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 TMF, 1975, Volume 24, Number 3, Pages 325–332 (Mi tmf4017)

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

Yu. S. Biza, L. M. Tomil'chik

Abstract: 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.

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English version:
Theoretical and Mathematical Physics, 1975, 24:3, 862–867

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Citation: Yu. S. Biza, L. M. Tomil'chik, “Nonuniversality of the $g/e$ ratio in the relativistic Kepler problem”, TMF, 24:3 (1975), 325–332; Theoret. and Math. Phys., 24:3 (1975), 862–867

Citation in format AMSBIB
\Bibitem{BizTom75} \by Yu.~S.~Biza, L.~M.~Tomil'chik \paper Nonuniversality of the $g/e$ ratio in the relativistic Kepler problem \jour TMF \yr 1975 \vol 24 \issue 3 \pages 325--332 \mathnet{http://mi.mathnet.ru/tmf4017} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=489463} \transl \jour Theoret. and Math. Phys. \yr 1975 \vol 24 \issue 3 \pages 862--867 \crossref{https://doi.org/10.1007/BF01029872}