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arXiv · 2212.08138

Muon capture on the deuteron in chiral effective field theory

Jose Bonilla·Bijaya Acharya·Lucas Platter
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Abstract

We consider the capture of a muon on a deuteron. An uncertainty analysis of the dominant channels is important for a careful analysis of forthcoming experimental data. We quantify the theoretical uncertainties of chiral effective-field-theory predictions of the muon-deuteron capture rate from the relevant neutron-neutron partial wave channels in the final state. We study the dependence on the cutoff used to regularize the interactions, low-energy constants calibrated using different fitting data and strategies, and truncation of the effective-field-theory expansion of the currents. Combining these approaches gives as an estimate of $\Gamma^{1/2}_{\mu d} = 399.1 \pm 7.6 \pm 4.4$ s$^{-1}$ for capture from the atomic doublet state, and $\Gamma^{3/2}_{\mu d} = 12.31 \pm 0.47 \pm 0.04$ s$^{-1}$ for capture from the quartet state.

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Jose Bonilla, Bijaya Acharya, Lucas Platter. 2022-12-15. Muon capture on the deuteron in chiral effective field theory. https://doi.org/10.1103/physrevc.107.065502

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