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

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.