Simple relation between radiative pion absorption and muon-capture in nuclei

Abstract

It is shown numerically that for light nuclei with J = 0 +, T = 0 ground state, the ratio of the total radiative 1S pion capture rate Γ(π −) to the total muon capture rate Γ(μ −) is very nearly independent of nuclear structure, depending only on the ratio of squares of pionic and muonic atomic wave functions averaged over the nuclear dimension.