Forward two-photon exchange in elastic lepton-proton scattering and hyperfine-splitting correction
High Energy Physics - Phenomenology
2017-09-22 v5 Nuclear Experiment
Nuclear Theory
Atomic Physics
Abstract
We relate the forward two-photon exchange (TPE) amplitudes to integrals of the inclusive lepton-proton scattering cross sections. These relations yield an alternative way for the evaluation of the TPE correction to hyperfine-splitting (HFS) in the hydrogen-like atoms with an equivalent to the standard approach (Iddings, Drell and Sullivan) result implying the Burkhardt-Cottingham sum rule. For evaluation of the individual effects (e.g., elastic contribution) our approach yields a distinct result. We compare both methods numerically on examples of the elastic contribution and the full TPE correction to HFS in electronic and muonic hydrogen.
Cite
@article{arxiv.1701.05514,
title = {Forward two-photon exchange in elastic lepton-proton scattering and hyperfine-splitting correction},
author = {Oleksandr Tomalak},
journal= {arXiv preprint arXiv:1701.05514},
year = {2017}
}
Comments
27 pages, 7 figures, correct description of corrections