含改进Tietz-Hua势Dirac方程的赝自旋对称解析解  

Pseudospin symmetric analytical solutions of Dirac equation with the modified Tietz-Hua potential

作　　者：陈文利[1] 冯晶晶[1] 樊亚云[1] CHEN Wenli;FENG Jingjing;FAN Yayun(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,西安710125

出　　处：《扬州大学学报（自然科学版）》2022年第1期8-12,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11965008);陕西省教育厅专项科学研究资助项目(19JK0635)。

摘　　要：基于施图姆-刘维尔理论和形状不变性原理,采用Pekeris类型的近似方法,唯象地研究了具有改进Tietz-Hua势场标量和矢量核子势的原子核中单核子的赝自旋对称.解析求解了系统的能量方程和旋量波函数,并通过数值求解能量方程,验证了单核子谱的赝自旋对称性.Based on the Sturm-Liouville theory and the idea of shape invariance,the pseudospin symmetry of a Dirac nucleon subjected to scalar and the vector modified Tietz-Hua potentials including the spin-orbit coupling term are studied by applying a Pekeris-type approximation to the pseudo-centrifugal term.The energy equation and spinor wave functions with arbitrary spin-orbit coupling quantum numberκare presented.The pseudospin symmetry of the single nucleon spectrum is verified by solving the energy equation numerically.

关 键 词：狄拉克方程 赝自旋对称 形状不变性 改进Tietz-Hua势场 

分 类 号：O413.1[理学—理论物理]