Spin-rotation coupling in compound spin objects

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 $Z\mathrm{/}A\sim 1\mathrm{/}2$ are $\sim 3\times {10}^6$Hz, a factor 10 higher than the modulation observed in $g-2$ experiments.