Exploration of Pseudospin Symmetry in the Resonant States  

作　　者：张时声 孙保华 周善贵 

机构地区：[1]Department of Physics, School of Science, Beihang University, Beijing 100083 [2]School of Physics, Peking University, Beijing 100871 [3]Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080 [4]Center of Theoretical Nuclear Physics, NationM Laboratory of Heavy Ion Accelerator, Lanzhou 730000

出　　处：《Chinese Physics Letters》2007年第5期1199-1202,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10447102, 10475003, 10435010 and 10605004, and the Scientific Research Innovation Foundation of BUAA.

摘　　要：Taking ^120Sn as an example, we discuss the pseudospin symmetry in the single proton resonant states by examining the energies, widths and the wavefunctions. The information of the single proton resonant states in spherical nuclei are extracted from an analytic continuation in the coupling constant method within the framework of the self-consistent relativistic mean field theory under the relativistic boundary condition. We find small energy splitting in a pair of pseudospin partners in the resonant states. The lower components of the Dirac wavefunctions of a pseudospin doublet agree well in the region where nuclear potential dominates. It is concluded that the pseudospin symmetry is also well conserved for the resonant states in realistic nuclei.Taking ^120Sn as an example, we discuss the pseudospin symmetry in the single proton resonant states by examining the energies, widths and the wavefunctions. The information of the single proton resonant states in spherical nuclei are extracted from an analytic continuation in the coupling constant method within the framework of the self-consistent relativistic mean field theory under the relativistic boundary condition. We find small energy splitting in a pair of pseudospin partners in the resonant states. The lower components of the Dirac wavefunctions of a pseudospin doublet agree well in the region where nuclear potential dominates. It is concluded that the pseudospin symmetry is also well conserved for the resonant states in realistic nuclei.

关 键 词：HARTREE-BOGOLIUBOV THEORY MEAN-FIELD THEORY DIRAC-EQUATION RELATIVISTICSYMMETRY HARMONIC-OSCILLATOR COUPLING-CONSTANT DEFORMED-NUCLEI NILSSON MODEL CONTINUATION POTENTIALS 

分 类 号：O57[理学—粒子物理与原子核物理]