Research On The Single-particle Resonant States By The Complex Scaling Method

The paper adopts the traditional relativistic mean field theory(RMF) system for120Sn、122Zr.the physical mechanism of single-particle reaonant states be further discussed.subsequent,we summsry the development process of the complex scaling method(CSM). In the present research development of RMF. we Research the parameter single-particle resonant states used the complex scaling method (CSM) under the theoretical basis of the relativistic mean field (RMF) theory. Taking122Zr as an example, we have demonstraed the calculated details, and obtained the energies, widths, and wave functions for all the possiable resonant states. The results are compared in good agreement with those from the analytic continuation in the coupling constant (ACCC) method and the scattering phase shift method. Furthermore, we have investigated the resonant states for all the Zr isotopes. The results are compared with that from the scattering phase-shift method with satisfactory agreements. Furthermore, the complex scaling method (CSM) is adopted to study single-proton resonant states.for120Sn the energies, widths, and wave functions for all the possiable resonant states are obtained. The results are compared in good agreement with those from the analytic continuation in the coupling constant (ACCC) method and the scattering phase shift method. Furthermore, we have investigated the wave function, in good agreement with the analytic continuation in the coupling constant (ACCC) methodIn the last part of this paper, analysis the pseudospin symmetry of the Resonance phenomenon by the RMF-CSM theory, for illustration,122Zr for neutron and120Sn for proton are chosen as an example. The calculated wavefunction of single-particle resonant states results show that a satisfactory consistency for continuous spectrum and uncontinuous spectrum for pseudospin doublets in pseudospin symmetry...