氦原子自旋-其它轨道相互作用精细结构参数的理论计算

以多电子原子精细结构哈密顿的球张量形式和氦原子非相对论性能级结构理论为基础,借助不可约张量理论,建立了计算氦原子自旋-其它轨道相互作用精细结构参数的一种解析理论形式.完成了所有的角向积分和自旋求和计算,自旋-其它轨道相互作用精细结构参数最终用若干个径向积分来表示.以氦原子(1s2p)3P态为例,借用类氢形式的径向函数对这些径向积分进行了近似计算.计算结果表明:在氦原子的精细结构中,自旋-其它轨道相互作用与纯自旋-轨道相互作用的作用效果相反;在总自旋-轨道相互作用精细结构参数中,自旋-其它轨道相互作用起决定性作用,它决定着精细结构分裂的顺序.

Theoretical calculation of the fine structure parameter for spin-other-orbit interaction in helium

Based on the tensor expression of the fine structure Hamiltonian and the non-relativistic energy structure theory for helium,and by virtue of irreducible tensor theory,an analytical method for calculating the fine structure parameter for spin-other-orbit interaction in helium-like atoms is established.All the angular integrations and spin summations involved in the problem have been carried out explicitly,the parameter is expressed finally as a sum of some radial integrations.Approximate evaluation for these radial integrations in the(1s2p)()~3P state of helium is outlined,in which the hydrogen-like radial functions are employed.It is found that in the fine structure of helium,the spin-other-orbit interaction and the pure spin-orbit interaction act in the opposite directions,and it is the former that plays the most important role,which determines the splitting order of the fine structure.