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.

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

References in corpus (7)

• 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
• QED is not endangered by the proton's size
• Third Zemach Moment of the Proton
• Comment on "The third Zemach moment of the proton", by Cloet and Miller
• Long Range Structure of the Nucleon

Cited by in corpus (31)

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• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• The proton structure in and out of muonic hydrogen
• The proton radius (puzzle?) and its relatives
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• Hyperfine structure of S-states in muonic deuterium
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen
• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• Why three-body physics do not solve the proton radius puzzle
• The recoil correction to the proton-finite-size contribution to the Lamb shift in muonic hydrogen
• Proton rms-radii from low-q power expansions?
• Point-Particle Effective Field Theory III: Relativistic Fermions and the Dirac Equation
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen
• Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution
• Axial-vector exchange contribution to the Hyperfine Splitting
• Electromagnetic multipole moments of baryons
• 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
• Connecting spatial moments and momentum densities
• Laser excitation of the 1s-hyperfine transition in muonic hydrogen
• Hyperfine splitting in muonic hydrogen constrains new pseudoscalar interactions
• The muonic hydrogen Lamb shift and the proton radius
• Proton and neutron electromagnetic radii and magnetic moments from $N_f=2+1$ lattice QCD
• Proton and neutron electromagnetic radii and magnetic moments from lattice QCD
• Proton and neutron electromagnetic form factors from lattice QCD in the continuum limit