Accurate nucleon electromagnetic form factors from dispersively improved chiral effective field theory

Abstract

We present a theoretical parametrization of the nucleon electromagnetic form factors (FFs) based on a combination of chiral effective field theory and dispersion analysis. The isovector spectral functions on the two-pion cut are computed using elastic unitarity, chiral pion-nucleon amplitudes, and timelike pion FF data. Higher-mass isovector and isoscalar t-channel states are described by effective poles, whose strength is fixed by sum rules (charges, radii). Excellent agreement with the spacelike proton and neutron FF data is achieved up to Q^2 \sim 1 GeV^2. Our parametrization provides proper analyticity and theoretical uncertainty estimates and can be used for low-Q^2 FF studies and proton radius extraction.

arXiv comment5 pages, 3 figures, 2 tables

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Cited by in corpus (18)

• The proton charge radius
• Hadrons and Nuclei
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• Proton charge radius extraction from electron scattering data using dispersively improved chiral effective field theory
• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• Precise determination of proton magnetic radius from electron scattering data
• Revisiting the proton-radius problem using constrained Gaussian processes
• Robust extraction of proton charge radius from electron-proton scattering data
• How Analytic Choices Can Affect the Extraction of Electromagnetic Form Factors from Elastic Electron Scattering Cross Section Data
• PRad-II: A New Upgraded High Precision Measurement of the Proton Charge Radius
• The electromagnetic form factors of the transition from the spin-3/2 Sigma to the Lambda hyperon
• Dispersive Determination of Nucleon Gravitational Form Factors
• Advanced extraction of the deuteron charge radius from electron-deuteron scattering data
• Understanding the systematic differences in extractions of the proton electric form factors at low-$Q^2$
• Transverse charge and current densities in the nucleon from dispersively improved chiral effective field theory
• Properties of the Sachs electric form factor of the proton on the basis of recent $e-p$ scattering experiments and hydrogen spectroscopy
• The SU(3) Vector Currents in BChPT x 1/Nc
• Gravitational form factors of pions, kaons and nucleons from dispersion relations