Hyperfine Splitting in Muonium: Accuracy of the Theoretical Prediction

Authors

Michael I. Eides, University of KentuckyFollow

Abstract

In the last twenty years, the theory of hyperfine splitting in muonium developed without any experimental input. Finally, this situation is changing and a new experiment on measuring hyperfine splitting in muonium is now in progress at J-PARC. The goal of the MuSEUM experiment is to improve by an order of magnitude experimental accuracy of the hyperfine splitting and muon-electron mass ratio. Uncertainty of the theoretical prediction for hyperfine splitting will be crucial for comparison between the forthcoming experimental data and the theory in search of a possible new physics. In the current literature estimates of the error bars of the theoretical prediction differ roughly by a factor of two. We explain the origin of this discrepancy and obtain the theoretical prediction for the muonium hyperfine splitting Δv^th_HFS (Mu) = 4 463 302 872 (515) Hz, δ = 1.2 x 10^-7.

Document Type

Article

Publication Date

8-10-2019

Notes/Citation Information

Published in Physics Letters B, v. 795, p. 113-116.

© 2019 The Author(s). Published by Elsevier B.V.

This is an open access article under the CC BY license (https://creativecommons.org/licenses/by/4.0/).

Digital Object Identifier (DOI)

https://doi.org/10.1016/j.physletb.2019.06.011

Funding Information

Funded by SCOAP³.

This work is supported by the NSF grant PHY-1724638.

Repository Citation

Eides, Michael I., "Hyperfine Splitting in Muonium: Accuracy of the Theoretical Prediction" (2019). Physics and Astronomy Faculty Publications. 657.
https://uknowledge.uky.edu/physastron_facpub/657