Merits and constraints of low-${\mathbf{K}}^2$ experimental data for the proton radius determination

Abstract

The question of the determination of the proton charge radius $R_p$ from electron scattering data led to an unprecedented experimental effort for measurements of the electric form factor of the proton at low and very low momentum transfer in electron and muon elastic scattering. On the basis of basic properties of densities and fitting bias considerations, a procedure is developed in order to evaluate the impact of forthcoming data on $R_p$. Particularly, it is shown that a 0.1\% precision on these future cross section data is necessary to establish indisputably the $R_p$-value as determined from lepton scattering. The ProRad (Proton Radius) experiment at the PRAE (Platform for Research and Applications with Electrons) facility in Orsay is further discussed, especially the experimental method to meet this stringent constraint.

arXiv comment10 pages, 7 figures

References in corpus (18)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• High-precision determination of the electric and magnetic form factors of the proton
• The electric and magnetic form factors of the proton
• Charge Density of the Neutron
• 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
• Nucleon Charge and Magnetization Densities from Sachs Form Factors
• Defining the Proton Radius: a Unified Treatment
• Are Electron Scattering Data Consistent with a Small Proton Radius?
• The Proton Radius from Electron Scattering Data
• First measurement of proton's charge form factor at very low $Q^2$ with initial state radiation
• Polynomial fits and the proton radius puzzle
• Revisiting the proton-radius problem using constrained Gaussian processes
• Robust extraction of proton charge radius from electron-proton scattering data
• On higher order radiative corrections to elastic electron-proton scattering
• Two-photon exchange correction in elastic lepton-proton scattering

Cited by in corpus (4)

• The proton radius (puzzle?) and its relatives
• Properties of the Sachs electric form factor of the proton on the basis of recent $e-p$ scattering experiments and hydrogen spectroscopy
• Note on the electromagnetic radius of proton
• Connecting spatial moments and momentum densities