite Paris-Sud, F-91406 Orsay Cedex (France)

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.

• OSTI ID: 21499543
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 83; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
CORRECTIONS
DISTURBANCES
ENERGY RANGE
FUNCTIONS
HAMILTONIANS
HARMONIC OSCILLATORS
MATHEMATICAL OPERATORS
NUCLEI
PARTICLE PROPERTIES
PERTURBATION THEORY
QUANTUM OPERATORS
RELATIVISTIC RANGE
SPIN
SYMMETRY
WAVE FUNCTIONS