Maximal Acceleration Corrections to the Lamb Shift of Hydrogen,   Deuterium and He$^{+}$
  The maximal acceleration corrections to the Lamb shift of one--electron atoms are calculated in a non--relativistic approximation. They are compatible with experimental results, are in particularly good agreement with the $2S-2P$ Lamb shift in hydrogen and reduce by $\sim 50%$ the experiment--theory discrepancy for the $2S-2P$ shift in $He^+$. 
G. Lambiase, G. Papini, G. Scarpetta