  The Migdal effect is a key inelastic signal channel which could be used to
detect low-mass dark matter, but it has never been observed experimentally
using Standard Model probes. Here we propose an experiment which could detect
the Migdal effect in diatomic molecules through low-energy neutron scattering.
The enhancement of the Migdal rate through non-adiabatic couplings, which are
absent in isolated atoms, combined with the distinctive photon energies of
electronic transitions in CO, suggest that a positive detection of the
molecular Migdal effect may be possible with modest beam times at existing
neutron facilities.
