Primordial black holes and dark matter mass spectrum

Because primordial black holes (PBHs) evaporate into all particle species in nature, PBHs may emit several dark matter (DM) particle species with specific mass spectra. We assume that PBHs are the only source of DMs, and DMs only interact with the standard model particles gravitationally. We show a relation between the number of DM particle species $N_{\rm DM}$ and initial PBH density $\beta$ and mass $M_{\rm BH}^{\rm in}$. $\beta$-$M_{\rm BH}^{\rm in}$ curves for different $N_{\rm DM}$ tend to overlap with each other for heavy initial PBHs. We also show that the allowed region of DM masses for multiple DM.