含广义分子势Dirac方程的赝自旋对称解析解  

Pseudospin Symmetric Analytical Solutions of the Dirac Equation with the Generalized Molecular Potential

作　　者：陈文利[1] 刘丽景 CHEN Wen-li;LIU li-jing(School of Intelligent Science and Information Engineering,Xi'an Peihua University,Xi'an 710125,China)

机构地区：[1]西安培华学院智能科学与信息工程学院,陕西西安710125

出　　处：《安徽师范大学学报(自然科学版)》2025年第1期13-18,共6页Journal of Anhui Normal University(Natural Science)

基　　金：国家自然科学基金项目(11965008).

摘　　要：采用Pekeris类型的近似方法近似表达赝离心项,利用超对称方法和参数Nikiforov-Uvarov方法研究了含广义分子势模型的标量与矢量核子势的Dirac方程赝自旋对称解析解问题,获得了系统的能量方程和旋量波函数方程,通过数值解关系验证了单核子谱的赝自旋对称性。By applying a Pekeris-type approximation to the pseudo-centrifugal term,the pseudospin symmetric analytical solution of Dirac equation containing scalar and vector nucleon potential with generalized molecular potential model is studied by means of supersymmetry method and parametric Nikiforov-Uvarov method.The energy equation and spinor wave function equation of the system are obtained.The pseudospin symmetry of the single nucleon spectrum is verified by numerical solutions.

关 键 词：狄拉克方程 广义分子势模型 赝自旋对称 形状不变性 

分 类 号：O413.1[理学—理论物理]