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

References in corpus (1)

• Pairing correlations and resonant states in the relativistic mean field theory

Cited by in corpus (12)

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• 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