Research On The Single-proton Resonant States

By combining the complex scaling method with relativistic mean-field theory, single-proton resonances are probed for spherical nuclei in this paper. To start with, the meaning of resonant states is illustrated, and the significance of exploring resonant states and several methods on exploring resonant states which are commonly used are introduced too. Then, the main idea of the relativistic mean-field theory (RMF) and complex scaling method (CSM) as well as the framework of complex scaling method combined with relativistic mean-field theory (RMF-CSM) are shown in detail. Finally, the single-proton resonant states for Sn isotopes and N=82 isotones are probed by RMF-CSM. The influence of the Coulomb exchange term on single-proton resonance for spherical nuclei is also investigated. This paper is mainly summarized as follows:Firstly, we have explained what the resonant state is and pointed out the importance of resonant state in nuclear physics. Several methods on exploring resonant states are reviewed, such as R-matrix theory, K-matrix theory, S’-matrix method, and Jost function approach, and some bound-state-like methods including the real stabilization method (RSM), the analytic continuation in the coupling constant (ACCC) method and the complex scaling method (CSM).Secondly, the theory basis of this work is introduced explicitly, which includes the relativistic mean-field theory, the complex scaling method and complex scaling method combined with relativistic mean-field theory.Lastly, the single-proton resonant states for Sn isotopes and N=82 isotones are probed systemically by RMF-CSM. Furthermore, the influence of the Coulomb exchange term on single-proton resonance for spherical nuclei is discussed as well. Research shows that the energies and widths of single-proton resonances will decrease by taking the Coulomb exchange term into account, and the decrement of energy is almost within the range of 0.4-0.6 MeV for all the nuclei.