Abstract
We present the results of a recent simultaneous study of the muon capture reactions 2H(μ −, ν μ )nn and 3He(μ −, ν μ )3H. The initial and final A = 2 and 3 nuclear wave functions are obtained from the Argonne v 18 or chiral N3LO two-nucleon potential, in combination with, respectively, the Urbana IX or chiral N2LO three-nucleon potential in the case of A = 3. The weak current consists of polar- and axial-vector components. The former are related to the isovector piece of the electromagnetic current via the conserved-vector-current hypothesis. These and the axial currents are derived either in a meson-exchange or in a chiral effective field theory (χEFT) framework. In the first case, there is one parameter which is fixed by reproducing the Gamow-Teller matrix element in tritium β-decay (GTEXP). In the second case, the low-energy constants, two in the polar and one in the axial-vector current, are fixed, respectively, by reproducing the A = 3 magnetic moments and GTEXP. The total rates are found to be 392.0 ± 2.3 s−1 for A = 2, and 1484 ± 13 s−1 for A = 3, where the spread accounts for the model dependence relative to the adopted interactions and currents (and cutoff sensitivity in the χEFT currents).
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Marcucci, L.E. Muon Capture on Deuteron and 3He. Few-Body Syst 50, 383–385 (2011). https://doi.org/10.1007/s00601-010-0134-4
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DOI: https://doi.org/10.1007/s00601-010-0134-4