Influence of different fields of mesons on the pseudospin symmetry in single-neutron resonant states

In the framework of the relativistic mean field theory combined with the complex momentum representation method, we elucidate the pseudospin symmetry in the single-neutron resonant states and its dependence on the begin{document}$sigma$end{document}, begin{document}$omega$end{document}, and begin{document}$rho$end{document} meson fields. Compared with the effect of the begin{document}$rho$end{document} field, the begin{document}$sigma$end{document} and begin{document}$omega$end{document} fields provide the main contributions to the pseudospin energy and width splitting of the resonant pseudospin doublets. Especially, we compare quantitatively the pseudospin wave functions' splittings in resonant doublets, and investigate their dependencies on different fields of mesons, which is consistent with that of energy and width splittings. Current research is helpful to understand the mechanism and properties of pseudospin symmetry for resonant states.