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通过求解具有Woods-Saxon径向标量势与矢量势的Dirac方程,分别分析了原子核中赝自旋双重态能级劈裂和波函数下分量劈裂随着Woods-Saxon势参数的变化关系,其中Wood-Saxon势中的参数α以及R对于赝自旋能级劈裂和波函数劈裂的影响最大,而势阱深度V0只产生微小的影响．随着平均场的变化,赝自旋双重态会出现能级反转现象．具有较大n~或l~的赝自旋双重态能级劈裂对于参数的变化更敏感．赝自旋波函数下分量劈裂随着参数α和R的增大向核表面扩散,并且在核表面附近达到最大．赝自旋波函数劈裂随着参数α的增大而增大,但是随着参数R或V0的增大它却在减小的．由于在特定的同位素链中,参数R和V0都与核子数有关系,而参数α又是描述核的表面性质的,所以以这些参数为变量对于赝自旋劈裂的研究是有意义的,研究的结果至少在定性上可以应用到大部分原子核中．
By solving the Dirac equation with Woods-Saxon radial scalar potential and vector potential, the relationship between the splitting of the quasi- spin doublet energy level and the Woods-Saxon potential parameter in the nucleus is analyzed respectively The parameters α and R in Wood-Saxon potential have the greatest effect on the pseudospin splintering and the splitting of the wave function, while the potential well depth V0 has only a slight effect. With the change of average field, the phenomenon of level inversion appears in the pseudo-spin dual state. The splitting of the quasi-spin doublet level with larger n ~ or l ~ is more sensitive to the change of parameters. Under the pseudo-spin wave function, the component splitting propagates to the nucleus surface with the increase of the parameters α and R, and reaches the maximum near the nuclear surface. The pseudo-spin-wave splitting increases with the increase of parameter α, but decreases with increasing parameter R or V0. Since the parameters R and V0 are related to the number of nuclei in a given isotope chain, and the parameter α describes the surface properties of the nucleus, it is meaningful to study the pseudo-spin splitting with these parameters as variables. The results of the study can be applied qualitatively to most nuclei.