Study Of Single-particle Resonant States

Firstly, we systemically introduce the relativistic mean field theory (RMF), especially on spherical nuclei. Then in order to exploring the single-particle resonant states, we discuss the analytic continuation in the coupling constant (ACCC) method, the stability and convergence of energies and width calculated by ACCC method are studied.On these basic, we explore the single-particle resonant states by the analytic continuation in the coupling constant (ACCC) method within the framework of the relativistic mean field (RMF) theory. Using analytic continuation in the coupling constant (ACCC) method within the framework of the self-consistent relativistic mean filed (RMF) theory, we study the energies and the widths of the resonant states in ¹⁶O nuclei, and the influences of the coupling constant interval and the Pade approximant order are analyzed.At last, the pseudospin symmetry in the resonant states is researched systemically by the ACCC-RMF theory, Pb is chosen as an example. The calculated energies and widths of single-particle resonant states show a good symmetry for bound pseudospin doublets, as well as unbound resonant states in Pb.