Spin-rotation coupling in compound spin objects

TL;DR

This paper extends the concept of spin-rotation coupling to compound spin systems, revealing a high-frequency modulation in muons bound to nuclei, which could impact precision measurements.

Contribution

It introduces a generalized model of spin-rotation coupling for compound systems and predicts a significant modulation frequency in muon decay processes.

Findings

Modulation frequency around 3 million Hz for muons in nuclei

Higher than the modulation observed in g-2 experiments

Potential implications for precision spin measurements

Abstract

We generalize spin-rotation coupling to compound spin systems. In the case of muons bound to nuclei in a storage ring the decay process acquires a modulation. Typical frequencies for $Z/A\sim 1/2$ are $\sim 3\times 10^6$Hz, a factor 10 higher than the modulation observed in $g-2$ experiments.