Exploration of Pseudospin Symmetry in the Resonant States

Abstract

Taking 120Sn as an example, we discuss the pseudospin symmetryin the single proton resonant states by examining the energies,widths and the wavefunctions. The information of the single protonresonant states in spherical nuclei are extracted from an analyticcontinuation in the coupling constant method within the framework ofthe self-consistent relativistic mean field theory under therelativistic boundary condition. We find small energy splitting ina pair of pseudospin partners in the resonant states. The lowercomponents of the Dirac wavefunctions of a pseudospin doublet agreewell in the region where nuclear potential dominates. It is concludedthat the pseudospin symmetry is also well conserved for the resonantstates in realistic nuclei.