RUI: High Precision Variational Calculations on the Li I Isoelectronic Series (Physics)

RUI：Li I 等电子级数的高精度变分计算（物理）

• 批准号: 9004899
• 负责人: Frederick King
• 金额: $ 7.69万
• 依托单位: University of Wisconsin-Eau Claire
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-08-01 至 1994-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9004899&HistoricalAwards=false
• 关键词: RUI; Precision; Variational; Calculations; Li

The purpose is to carry out high precision calculations on the Li isoelectronic series for Z 10. A number of quantities will be calculated including the energy levels, mass shift, transition isotope shift, hyperfine coupling constant, electron density at the nucleus and relativistic contributions. In particular, a high precision lower bound for the nonrelativistic ground state energy of the Li atom will be computed. This should resolve an issue in the literature concerning the precise location of the ground state energy of Li to a 1 microhartree level of accuracy (.00003 eV). The lower bound will also provide valuable information on the rate of convergence of the variational approach used. Finally, an indirect determination of the Lamb shifts for particular states of the Li I series will be carried out. Lamb shifts for selected spectral transitions will also be evaluated.

其目的是对Z10的Li等电子系列进行高精度的计算。计算了包括能级、质量位移、过渡同位素位移、超精细耦合常数、原子核电子密度和相对论贡献在内的一些量。特别是，我们将计算Li原子非相对论基态能量的高精度下限。这将解决文献中关于Li的基态能量的精确位置的问题，精度为1微哈特水平(0.00003 eV)。下限还将提供关于所用变分方法收敛速度的有价值的信息。最后，将进行Li I系列特定状态的Lamb位移的间接测定。还将评估所选光谱跃迁的Lamb位移。