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arXiv · 1209.4667

Proton Polarizability Contribution: Muonic Hydrogen Lamb Shift and Elastic Scattering

Gerald A. Miller
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Abstract

The uncertainty in the contribution to the Lamb shift in muonic hydrogen, $ΔE^{subt}$ arising from proton polarizability effects in the two-photon exchange diagram at large virtual photon momenta is shown large enough to account for the proton radius puzzle. This is because $ΔE^{subt}$ is determined by an integrand that falls very slowly with very large virtual photon momenta. We evaluate the necessary integral using a set of chosen form factors and also a dimensional regularization procedure which makes explicit the need for a low energy constant. The consequences of our two-photon exchange interaction for low-energy elastic lepton-proton scattering are evaluated and could be observable in a planned low energy lepton-proton scattering experiment planned to run at PSI.

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Gerald A. Miller. 2012-10-16. Proton Polarizability Contribution: Muonic Hydrogen Lamb Shift and Elastic Scattering. https://doi.org/10.1016/j.physletb.2012.11.016

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