Radiative Muon Capture

Abstract

The theory of radiative muon capture is developed. The discussion includes both parity conserving and nonconserving effects. The Gell-Mann weak magnetic term and the induced pseudoscalar are included, along with comparable relativistic effects in the nucleons. The theory is applied to light nuclei and especially to the radiative Godfrey reaction ${\ensuremath{\mu}}^{\ensuremath{-}}+_{6}\mathrm{C}^{12}\ensuremath{\rightarrow}\ensuremath{\nu}+\ensuremath{\gamma}+_{5}\mathrm{B}^{12}$. An experiment to detect the induced pseudoscalar directly is proposed.