Abstract

A method of coupling equations based on the usual assumptions about current divergences is suggested, and the radiative muon capture (RMC) elementary amplitude is derived. As usual, non-radiative weak form factors and the pion photoproduction amplitude are required as input information. The limit m π → 0 usual in the current algebra consideration is shown to be helpful in disentangling the structure of the amplitude. The recent description by Hwang and Primakoff of the RMC is found to be inconsistent with the contemporary models of the photoproduction process. Examples of the photon spectra from the p(μ −, γν)n and 3He(μ −, γν) 3 reactions are calculated.

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