Michel decay spectrum for a muon bound to a nucleus

Abstract

The spectrum of electrons from muons decaying in an atomic bound state is significantly modified by their interaction with the nucleus. Somewhat unexpectedly, its first measurement, at the Canadian laboratory TRIUMF, differed from basic theory. We show, using a combination of techniques developed in atomic, nuclear, and high-energy physics, that radiative corrections eliminate the discrepancy. In addition to solving that outstanding problem, our more precise predictions are potentially useful for interpreting future high-statistics muon experiments that aim to search for exotic interactions at $10^{-16}$ sensitivity.

6 pages, 4 figures, Alberta Thy 7-14 v2: Expanded discussion. Journal version

References in corpus (4)

• Muon decay in orbit: spectrum of high-energy electrons
• Measurement of Muon Capture on the Proton to 1% Precision and Determination of the Pseudoscalar Coupling g_P
• Electroweak Radiative Corrections to Muon Capture
• Decay of negative muons bound in ${}^{27}$Al

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