Optical Frequency Measurement of the 2S-12D Transitions in Hydrogen and Deuterium: Rydberg Constant and Lamb Shift Determinations

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We have performed a pure optical frequency measurement of the 2S-12D two-photon transitions in atomic hydrogen and deuterium. From a complete analysis taking into account this result and all other precise measurements (by ourselves and other authors), we deduce optimized values for the Rydberg constant, R∞ = 109 737.315 685 16\(84\) cm-1 (relative uncertainty of 7.7×10-12) and for the 1S and 2S Lamb shifts L1S = 8172.837\(22\) MHz and L2S-2P = 1057.8446\(29\) MHz [respectively, L1S = 8183.966\(22\) MHz, and L2S-2P = 1059.2337\(29\) MHz for deuterium]. These are now the most accurate values available.

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