Abstract
The μ − + 2 H → νμ + n + n, μ − + 3 He → νμ + 3 H, μ − + 3 He → νμ + n + d ,a ndμ − + 3 He → νμ + n + n + p capture reactions are studied with various realistic potentials under full inclusion offinal-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 tested our calculation in the case of the μ − + 2 H → νμ + n + n and μ − + 3 He → νμ + 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 are compared with the most recent experimental data, finding a rough agreement for the total capture rates, but failing to reproduce the differential capture rates.
Highlights
Muon capture reactions on light nuclei have been studied intensively both experimentally and theoretically for many years and information on earlier achievements can be found in Refs. [1,2,3,4]
The μ− +3 He → νμ + n + d and μ− +3 He → νμ + n + n + p capture reactions are studied under full inclusion of final state interactions with the AV18 nucleon-nucleon potential, augmented by the Urbana IX three-nucleon force, and employing the single nucleon weak current operator
Recent theoretical efforts, presented for example in Refs. [5,6,7,8], focused on the μ− +2 H → νμ + n + n and μ− +3 He → νμ +3 H reactions. These calculations were based on various dynamical inputs, representing the so-called phenomenological approach, the “hybrid” chiral effective field theory approach and the “non-hybrid” χEFT approach
Summary
Muon capture reactions on light nuclei have been studied intensively both experimentally and theoretically for many years and information on earlier achievements can be found in Refs. [1,2,3,4]. The μ− +3 He → νμ + n + d and μ− +3 He → νμ + n + n + p capture reactions are studied under full inclusion of final state interactions with the AV18 nucleon-nucleon potential, augmented by the Urbana IX three-nucleon force, and employing the single nucleon weak current operator. Our results are compared with the most recent experimental data, finding a rough agreement for the total capture rates, but failing to reproduce the differential capture rates.
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