Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions 199
Table 48: Peaks of the curve β(tk) in the case n+ =1.36 and t+ = 10 −7 s. See
Table 40 for the description of different scenarios.
Scenario Number Description Figure
of peaks
1 2 Radiation + QCD Bag Model 110a
2 2 Radiation + QCD Lattice Fit 110b
3 1 Radiation 110c
4 3 Radiation + EW Bag Model + QCD Bag Model 110d
5 3 Radiation + EW Bag Model + QCD Lattice Fit 110e
6 2 Radiation + EW Bag Model 110f
When n+ =1.22 and n+ =1.24 there are a few cases for which the peak
from the radiation contribution occurs for tk < 10 −23 s. Taking into account
that our expression for β(tk) is classic (Section 5.1), not valid for epochs earlier
than ∼ 10 −23 s where the maximum is attained, we consider, for these particular
cases, the values correspondent to tk = 10 −23 s (which correspond to
PBHs exploding right now), and we show those values in Table 49 inside square
brackets.
For the QCD Crossover and for the electron–positron annihilation there are
a lot of cases for which there is an important contribution to β, similar to the
radiation contribution, but without any peak. As an example of this, we mention
the case n+ =1.68 and t+ = 100 s (Figure 101f) for which we have a single
peak from the radiation contribution. These cases are labeled, in Table 49, with
‘NA’ (meaning Not Applicable).