Primordial Black Holes and Cosmological Phase Transitions Report ...

PBHs and Cosmological Phase Transitions 84
TMeV
200
180
160
140
T1
T2
0 0.02 0.04 0.06 0.08 0.1
TTc
Figure 32: The width of the QCD Crossover in terms of temperature as a
function of the parameter ∆T (cf. equation 143) when Tc = 170 MeV (dashed
line). Here, T1 represents the temperature when the sound speed gets less than
95% of its ‘background’ value (1/3) and T2 represents the temperature when
the sound speed reaches, once again, 95% of its ‘background’ value. Thus, the
width of the QCD Crossover, for a given ∆T , is given by T1 − T2.
Table 19: The width of the QCD Crossover in terms of time as a function of
the parameter ∆T (cf. equation 152) when tc =1.08 × 10 −4 s corresponding to
Tc ≈ 170 MeV. The instant t1 represents the time when the sound speed gets
less than 95% of its ‘background’ value (1/3) and t2 represents the instant when
the sound speed reaches, once again, 95% of its ‘background’ value. The time
width of the QCD Crossover is given by t2 − t1.
∆T
Tc
t1(×10 −5 s) t2(×10 −5 s) t2 − t1(×10 −5 s)
0.01 10.1 11.7 1.6
0.02 9.6 12.5 2.9
0.03 9.2 13.3 4.1
0.04 8.8 14.1 5.3
0.05 8.5 15.0 6.5
0.06 8.1 15.8 7.7
0.07 7.9 16.7 8.8
0.08 7.6 17.7 10.1
0.09 7.4 18.6 11.2
0.10 7.1 19.6 12.5