Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-12-17
J.Exp.Theor.Phys. 101 (2005) 1021-1035
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 7 figures
Scientific paper
10.1134/1.2163919
We calculate the corrections of orders alpha^3, alpha^4 and alpha^5 to the Lamb shift of the 1S and 2S energy levels of muonic hydrogen (mu p) and muonic deuterium (mu d). The nuclear structure effects are taken into account in terms of the proton r_p and deuteron r_d charge radii for the one-photon interaction and by means of the proton and deuteron electromagnetic form factors in the case of one-loop amplitudes. The obtained numerical value of the isotope shift (mu d) - (mu p) for the splitting (1S-2S) 101003.3495 meV can be considered as a reliable estimation for corresponding experiment with the accuracy 10^{-6}. The fine structure interval E(1S)-8E(2S) in muonic hydrogen and muonic deuterium are calculated.
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