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氦原子1snd(n=4—11)组态下1D—3D谱项分裂值的计算

贺黎明 曹 伟 陈学谦 朱云霞

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氦原子1snd(n=4—11)组态下1D—3D谱项分裂值的计算

贺黎明, 曹 伟, 陈学谦, 朱云霞

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

He Li-Ming, Cao Wei, Chen Xue-Qian, Zhu Yun-Xia
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  • 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 1snd(n=4—11) configurations have been calculated. Based on two different models, Rayleigh-Schrdinger 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-Schrdinger 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.
    • 基金项目: 国家自然科学基金(批准号:10074014)和华东理工大学校基金资助的课题.
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  • 文章访问数:  6670
  • PDF下载量:  648
  • 被引次数: 0
出版历程
  • 收稿日期:  2005-03-04
  • 修回日期:  2005-04-15
  • 刊出日期:  2005-11-20

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