Precise determination of proton magnetic radius from electron scattering data

Abstract

We extract the proton magnetic radius from the high-precision electron-proton elastic scattering cross section data. Our theoretical framework combines dispersion analysis and chiral effective field theory and implements the dynamics governing the shape of the low-$Q^2$ form factors. It allows us to use data up to $Q^2\sim$ 0.5 GeV${}^2$ for constraining the radii and overcomes the difficulties of empirical fits and $Q^2\to 0$ extrapolation. We obtain a magnetic radius $r_M^p$ = 0.850 $\pm$0.001 (fit 68%) $\pm$0.010 (theory full range) fm, significantly different from earlier results obtained from the same data, and close to the extracted electric radius $r_E^p$ = 0.842 $\pm$0.002 (fit) $\pm$0.010 (theory) fm.

arXiv comment5 pages, 2 figures

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• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
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• Pauli radius of the proton
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• A theory vade mecum for PSI experiments
• Elastic Positron-Proton Scattering at Low Q${}^2$
• Model Independent Extraction of the Proton Charge Radius from PRad data
• Note on the electromagnetic radius of proton
• Boosted dark matter versus dark matter-induced neutrinos from single and stacked blazars
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