Energy levels for S, P, and D states in He through precision variational calculations.
Energy levels for S, P, and D states in He through precision variational calculations.
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DOI：
10.1103/physreva.34.1727
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发表时间：
1986-09
期刊：
影响因子：
--
通讯作者：
Kono;Hattori
中科院分区：
文献类型：
--
作者：
Kono;Hattori
非相对论变分计算以及对 ..cap alpha../sup 2/ 阶的相对论校正已经进行，以获得 He 中 n /sup 1,3/S、n /sup 1,3/P 和 n/sup 1,3/D 系列的能级，直至 n = 8。计算出的项值通常收敛到 --10/sup -4/ cm/sup -1/ 的不确定度内， 该值与最近高精度波长测量的精度相匹配。结果与理论兰姆位移相结合，并与目前可获得的高精度实验数据进行系统比较。理论和实验之间的一致性很好，尽管对于一些低位（n = 3--6）S和P态存在小差异，可能是由估计的兰姆位移引起的。高位激发态的计算项值比现有的实验数据具有更好的精度。将理论项值与相应的实验激发能相加表明，在由 2/sup 1/P 值 171 135.0000 cm/sup -1/ 固定的能量标度上，基态电离能值为 198 310.7725(5) cm/sup -1/。
Nonrelativistic variational calculations with the relativistic correction to order ..cap alpha../sup 2/ have been carried out to obtain the energy levels for the n /sup 1,3/S, n /sup 1,3/P, and n/sup 1,3/D series in He up to n = 8. The calculated term values have converged generally to within an uncertainty of --10/sup -4/ cm/sup -1/, a value matching the accuracy of recent high-precision wavelength measurements. The results are combined with theoretical Lamb shifts and systematically compared with currently available high-precision experimental data. The consistency between theory and experiment is good, although for some low-lying (n = 3--6) S and P states there exist small discrepancies, presumably caused by the estimated Lamb shifts. The calculated term values for high-lying excited states have better accuracies than existing experimental data. Addition of the theoretical term values to the corresponding experimental excitation energies suggests a value of 198 310.7725(5) cm/sup -1/ for the ground-state ionization energy on the energy scale fixed by the 2/sup 1/P value of 171 135.0000 cm/sup -1/.