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The $μ^-d$ capture rate in effective field theory

S. Ando·T. -S. Park·K. Kubodera·F. Myhrer
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Abstract

Muon capture on the deuteron is studied in heavy baryon chiral perturbation theory (HBChPT). It is found that by far the dominant contribution to $μd$ capture comes from a region of the final three-body phase-space in which the energy of the two neutrons is sufficiently small for HBChPT to be applicable. The single unknown low-energy constant having been fixed from the tritium beta decay rate, our calculation contains no free parameter. Our estimate of the $μd$ capture rate is consistent with the existing data. The relation between $μd$ capture and the $νd$ reactions, which are important for the SNO experiments, is briefly discussed.

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S. Ando, T. -S. Park, K. Kubodera, F. Myhrer. 2001-09-18. The $μ^-d$ capture rate in effective field theory. https://doi.org/10.1016/s0370-2693(02)01619-2

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