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

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

2001-09-18

arxiv.org/abs/nucl-th/0109053v1

Phys.Lett. B533 (2002) 25-36

Physics

Nuclear Physics

Nuclear Theory

15 pages, 1 figure

Scientific paper

10.1016/S0370-2693(02)01619-2

Muon capture on the deuteron is studied in heavy baryon chiral perturbation theory (HBChPT). It is found that by far the dominant contribution to $\mu d$ 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 $\mu d$ capture rate is consistent with the existing data. The relation between $\mu d$ capture and the $\nu d$ reactions, which are important for the SNO experiments, is briefly discussed.

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