Continuity-equation constraint in the two-vertex nuclear processes: Radiative muon capture on 16O and 40Ca

Induced pseudoscalar coupling of the proton weak interaction

“…Calculations using this MIA suggest that it is extremely important (Eramzhyan et al, 1998;Gmitro et al, 1990Gmitro et al, , 1986Gmitro et al, , 1991. It reduces the RMC rate by a factor of two or more and thus increases the value of g p needed to fit a given experimental result rather dramatically.…”

“…Still another attempt to modify the basic Hamiltonian has been proposed by Gmitro et al (1986). The idea here is to use current conservation to evaluate parts of the matrix element.…”

“…Modern shell model codes are good enough however to produce enough of the excited states so that for at least some nuclei the important transitions can be calculated and summed. Most recent calculations (Eramzhyan et al, 1998;Gmitro et al, 1990Gmitro et al, , 1986Gmitro et al, , 1991 have used this approach.…”

“…The average of those included in Table XIII is R γ = 2.08 ± 0.11. A number of calculations are available including the phenomenological models of Fearing (1966) and Christillin (1981), the microscopic shell model calculations of Gmitro et al (1986) and the sum rule calculations of Roig and Navarro (1990). Unfortunately as discussed earlier the calculation of inclusive RMC on complex nuclei is notoriously difficult.…”

“…The calculation of Roig and Navarro (1990) used fairly realistic RPA wave functions but with the phenomenological aspects of a sum rule calculation to obtain R γ = 1.87. The microscopic shell model calculation of Gmitro et al (1986) used simple 1p-1h wave functions, with some corrections to obtain R γ = 4.25 in the standard IA and R γ = 2.28 in the MIA. Thus the MIA makes a large difference, and brings the results in closer agreement with the more phenomenological approaches.…”