Sub-GeV dark matter that interacts hadronically is ruled out for nucleon scattering cross sections above 10^{-36} cm² across the keV to 100 MeV mass range by combined cosmological and particle-decay constraints.
In fact, sub-MeV mass states that were in equilibrium at any time after the QCD phase transition but before the end of BBN are essentially excluded
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Irreducible Constraints on Hadronically Interacting Sub-GeV Dark Matter
Sub-GeV dark matter that interacts hadronically is ruled out for nucleon scattering cross sections above 10^{-36} cm² across the keV to 100 MeV mass range by combined cosmological and particle-decay constraints.