Hyperfine splitting in muonium: Accuracy of the theoretical prediction

Michael I. Eides

doi:10.1016/j.physletb.2019.06.011

Hyperfine splitting in muonium: Accuracy of the theoretical prediction

Michael I. Eides

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28 Scopus citations

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 Δν_HFS ^th(Mu)=4463302872(515)Hz,δ=1.2×10⁻⁷.

Original language	English
Pages (from-to)	113-116
Number of pages	4
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	795
DOIs	https://doi.org/10.1016/j.physletb.2019.06.011
State	Published - Aug 10 2019

Bibliographical note

Publisher Copyright:
© 2019 The Author(s)

Funding

I am deeply grateful to Barry Taylor for numerous very helpful and illuminating discussions. The original version of this paper contained an about 8 Hz inaccuracy in the estimate of the uncertainty in the first parentheses in Eq. (8). It arose due to an improper account for the reduced mass factor in the Fermi frequency in Eq. (6). I am thankful to Peter Mohr for discovering this mistake. Of course, I am solely responsible for the contents of this paper. This work is supported by the NSF grant PHY-1724638. Of course, I am solely responsible for the contents of this paper. This work is supported by the NSF grant PHY-1724638 .

Funders	Funder number
National Sleep Foundation
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China	1724638

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "Hyperfine splitting in muonium: Accuracy of the theoretical prediction",

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 ΔνHFS th(Mu)=4463302872(515)Hz,δ=1.2×10−7.",

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AB - 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 ΔνHFS th(Mu)=4463302872(515)Hz,δ=1.2×10−7.

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Hyperfine splitting in muonium: Accuracy of the theoretical prediction

Abstract

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