Order $(\frac{m_{e}}{m_{μ}}) α^{2} \ln α^{- 1}$ Corrections to the Muonium Hyperfine Structure

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11 January 1971

journal article
research article
Published by American Physical Society (APS) in Physical Review Letters

Vol. 26 (2) , 61-63
https://doi.org/10.1103/physrevlett.26.61

Abstract

We report a calculation of the

(\frac{m_{e}}{m_{μ}}) α^{2} \ln α^{- 1}

corrections to the hyperfine splitting (

ν_{m}

) of the muonium ground state. The result,

Δ ν_{m} = 24 {(\frac{m_{e}}{m_{μ}})}^{2} {[1 + (\frac{m_{e}}{m_{μ}})]}^{- 5} c α^{4} R_{\infty} \ln α^{- 1} = 0.0252

MHz (5.6 ppm), shifts the theoretical value for

ν_{m}

to within one standard deviation of the most recent experimental determination of the muonium hyperfine interval by the Chicago-Illinois group.

Keywords

This publication has 14 references indexed in Scilit:

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Physical Review Letters, 1970
Corrections to the Positronium Hyperfine Structure of Order $α^{2} \ln α^{- 1}$
Physical Review Letters, 1970
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Physical Review Letters, 1970
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Physical Review Letters, 1970
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