原子核的有限体积效应对高离化态离子能级和波函数的影响

The influences of the finite nuclear size effects on the energy levels and wavefunctions of hydrogen-like ions

在相对论理论框架下,分别在点电荷和两参数Fermi核模型近似下计算了高离化态类氢离子(Z=80—112)n=1—3壳层的波函数和能级.分析了核有限体积效应对它们的影响.在此基础上,给出了核有限体积效应对原子能级的修正公式.同时,还进一步讨论了相对论效应和核有限体积效应之间的相互影响,发现对高Z元素相对论效应与核有限体积效应之间有很强的耦合.

Based on the relativistic theory,the wavefunctions and low-lying levels of highly charged states of hydrogen-like ions for the shells n=1—3 were calculated using different nuclear models——point-like nuclear and Fermi nuclear models with two parameters,respectively. The influence of the finite nuclear size on wavefunctions and level energies were analysed. Furthermore,a fitting formula related to nuclear parameter a and c in Fermi nuclear model for finite nuclear effects on the atomic level energy is deduced. The mutual influence between the relativistic effect and the finite nuclear size effects were discussed. It is found that there is a strong coupling between relativistic effect and finite nuclear size effects for high-Z elements.