Nonuniversality of the $g/e$ ratio in the relativistic Kepler problem

Effect of $g/e$-relation non-universality on the energy spectrum of a relativistic hydrogen-like system is investigated. The first order correction to the energy eigenvalues for 1/2 spin case (the Dirac equation) is calculated. It is showh that in this case the two-fold degeneracy which takes place in the ordinary relativistic Kepler problem removes itself, which can be interpreted as a peculiar Lamb shift imitation. Direct evaluation of the upper limit for possible magnetic proton and muon charges is made with the aid of the comparison between the results obtained and known experimental and theoretical data concerning Lamb shift numerical value in ordinary atoms and mumesonic atoms.