Abstract:

A test-potential method and a mean radius-screened charge loop iteration method are utilized to find the screened charges in the relativistic and the non-relativistic screened hydrogenic models. The screened charges obtained by the above two methods show that the mean radius-screened charge loop iteration method exhibits advantages over the test-potential method both in solving efficiency and solution precision. The comparisons of electron ionization energies, ionic total energies and electron transition energies calculated respectively by More, Faussurier and the relativistic screened hydrogenic models, have been performed and the precisions of these physical quantities verify the preponderance of the relativistic screened model based on the analytical potentials.

Key words: Screened hydrogenic model, Analytical potential, Atomic data

摘要：

利用试验势法和平均半径-屏蔽电荷迭代法研究基于解析势的相对论和非相对论屏蔽类氢模型。通过对屏蔽电荷的计算和比较，证实平均半径-屏蔽电荷迭代法无论在效率上还是计算精度上优于试验势法。与More和Faussurier屏蔽类氢模型比较，在电子电离能、离子总能量和电子跃迁能量的计算结果精度方面，基于解析势的相对论性屏蔽类氢模型占有优势。

关键词: 屏蔽类氢模型, 解析势, 原子数据