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Table 1.

Brightness temperature and radio excess parameter at z = 18 for different PBH masses and fractions.

MPBH (M) fPBH Tb (K) Ar


Simple Makino+1998 Simple Makino+1998
1 0.0001 1.50 × 10−3 1.43 × 10−3 2.59 × 10−5 2.48 × 10−5
0.007 2.80 × 10−1 4.64 × 10−2 4.84 × 10−3 8.02 × 10−4
0.01 1.60 × 10−1 1.53 × 10−1 2.77 × 10−3 2.65 × 10−3
1.0 5.44 × 101 5.15 × 101 9.40 × 10−1 8.90 × 10−1

10 0.0001 1.06 × 10−2 1.01 × 10−2 1.84 × 10−4 1.74 × 10−4
0.0006 2.62 × 10−1 4.18 × 10−2 4.53 × 10−3 7.23 × 10−4
0.01 2.50 × 100 2.60 × 100 4.32 × 10−2 4.49 × 10−2
1.0 6.14 × 102 6.19 × 102 1.06 × 101 1.07 × 101

33 0.0001 2.42 × 10−2 2.32 × 10−2 4.19 × 10−4 4.01 × 10−4
0.0006 6.52 × 10−1 1.30 × 10−1 1.13 × 10−2 2.25 × 10−3
0.01 1.22 × 101 1.29 × 101 2.12 × 10−1 2.23 × 10−1
1.0 1.72 × 103 1.76 × 103 2.97 × 101 3.05 × 101

100 0.0001 4.51 × 10−2 4.39 × 10−2 7.80 × 10−4 7.59 × 10−4
0.0007 1.67 × 100 4.14 × 10−1 2.88 × 10−2 7.16 × 10−3
0.01 3.83 × 101 4.07 × 101 6.63 × 10−1 7.03 × 10−1
1.0 4.05 × 103 4.23 × 103 7.01 × 101 7.30 × 101

Notes. The values shown correspond to the same PBH masses and fractions used in Fig. 5, computed using the simple isothermal and Makino+1998 halo density profiles. Only for PBH masses greater than 1 M with a fraction fPBH = 1, the radio excess parameter Ar satisfies the EDGES constraint (1.9 < Ar < 418; Fialkov & Barkana 2019), which is consistent with the observed 21-cm absorption signal and a required excess radio background relative to the cmB.

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