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The µ − + 2 H → ν µ +n+n, µ − + 3 He → ν µ + 3 H, µ − + 3 He → ν µ +n+d and µ − + 3 He → ν µ +n+n+p capture reactions are studied with various realistic potentials under full inclusion of final state interactions. Our results for the two-and three-body break-up of 3 He are calculated with a variety of nucleon-nucleon potentials, among which is the AV18 potential, augmented by the Urbana IX three-nucleon potential. Most of our results are based on the single nucleon weak current operator. As a first step, we have tested our calculation in the case of the µ − + 2 H → ν µ + n + n and µ − + 3 He → ν µ + 3 H reactions, for which theoretical predictions obtained in a comparable framework are available. Additionally, we have been able to obtain for the first time a realistic estimate for the total rates of the muon capture reactions on 3 He in the break-up channels: 544 s −1 and 154 s −1 for the n + d and n + n + p channels, respectively. Our results have also been compared with the most recent experimental data, finding a rough agreement for the total capture rates, but failing to reproduce the differential capture rates.

We compare results from traditional partial wave treatment of deuteron electro-disintegration with a new approach that uses three-dimensional formalism. The new framework for the two-nucleon (2N) system using a complete set of isospin-spin states made it possible to construct simple implementations that employ a very general operator form of the current operator and 2N states.