Radiative corrections to elastic proton-electron scattering measured in coincidence

Abstract

The differential cross section for elastic scattering of protons on electrons at rest is calculated taking into account the QED radiative corrections to the leptonic part of interaction. These model-independent radiative corrections arise due to emission of the virtual and real soft and hard photons as well as to vacuum polarization. We analyze an experimental setup when both the final particles are recorded in coincidence and their energies are determined within some uncertainties. The kinematics, the cross section, and the radiative corrections are calculated and numerical results are presented.

27 pages, 10 figures. The title of the article has been changed. Improved the quality of figures. An article without an appendix is approved for publication in the Phys.Rev.C

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• The proton radius (puzzle?) and its relatives
• Second-Order Leptonic Radiative Corrections for Lepton-Proton Scattering
• Model independent radiative corrections to elastic deuteron-electron scattering