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.

5 pages, 4 figures, Phys. Rev. C in press

References in corpus (5)

• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Pseudo-spin symmetry in density-dependent relativistic Hartree-Fock theory
• Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• Relativistic U(3) Symmetry and Pseudo-U(3) Symmetry of the Dirac Hamiltonian

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• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Density-dependent deformed relativistic Hartree-Bogoliubov theory in continuum
• Three-dimensional mesh calculations for covariant density functional theory
• Relativistic Killingbeck Energy States Under an External Magnetic Fields
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• The bound state solutions of the $D$-dimensional Schrödinger equation for the Woods-Saxon potential
• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method
• Pseudospin symmetry in nuclear structure and its supersymmetric representation