Screening Constant by Unit Nuclear Charge calculations of Energies and Fine Structure Splitting for Li-Like Ions

I. Sakho

《Chinese Journal of Physics》 預刊文章 Pp. g1-28

https://doi.org/10.6122/CJP.20130717

並列摘要

We present in this paper non-relativistic energies of the 1s^2ns^2S (n = 3-20) and 1s^2np ^2P (n = 2-20) excited states of the lithium-like ions using the Screening Constant by Unit Nuclear Charge method. Calculations are performed up to Z = 20. In addition, accurate results for the fine structure splitting of the 1s^2np ^2P (n = 3, 4, and 5) levels of Z = 3-20 including quantum-electrodynamics (QED) corrections are obtained, turning into account the solution of the Dirac relativistic equation of the hydrogen-like systems with the effective nuclear charge Z* = Z(1-β), β being the screening constant by unit nuclear charge. It is shown that QED corrections are very significant for large Z systems, and then they should be included in any calculation for obtaining more accurate results. The present data agree very well with the experimental values from NIST and with various calculations.