Baryon number penetrability as a measure of isothermal baryon number fluctuations in the early universe

Abstract

We have examined the efficiency of baryon-number transport mechanism across the phase boundary in a cosmological quark-hadron phase transition through the proper estimate of baryon-number penetrability Σ h . For this purpose we have derived first the double-pair creation probability P b in terms of single-pair creation probabilty per unit time and unit volume κ m and then obtained an analytical expression for Σ h . Our calculation is free from the uncertainty of the value of double-pair creation probability per unit time and unit volume κ b which was used as a free parameter in earlier calculations. Finally the variations of double-pair creation probability P b as well as Σ h with temperature are shown and compared with other known results. †

Primordial nuggets survival and QCD pairing

“…The parameter α is introduced in order to reproduce approximately the behavior of the flux within very different models, which differ by several orders of magnitude (see e.g. [13,14,15]). While above the critical temperature for pair formation T ∆ , the evaporation rate would be given by Eq.…”

“…The baryon number transport across the conversion front depends on the bulk properties of both phases and on the penetrability of the interface (which quantifies the chance of baryon number to pass from one side of the boundary to the other). Estimations of baryon number penetrability have been made within the frame of the chromoelectric flux tube model [8,12,13,14]. If the baryon penetrability indeed happens to be small, it may be possible to accumulate almost all the baryon number density in the quark-gluon phase (see below).…”