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arXiv · 1501.01036

Non-Perturbative Lepton Sea Fermions in the Nucleon and the Proton Radius Puzzle

Gerald A. Miller
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Abstract

A potential explanation [U.~D.~Jentschura, Phys.\ Rev.\ A {\bf 88}, 062514 (2013)] of the proton radius puzzle originating from the non-perturbative lepton-pair content of the proton is studied. Well-defined quantities that depend on this lepton-pair content are evaluated. Each is found to be of the order of $10({α\over π})^2$, so that we find such a lepton-pair content exists in the proton. However, we argue that this relatively large result and general features of loop diagrams rule out the possibility of lepton-pair content as an explanation of the proton radius puzzle. In addition, the contributions of a class of explanations of the proton radius puzzle (for which the dependence on the $μp$ relative distance is as a contact interaction) is determined.

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Gerald A. Miller. 2015-01-16. Non-Perturbative Lepton Sea Fermions in the Nucleon and the Proton Radius Puzzle. https://doi.org/10.1103/physrevc.91.055204

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