Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions 136
∆
∆
∆
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
F
E
a
∆1
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
F
E
∆1
0
0 0.2 0.4 0.6 0.8
∆
c
1 1.2 1.4
1
0
F
∆1
0 0.2 0.4 0.6 0.8 1 1.2 1.4
∆
Figure 60: PBH formation during the QCD transition according to the Bag
Model for the cases: (a) x =0.26, (b) x =0.22, and (c) x =0.11 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. Notice that one should use the
function f appropriate to each class (i.e., fE – equation 257 or fF – equation
258). The borders between the different classes are given by: (a) δEF ≈ 0.053;
(b) δEF ≈ 0.25, and (c) δEF ≈ 1.5 (not shown). The new threshold for BH
formation is: (a) δc1 ≈ 0.30, (b) δc1 ≈ 0.31, and (c) δc1 ≈ 0.32. (adapted from
Cardall & Fuller, 1998).