LAUSR

In the framework of the relativistic mean field theory combined with the complex momentum representation method, we study in detail the pseudospin symmetry in the single-neutron resonant states and its dependence on \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 gives the main contribution 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. The present researches are helpful to understand the mechanism and properties of pseudospin symmetry for resonant states.