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Single pion contribution to the hyperfine splitting in muonic hydrogen

Abstract : We consider the simple one-pion exchange (Yukawa potential) contribution to the 2S hyperfine splitting in muonic hydrogen which had, until recently, been disregarded. We evaluate the relevant vertex amplitudes, in particular $\pi^0\mu^+\mu^-$, combining low energy chiral expansions together with experimental data on $\pi^0$ and $\eta$ decays. The result for the 2S HFS is found to be small but not irrelevant.
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http://hal.in2p3.fr/in2p3-01234957
Contributor : Sophie Heurteau <>
Submitted on : Friday, November 27, 2015 - 2:39:42 PM
Last modification on : Wednesday, September 16, 2020 - 4:29:52 PM

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N. T. Huong, E. Kou, B. Moussallam. Single pion contribution to the hyperfine splitting in muonic hydrogen. Physical Review D, American Physical Society, 2016, 93, pp.114005. ⟨10.1103/PhysRevD.93.114005⟩. ⟨in2p3-01234957⟩

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