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通过求解具有谐振子势的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和自旋双重态的能级劈裂和波函数劈裂随着谐振子的振动频率参数ω和描述谐振子势阱底偏离中心参数r0的变化关系．研究发现,这些参数对于赝自旋和自旋双重态的能级劈裂和波函数劈裂都有着显著的影响．此外,也研究了能级劈裂和波函数劈裂随着量子数的变化关系．由于参数ω与核子数有关,而参数r0与形变核有关,所以以这些参数为变量对于赝自旋劈裂和自旋劈裂的研究是有意义的,研究的结果至少可以定性地应用到大部分原子核中．
By solving the Dirac equation of radial scalar potential and vector potential with harmonic oscillator potential, the energy splitting and splitting of the splitting of the spurious spin and spins in the nucleus are analyzed respectively. With the oscillatory frequency parameter ω And describes the variation of the center of the resonator bottom deviation r0. It is found that these parameters have a significant effect on the energy splitting and the splitting of the wave function for the pseudo-spin and spin-dipole states. In addition, the splitting of the energy level and the splitting of the wave function with the variation of the quantum number have also been studied. Since the parameter ω is related to the number of nuclei, and the parameter r0 is related to the deformable nucleus, it is meaningful to study the pseudo-spin splitting and spin splitting with these parameters as variables. The results of the research can be at least qualitatively applied to large Part of the nucleus.