The RMS Charge Radius of the Proton and Zemach Moments

Abstract

On the basis of recent precise measurements of the electric form factor of the proton, the Zemach moments, needed as input parameters for the determination of the proton rms radius from the measurement of the Lamb shift in muonic hydrogen, are calculated. It turns out that the new moments give an uncertainty as large as the presently stated error of the recent Lamb shift measurement of Pohl et al.. De Rujula's idea of a large Zemach moment in order to reconcile the five standard deviation discrepancy between the muonic Lamb shift determination and the result of electronic experiments is shown to be in clear contradiction with experiment. Alternative explanations are touched upon.

arXiv comment6 pages, 4 figures, final version includes discussion of systematic and numerical errors

References in corpus (18)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• Theory of Light Hydrogenlike Atoms
• High-precision determination of the electric and magnetic form factors of the proton
• Nucleon Electromagnetic Form Factors
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• On the rms-radius of the proton
• Electromagnetic Form Factors of the Nucleon and Compton Scattering
• Proton structure effects in muonic hydrogen
• The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen
• Lamb Shift in Muonic Hydrogen
• QED is not endangered by the proton's size
• Muonic Hydrogen and the Third Zemach Moment
• Third Zemach Moment of the Proton
• QED confronts the radius of the proton
• Proton Radius, Darwin-Foldy Term and Radiative Corrections
• Darwin-Foldy term and proton charge radius
• Long Range Structure of the Nucleon
• Comment on "The third Zemach moment of the proton", by Cloet and Miller

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• Lamb Shift in Light Muonic Atoms - Revisited
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• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
• The proton structure in and out of muonic hydrogen
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• Electromagnetic multipole moments of baryons
• Lower bound on the proton charge radius from electron scattering data
• Properties of the Sachs electric form factor of the proton on the basis of recent $e-p$ scattering experiments and hydrogen spectroscopy
• Electromagnetic nucleon form factors in the extended vector meson dominance model
• Zemach and Friar radii of the proton and neutron from lattice QCD
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• Laser excitation of the 1s-hyperfine transition in muonic hydrogen
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen
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