Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions 132
∆
∆
∆
1.4
1.2
1
0.8
0.6
0.4
0.2
1.4
1.2
0.8
0.6
0.4
0.2
a
∆1
E C
B
0
0 0.2 0.4 0.6 0.8
∆
b
1 1.2 1.4
1
1.4
1.2
0.8
0.6
0.4
0.2
∆1
E C
B
0
0 0.2 0.4 0.6 0.8
∆
c
1 1.2 1.4
1
0
E
∆1
0 0.2 0.4 0.6 0.8 1 1.2 1.4
∆
Figure 56: PBH formation during the QCD transition according to the Bag
Model for the cases: (a) x =0.927, (b) x =0.6, and (c) x =0.308 with δc =1/3
for all the three cases. The solid curve corresponds to the function (1 − f)δc
and the dashed curve corresponds to the identity δ. The borders between the
different classes are given by: (a) δCE ≈ 0.079, δBC ≈ 0.94; (b) δCE ≈ 0.67,
δBC ≈ 1.26; and (c) δCE ≈ 2.24 (not shown). The new threshold for BH
formation is: (a) δc1 ≈ 0.28, (b) δc1 ≈ 0.29, and (c) δc1 ≈ 0.30.