Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions 145
∆
∆
∆
∆
0.5
0.45
0.4
0.35
0.3
0.25
0.5
0.45
0.4
0.35
0.3
0.25
0.5
0.45
0.4
0.35
0.3
0.25
0.5
0.45
0.4
0.35
0.3
0.25
a
∆1
0.2 0.4 0.6 0.8 1 1.2 1.4
∆
c
∆1
0.2 0.4 0.6 0.8 1 1.2 1.4
∆
e
0.2 0.4 0.6 0.8 1 1.2 1.4
∆
g
∆1
∆1
0.2 0.4 0.6 0.8 1 1.2 1.4
∆
∆
∆
∆
∆
0.5
0.45
0.4
0.35
0.3
0.25
0.5
0.45
0.4
0.35
0.3
0.25
0.5
0.45
0.4
0.35
0.3
0.25
0.5
0.45
0.4
0.35
0.3
0.25
b
∆1
0.2 0.4 0.6 0.8 1 1.2 1.4
∆
d
∆1
0.2 0.4 0.6 0.8 1 1.2 1.4
∆
f
∆1
0.2 0.4 0.6 0.8 1 1.2 1.4
∆
h
∆1
0.2 0.4 0.6 0.8 1 1.2 1.4
∆
Figure 67: PBH formation during the QCD transition according to the Crossover
model for the case δc =1/3 and: (a) tk =1.5 × 10 −5 s; (b) tk =3.5 × 10 −5 s; (c)
tk =7.1 × 10 −5 s; (d) tk = 10 −4 s; (e) tk =1.2 × 10 −4 s; (f) tk =1.5 × 10 −4 s;
(g) tk =2.0 × 10 −4 s; (h) tk =2.3 × 10 −4 s. The solid curve corresponds to
the function (1 − f)δc and the dashed curve (on the left) corresponds to the
identity δ. The intersection point between the lines (1 − f)δc and δ (giving the
new threshold, δc1, for BH formation) is: (a) δc1 ≈ 0.333; (b) δc1 ≈ 0.275; (c)
δc1 ≈ 0.307; (d) δc1 ≈ 0.317; (e) δc1 ≈ 0.321; (f) δc1 ≈ 0.324; (g) δc1 ≈ 0.327;
(h) δc1 ≈ 0.328 (see text for more details).