Coulomb corrections to electron scattering on the extended source and the proton charge radius

2014/02/13 by R. N. Lee, A. I. Milstein, Lee, R. N. +1
Engineering · Physics and Astronomy · #Atomic and Molecular Physics #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #hep-ph #nucl-th #physics.atom-ph

paper · pdf · doi:10.48550/arxiv.1402.3054

4 pages, 1 figure

arxiv created 2014/02/13 · arxiv updated 2014/02/14

Abstract

It is shown that the account for the proton charge form factor in the Coulomb corrections to the electron-proton scattering cross section noticeably diminishes the difference between the value of the proton charge radius r_E, extracted from the ep scattering data, and that following from the muonic hydrogen data. For the electron energy much higher than the electron mass but much smaller than r_E^-1≈ 230~MeV, the relative correction has the universal form δr_E/r_E=-πα/2, where α is the fine structure constant.

Related

• Evaluation of the proton charge radius from e-p scattering
• Proton charge radius from electron scattering
• Are the Muonic Hydrogen and Electron Scattering Experiments Measuring the Same Observable?
• Coulomb corrections in the extraction of the proton radius
• Remarks on the proton charge radius