Value of the axial-vector coupling constantgA,μfrom muon nuclear capture experiments in hydrogen, deuterium, and helium

The results of muon capture experiments in hydrogen, deuterium, and ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ were analyzed by comparing the observed capture rates to their theoretical expressions. From each experimental result, assuming conserved-vector-current, an allowed region of variation was obtained for the possible pairs of the axial-vector ($g_{A,\mu }$) and induced pseudoscalar ($g_{P,\mu }$) coupling constants. Assuming $g_{P,\mu }$ as given by one-pion exchange dominance, a limited range of variation for $g_{A,\mu }$ was then derived from each experimental result.