Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions 130
∆
∆
∆
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
C
a
0
0 0.2 0.4 0.6 0.8
∆
b
1 1.2 1.4
1
1.4
1.2
C
B
B
∆1
0
0 0.2 0.4 0.6 0.8
∆
c
1 1.2 1.4
1
0.8
0.6
0.4
0.2
0
C
B
A
∆1
0 0.2 0.4 0.6 0.8 1 1.2 1.4
∆
Figure 53: PBH formation during the QCD transition according to the Bag
Model for the cases: (a) x = 2, (b) x = 15, and (c) x = 30. The solid curve
corresponds to the function (1 − f)δc with, from bottom to top, δc = 1/3,
δc =0.4, δc =0.5, δc =0.6 and δc =0.7. In red we show the region where
PBH formation takes place. The borders between the different classes (which
do not depend on the value of δc) are given by: (a) δAB = 1, δBC ≈ 0.58; (b)
δAB ≈ 0.29, δBC ≈ 0.18; and (c) δAB ≈ 0.20, δBC ≈ 0.13 (see more details in
Figures 50 and 51).
A
∆1
A