Coexistence Test of Primordial Black Holes and Particle Dark Matter from Diffractive Lensing

If dark matter (DM) consists of primordial black holes (PBHs) and particles simultaneously, PBHs are generically embedded within particle DM halos. Such ``dressed PBHs’’ (dPBHs) are subject to modified constraints compared to PBHs and can contribute to significant DM abundance in the mass range ${10}^{-1}-{10}^2{M}_{\odot }$. We show that diffractive lensing of chirping gravitational waves (GWs) from binary mergers can not only discover, but can also identify dPBH lenses and discriminate them from bare PBHs on the event-by-event basis, with potential to definitively establish the coexistence of subdominant PBHs and particle DM.