Title: Measuring the molecular Migdal effect with neutron scattering on diatomic gases

Abstract: 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.