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If dark matter (DM) consists of primordial black holes (PBHs) and particlessimultaneously, PBHs are generically embedded within particle DM halos. Such"dressed PBHs" (dPBHs) are not subject to typical PBH constraints and canexplain the DM abundance in the mass range $10^{-1} \sim 10^2 M_\odot$. We showthat diffractive lensing of chirping gravitational waves (GWs) from binarymergers can not only discover, but can also identify dPBH lenses anddiscriminate them from bare PBHs on the event-by-event basis, with potential touniquely establish the co-existence of subdominant PBHs and particle DM.

Co-Existence Test of Primordial Black Holes and Particle Dark Matter