A self-consistent value of the electric radius of the proton from the Lamb shift in muonic hydrogen

Abstract

Recently a high-precision measurement of the Lamb shift in muonic hydrogen has been performed. An accurate value of the proton charge radius can be extracted from this datum with a high accuracy. To do that a sufficient accuracy should be achieved also on the theoretical side, including an appropriate treatment of higher-order proton-structure effects. Here we consider a higher-order contribution of the finite size of the proton to the Lamb shift in muonic hydrogen. Only model-dependent results for this correction have been known up to date. Meantime, the involved models are not consistent either with the existing experimental data on the electron-proton scattering or with the value for the electric charge radius of the proton extracted from the Lamb shift in muonic hydrogen. We consider the higher-order contribution of the proton finite size in a model-independent way and eventually derive a self-consistent value of the electric radius of the proton. The re-evaluated value of the proton charge radius is found to be R_E=0.84022(56) fm.

References in corpus (7)

• High-precision determination of the electric and magnetic form factors of the proton
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• The size of the proton - closing in on the radius puzzle
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
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Cited by in corpus (6)

• Comprehensive theory of the Lamb shift in light muonic atoms
• Two-photon exchange correction to the hyperfine splitting in muonic hydrogen
• The recoil correction to the proton-finite-size contribution to the Lamb shift in muonic hydrogen
• Model-independent determination of the magnetic radius of the proton from spectroscopy of ordinary and muonic hydrogen
• On the accuracy of the optical determination of the proton charge radius
• Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution