Third Zemach Moment of the Proton

Abstract

Modern electron scattering experiments have determined the proton electric form factor, G_{Ep}(Q^2), to high precision. We utilize this data, represented by the different form factor parametrizations, to compute the third Zemach moment of the proton charge distribution. We find that existing data rule out a value of the third Zemach moment large enough to explain the current puzzle with the proton charge radius determined from the Lamb shift in muonic hydrogen. This is in contrast with the recent claim of De Rujula [arXiv:1008.3861].

3 pages, three figures

References in corpus (5)

• Nucleon Electromagnetic Form Factors
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Electromagnetic form factors of the nucleon: new fit and analysis of uncertainties
• QED is not endangered by the proton's size
• Muonic Hydrogen and the Third Zemach Moment

Cited by in corpus (22)

• Theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen
• The RMS Charge Radius of the Proton and Zemach Moments
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Model independent extraction of the proton magnetic radius from electron scattering
• Model independent analysis of proton structure for hydrogenic bound states
• Lamb Shift in Muonic Hydrogen. I. Verification and Update of Theoretical Predictions
• Role of diquark correlations and the pion cloud in nucleon elastic form factors
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• Proton Polarizability Contribution: Muonic Hydrogen Lamb Shift and Elastic Scattering
• Non-perturbative evaluation of some QED contributions to the muonic hydrogen $\mathbf{n}=2$ Lamb shift and hyperfine structure
• Natural Resolution of the Proton Size Puzzle
• Proton root-mean-square radii and electron scattering
• XUV frequency comb metrology on the ground state of helium
• 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
• Non-Perturbative Relativistic Calculation of the Muonic Hydrogen Spectrum
• Why three-body physics do not solve the proton radius puzzle
• Nonidentical protons
• Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution
• Nuclear Quasi-Elastic Electron Scattering Limits Nucleon Off-Mass Shell Properties
• Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius
• On the proton charge extensions