High-precision determination of the electric and magnetic radius of the proton

Abstract

Using dispersion theory with an improved description of the two-pion continuum based on the precise Roy-Steiner analysis of pion-nucleon scattering, we analyze recent data from electron-proton scattering. This allows for a high-precision determination of the electric and magnetic radius of the proton, $r_E=(0.838_{-0.004}^{+0.005}{}_{-0.003}^{+0.004})$fm and $r_M=(0.847\pm 0.004\pm 0.004)$fm, where the first error refers to the fitting procedure using bootstrap and the data while the second one refers to the systematic uncertainty related to the underlying spectral functions.

arXiv comment8 pages, 2 figures, more discussions and references added, version accepted for publication in Physics Letters B

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Cited by in corpus (26)

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• New insights into the nucleon's electromagnetic structure
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• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• Dispersion relation analysis of the radiative corrections to $g_A$ in the neutron $\beta$-decay
• The proton radius (puzzle?) and its relatives
• Hadron and light nucleus radii from electron scattering
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD
• Superallowed nuclear beta decays and precision tests of the Standard Model
• Electromagnetic form factors of the nucleon from $N_f=2+1$ lattice QCD
• Timelike nucleon electromagnetic form factors: All about interference of isospin amplitudes
• The Standard Model theory of neutron beta decay
• Precision calculation of the recoil--finite-size correction for the hyperfine splitting in muonic and electronic hydrogen
• Radiative and chiral corrections to elastic lepton-proton scattering in chiral perturbation theory
• Metrology of Rydberg states of the hydrogen atom
• Understanding the systematic differences in extractions of the proton electric form factors at low-$Q^2$
• The electromagnetic Sigma-to-Lambda transition form factors with coupled-channel effects in the space-like region
• Hybrid analysis of radiative corrections to neutron decay with current algebra and effective field theory
• Novel method to extract the femtometer structure of strange baryons using the vacuum polarization effect
• Note on the electromagnetic radius of proton
• Production of twisted particles in heavy-ion collisions
• Electromagnetic polarizabilities of the spin-$\frac{3}{2}$ baryons in heavy baryon chiral perturbation theory
• Proton and neutron electromagnetic radii and magnetic moments from $N_f=2+1$ lattice QCD
• Baryon Form Factors
• Proton and neutron electromagnetic radii and magnetic moments from lattice QCD