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Title: Theory of Lamb Shift in Muonic Hydrogen

There has been for a while a large discrepancy between the values of the proton charge radius measured by the Lamb shift in muonic hydrogen and by other methods. It has already been clear that theory of muonic hydrogen is reliable at the level of this discrepancy and an error there cannot be a reason for the contradiction. Still the status of theory at the level of the uncertainty of the muonic-hydrogen experiment (which is two orders of magnitude below the discrepancy level) requires an additional clarification. Here, we revisit theory of the 2p − 2s Lamb shift in muonic hydrogen. We summarize all the theoretical contributions in order α{sup 5}m, including pure quantum electrodynamics (QED) ones as well as those which involve the proton-structure effects. Certain enhanced higher-order effects are also discussed. We basically confirm former QED calculations of other authors, present a review of recent calculations of the proton-structure effects, and treat self-consistently higher-order proton-finite-size corrections. We also overview theory of the 2p states. Eventually, we derive a value of the root-mean-square proton charge radius. It is found to be 0.840 29(55) fm, which is slightly different from that previously published in the literature (0.840 87(39) fm [Antognini et al., Science 339,more » 417 (2013)])« less
Authors:
 [1] ; ;  [2] ;  [3]
  1. Max-Planck-Institut für Quantenoptik, Garching 85748, Germany and Pulkovo Observatory, St. Petersburg 196140 (Russian Federation)
  2. D. I. Mendeleev Institute for Metrology, St. Petersburg 190005 (Russian Federation)
  3. Pulkovo Observatory, St. Petersburg 196140 (Russian Federation)
Publication Date:
OSTI Identifier:
22493959
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Physical and Chemical Reference Data; Journal Volume: 44; Journal Issue: 3; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; CORRECTIONS; ENERGY LEVELS; ERRORS; HYDROGEN; LAMB SHIFT; MUONIC ATOMS; PARTICLE RADII; PROTONS; QUANTUM ELECTRODYNAMICS