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1. The paper claims in the abstract that the results are of "reference value for
relevant experimental research," but in that case greater attention needs to be
paid to the anticipated accuracy of the results, and the uncertainties. For example,
it can be seen in Table I that many more significant figures are quoted than have
actually converged as a function of basis set size. The convergence uncertainty
should be included in the tables.
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2. It is not clear how the QED corrections were calculated, or what the
uncertainty is in this term. A simple one-electron approximation is used (see
discussion at the end of Sect. II), but the authors do not give any details
beyond a reference to Bethe and Salpeter's book. What was the actual formula
used? It is likely that not more than one significant figure is significant in
comparison with experimental data due to (i) screening corrections, (ii)
higher-order corrections, and (iii) electron-electron QED corrections (e.g. the
Araki-Sucher Q-term) that are not included. In this range of nuclear charge,
(Z alpha) is no longer a small parameter.
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