Abstract
The differential cross section for elastic scattering of deuterons 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 consider an experimental setup where both 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.
Highlights
Polarized and unpolarized scattering of electrons off protons and light nuclei has been widely studied since these experiments give information on the internal structure of these particles
The recent determination of the proton electromagnetic form factors, using the polarization method [3], shows that for transferred momenta Q2 = −q2 1 GeV2 the polarized and unpolarized experiments result in inconsistent values of the form factor ratio; see Ref. [4]
Recent experiments searched for evidence of two-photon exchange; see Refs. [10,11,12]
Summary
Polarized and unpolarized scattering of electrons off protons and light nuclei has been widely studied since these experiments give information on the internal structure of these particles (for recent reviews, see Refs. [1,2] and references therein). Polarized and unpolarized scattering of electrons off protons and light nuclei has been widely studied since these experiments give information on the internal structure of these particles A pedagogical description of the method to extract the charge radius and the Rydberg constant from laser spectroscopy in regular hydrogen and deuterium atoms is given in Ref. No experiment was performed yet on proton and deuteron scattering on atomic electrons. The experiment [37], proposed at CERN, will measure the running of the fine-structure constant in the spacelike region by scattering high-energy muons (with energy 150 GeV) on atomic electrons, μe → μe. Concerning the hard photon calculation, we followed Ref. [40] for the coordinate system and the angular integration
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