Pseudospin symmetry in the resonant states of nuclei

Pseudospin symmetry for the resonant states in ²⁰⁸Pb is investigated by solving the Dirac equation with Woods-Saxon vector and scalar potentials in combination with an analytic continuation in the coupling-constant method, where the influences of the coupling-constant interval and the Padé approximant order are analyzed, and the stable and convergent energies and widths are obtained. Pseudospin breaking is shown in correlation with the nuclear mean field shaped by the central depth Σ₀, a radius (range) R, and a diffusivity a, which play an important role in the splittings of energy and width. The energy-level crossings appear in several pseudospin partners of resonant states, where the decay time is found to be different for the pseudospin doublets even when their energies are fully degenerate.