原子与分子物理学报
原子與分子物理學報
원자여분자물이학보
CHINESE JOURNAL OF ATOMIC AND MOLECULAR PHYSICS
2006年
6期
1138-1144
,共7页
黄时中%张法保%王大理%李伟艳%胡健
黃時中%張法保%王大理%李偉豔%鬍健
황시중%장법보%왕대리%리위염%호건
氦原子%自旋-其它轨道相互作用%精细结构参数
氦原子%自鏇-其它軌道相互作用%精細結構參數
양원자%자선-기타궤도상호작용%정세결구삼수
Helium%spin-other-orbit interaction%fine structure parameter
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.
以多電子原子精細結構哈密頓的毬張量形式和氦原子非相對論性能級結構理論為基礎,藉助不可約張量理論, 建立瞭計算氦原子自鏇-其它軌道相互作用精細結構參數的一種解析理論形式.完成瞭所有的角嚮積分和自鏇求和計算,自鏇-其它軌道相互作用精細結構參數最終用若榦箇徑嚮積分來錶示.以氦原子(1s2p)3P態為例,藉用類氫形式的徑嚮函數對這些徑嚮積分進行瞭近似計算.計算結果錶明:在氦原子的精細結構中,自鏇-其它軌道相互作用與純自鏇-軌道相互作用的作用效果相反;在總自鏇-軌道相互作用精細結構參數中,自鏇-其它軌道相互作用起決定性作用,它決定著精細結構分裂的順序.
이다전자원자정세결구합밀돈적구장량형식화양원자비상대론성능급결구이론위기출,차조불가약장량이론, 건립료계산양원자자선-기타궤도상호작용정세결구삼수적일충해석이론형식.완성료소유적각향적분화자선구화계산,자선-기타궤도상호작용정세결구삼수최종용약간개경향적분래표시.이양원자(1s2p)3P태위례,차용류경형식적경향함수대저사경향적분진행료근사계산.계산결과표명:재양원자적정세결구중,자선-기타궤도상호작용여순자선-궤도상호작용적작용효과상반;재총자선-궤도상호작용정세결구삼수중,자선-기타궤도상호작용기결정성작용,타결정착정세결구분렬적순서.
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.