氦原子1snd（n=4-11）组态下^1D-^3D谱项分裂值的计算  

Calculation of helium 1D-3D term intervals for 1snd( n = 4-11) states

作　　者：贺黎明[1] 曹伟[1] 陈学谦[1] 朱云霞[1] 

机构地区：[1]华东理工大学物理系,上海200237

出　　处：《物理学报》2005年第11期5077-5081,共5页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10074014);华东理工大学校基金资助的课题.~~

摘　　要：利用多体微扰理论(MBPT)计算了氦原子1snd(n=4—11)组态的1D—3D谱项分裂值.基于两种不同的模型分别计算Rayleigh-Shr dinger微扰展开式中仅含束缚态的部分和包含连续态的部分.对于束缚态,较严格地通过自洽迭代求解Hartree方程构造零级近似波函数,并利用积分处理方法对无穷项求和中的余项给出了近似算法.而对于连续态波函数,则采用简化的氢原子势模型.按照Rayleigh-Shr dinger微扰展开方法,将Rydberg态的微扰论修正计算至三级.计算表明,二级和三级微扰对谱项分裂的贡献主要来自于束缚态求和部分.单态-三重态精细结构分裂的计算结果与两组实验结果基本符合.With many-body perturbation theory （MBPT）, ^1D-^3D term intervals of helium l snd（n = 4-11） configurations have been calculated. Based on two different models, Rayleigh-Schoedinger perturbation expansion terms only consisting of bound states and those of continua are calculated respectively. For bound states, the zeroth-order wave functions are strictly generated from self-iteration solutions of Hartree equation and residues of infinite perturbation series are dealt with by integral processing method. For continuum parts, a simplified hydrogen potential model is adopted. According to Rayleigh-Schoedinger expansion, the perturbation corrections to Rydberg states have been evaluated up to the third-order terms. From the calculation, the energy splittings are mainly attributed to bound parts. Singlet-triplet level splittings yielded here are found to agree quite well with two sets of experimental results.

关 键 词：氦原子 Rydberg态 多体微扰 组态波函数 能级分裂 计算表 氦原子 分裂 谱项 组态 多体微扰理论 RYDBERG态 近似算法 束缚态 

分 类 号：O562.3[理学—原子与分子物理]