Nuclear Muon capture

Radiative muon capture by3He

“…These steps would entail a much more complicated calculation than the one here solely considering one-body currents. Congleton and Truhlik [9] calculated the MEC contribution to the simpler problem of OMC by 3 He and found that IA+MEC prediction of the exclusive OMC statistical rate agrees with both the EPM calculation and experiment [28]. 6 Clearly something similar needs to be done for RMC.…”

“…In this picture, the constituent nucleons inside the nucleus are approximated as free (this is probably a good approximation as the binding energy of the trinucleon system is ∼8 MeV, which is about 0.3% of the mass of the nucleus) and the nuclear reaction 3 He + µ − → 3 H + ν µ + γ is viewed as the sum of its nucleon counterparts p + µ − → n + ν µ + γ (that is, only one-body currents are considered and two-body meson exchange currents are neglected or put in later as a correction). The extra degrees of freedom which arise from considering each nucleon of the nucleus instead of treating the nucleus as a whole are integrated out using realistic tri-nucleon wave functions.…”

“…A recent TRIUMF experiment [1,2] designed to measure the rate of the radiative muon capture (RMC) reaction 3 He + µ − → 3 H + γ + ν µ has sparked a renewed interest in this process. Since it is more sensitive to the nucleon pseudoscalar form factor g P than its non-radiative counterpart (Refs.…”

“…Since it is more sensitive to the nucleon pseudoscalar form factor g P than its non-radiative counterpart (Refs. [3,4] are two reviews on ordinary muon capture), it is an ideal candidate for checking the value of this form factor which is theoretically predicted by PCAC (Partial Conservation of Axial Current). With the experiment on-going, it is necessary to have a modern theoretical calculation of the process to interpret the anticipated experimental results.…”

“…[13] for an alternative presentation of the Adler and Dothan procedure). The elementary particle model approach is discussed in section III, where both 3 He and 3 H nuclei are treated as single entities with internal structure revealed only by the phenomenological nuclear form factors taken from experiments. We will then discuss the impulse approximation approach in section IV.…”