Isospin dependence of pseudospin symmetry in nuclear resonant states

Abstract

The relativistic mean field theory in combination with the analytic continuation in the coupling constant method is used to determine the energies and widths of single-particle resonant states in Sn isotopes. It is shown that there exists clear shell structure in the resonant levels as appearing in the bound levels. In particular, the isospin dependence of pseudospin symmetry is clearly shown in the resonant states, is consistent with that in the bound states, where the splittings of energies and widths between pseudospin doublets are found in correlation with the quantum numbers of single-particle states, as well as the nuclear mass number. The similar phenomenon also emerges in the spin partners.

7 pages, 6 figures

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Cited by in corpus (21)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Pseudospin symmetry in single particle resonant states
• Bound state solutions of the Dirac-Rosen-Morse potential with spin and pseudospin symmetry
• Pseudospin symmetry in single particle resonances in spherical square wells
• Pseudospin symmetry in supersymmetric quantum mechanics: Schrödinger equations
• Exploration of relativistic symmetry by the similarity renormalization group
• Probing the resonance of Dirac particle by the application of complex momentum representation
• Cosmic Behavior, Statefinder Diagnostic and $w-w^{\prime }$ Analysis for Interacting NADE model in Non-flat Universe
• Resonant states of deformed nuclei in complex scaling method
• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
• Pseudospin, supersymmetry and the shell structure of atomic nuclei
• 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
• Further investigation of the relativistic symmetry by similarity renormalization group
• Resonant states and pseudospin symmetry in the Dirac Morse potential
• An Investigation of the Bound State Solutions of the Klein-Gordon Equation for the Generalized Woods-Saxon Potential in Spin Symmetry and Pseudo-spin Symmetry Limits
• Conservation and breaking of pseudospin symmetry
• Probing spin and pseudospin symmetries in deformed nuclei by the Green's function method
• Uniform descriptions of pseudospin symmetries in bound and resonant states
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• Recent progresses on the pseudospin symmetry in single particle resonant states