Evaluation of the strength of electron-proton scattering data for determining the proton charge radius

Abstract

Precisely measured electron-proton elastic scattering cross sections [Phys. Rev. Lett. {\bf 105}, 242002 (2010)] are reanalyzed to evaluate their strength for determining the rms charge radius ($R_{\mathrm{E}}$) of the proton. More than half of the cross sections at lowest $Q^2$ are fit using two single-parameter form-factor models, with the first based on a dipole parametrization, and the second on a linear fit to a conformal-mapping variable. These low-$Q^2$ fits extrapolate the slope of the form factor to $Q^2$=0 and determine $R_{\mathrm{E}}$ values of approximately 0.84 and 0.89~fm, respectively. Fits spanning all $Q^2$, in which the single constants are replaced with cubic splines at larger $Q^2$, lead to similar results for $R_{\mathrm{E}}$. We conclude that the scattering data is consistent with $R_{\mathrm{E}}$ ranging from at least 0.84 to 0.89~fm, and therefore cannot resolve the discrepancy between determinations of $R_{\mathrm{E}}$ made using muonic and electronic hydrogen-atom spectroscopy.

References in corpus (15)

• 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 Proton Radius Puzzle
• Model independent extraction of the proton charge radius from electron scattering
• Extraction of the proton radius from electron-proton scattering data
• The size of the proton - closing in on the radius puzzle
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Measurement of the two-photon exchange contribution to the elastic $e^{\pm }p$ scattering cross sections at the VEPP-3 storage ring
• Towards a resolution of the proton form factor problem: new electron and positron scattering data
• Reduction of the proton radius discrepancy by 3 sigma
• Two-photon exchange at low Q^2
• On Delta resonance contribution to two-photon exchange amplitude
• Polynomial fits and the proton radius puzzle
• Two photon exchange amplitude with πN intermediate states: spin-1/2 and spin-3/2 channels
• Model-independent determination of the magnetic radius of the proton from spectroscopy of ordinary and muonic hydrogen

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