https://doi.org/10.1140/epjc/s10052-023-12115-4
Regular Article – Theoretical Physics
Constraints on primordial black holes in the mixed dark matter scenarios using the ratio 
1
School of Physics and Physical Engineering, Qufu Normal University, 273165, Qufu, Shandong, China
2
School of Cyber Science and Engineering, Qufu Normal University, 273165, Qufu, Shandong, China
3
Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing University-Purple Mountain Observatory, 210093, Nanjing, Jiangsu, China
Received:
15
August
2023
Accepted:
4
October
2023
Published online:
16
October
2023
We derive the upper limit on the dark matter (DM) fraction in primordial black holes (PBHs) in the mixed DM scenarios. In this scenarios, a PBH can accrete weakly interacting massive particles (WIMPs) to form a ultracompact minihalo (UCMH) with a density profile of 
. The energy released from UCMHs due to dark matter annihilation has influence on the photodissociation of 
, producing the 
and the D. By requiring that the ratio 
caused by UCMHs does not exceed the measured value, we derive the upper limit on the dark matter fraction in PBHs. For the canonical value of DM thermally averaged annihilation cross section 
, we find that the upper limit is 
for DM mass 
. Compared with other limits obtained by different astronomical measurements, although our limit is not the strongest, we provide a different way of constraining the cosmological abundance of PBHs.
© The Author(s) 2023
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