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arXiv · 1309.4425

The muon capture rate on hydrogen and the values of $g_A$ and $g_{πNN}$

S. Pastore·F. Myhrer·K. Kubodera
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Abstract

Motivated by the recent developments in the determination of the experimental values of the nucleon axial-vector coupling constant $g_A$ and the pion-nucleon coupling constant $g_{πNN}$, we carry out a heavy-baryon chiral perturbation calculation of the hyperfine-singlet $μp$ capture rate $Γ_0$ to next-to-next-to-leading order (N$^2$LO), with the use of the latest values of $g_A$ and $g_{πNN}$. The calculated N$^2$LO value is $Γ_0^{\rm theor}(μ^- p \to ν_μn) =718 \pm 7 \,s^{-1}$, where the estimated N$^3$LO contribution dominates the error. This value is in excellent agreement with the experimental value reported by the MuCap Collaboration.

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S. Pastore, F. Myhrer, K. Kubodera. 2013-11-07. The muon capture rate on hydrogen and the values of $g_A$ and $g_{πNN}$. https://doi.org/10.1103/physrevc.88.058501

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