Fresh extraction of the proton charge radius from electron scattering

Abstract

We present a novel method for extracting the proton radius from elastic electron-proton ($ep$) scattering data. The approach is based on interpolation via continued fractions augmented by statistical sampling and avoids any assumptions on the form of function used for the representation of data and subsequent extrapolation onto $Q^2\simeq 0$. Applying the method to extant modern $ep$ data sets, we find that all results are mutually consistent and, combining them, arrive at $r_p=0.847(8)$fm. This result compares favourably with values obtained from contemporary measurements of the Lamb shift in muonic hydrogen, transitions in electronic hydrogen, and muonic deuterium spectroscopy.

7 pages, 4 figures. Version accepted for publication in Phys. Rev. Lett

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• Going to the light front with contour deformations
• Hadron and light nucleus radii from electron scattering
• Third density and acoustic virial coefficients of helium isotopologues from ab initio calculations
• Towards an independent determination of muon g-2 from muonium spectroscopy
• Study for a model-independent pole determination of overlapping resonances
• Understanding the systematic differences in extractions of the proton electric form factors at low-$Q^2$
• Pauli radius of the proton
• Gravitational form factors of the proton from near-threshold vector meson photoproduction
• Gluon gravitational form factors of protons from charmonium photoproduction
• Elastic Positron-Proton Scattering at Low Q${}^2$
• Note on the electromagnetic radius of proton
• Lowest-order QED radiative corrections in unpolarized elastic electron-deuteron scattering beyond the ultra-relativistic limit for the proposed deuteron charge radius measurement at Jefferson Laboratory
• The next frontiers for magnetic monopole searches
• Reconstruction of Gravitational Form Factors using Generative Machine Learning
• Clustering in hadrons and light nuclei from Lorentz boosted form factors
• Semileptonic transitions: $B_{(s)}\to \pi (K)$; $D_s\to K$; $D\to \pi ,K$; and $K\to \pi$