Pseudospin symmetry in single particle resonant states
arXiv:1204.5069 · doi:10.1103/PhysRevLett.109.072501
Abstract
The pseudospin symmetry is a relativistic dynamical symmetry connected with the small component of the Dirac spinor. The origin of pseudospin symmetry in single particle bound states in atomic nuclei has been revealed and studied extensively. By examining the zeros of Jost functions corresponding to the small components of Dirac wave functions and phase shifts of continuum states, we show that the pseudospin symmetry in single particle resonant states in nuclei is conserved when the attractive scalar and repulsive vector potentials have the same magnitude but opposite sign. The exact conservation and the breaking of pseudospin symmetry are illustrated for single particle resonances in spherical square-well and Woods-Saxon potentials.
5 pages, 2 figures; Figure 2 and discussion modified; Phys. Rev. Lett., in press
References in corpus (9)
- Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
- Nuclear halo structure and pseudo-spin symmetry
- Real stabilization method for nuclear single particle resonances
- Perturbative interpretation of relativistic symmetries in nuclei
- Spin symmetry in Dirac negative energy spectrum in density-dependent relativistic Hartree-Fock theory
- Isospin dependence of pseudospin symmetry in nuclear resonant states
- Symmetries and Supersymmetries of the Dirac Hamiltonian with Axially-Deformed Scalar and Vector Potentials
- Pseudospin, supersymmetry and the shell structure of atomic nuclei
- Calculating few-body resonances using an oscillator trap
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- Relativistic interpretation on the nature of nuclear tensor force
- Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
- Study of single-particle resonant states with Green's function method
- Pseudospin and spin symmetries in 1+1 dimensions: The case of the Coulomb potential
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- Temperature effects on nuclear pseudospin symmetry in the Dirac-Hartree-Bogoliubov formalism
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