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 $<\hat{I}{\pounds }_h>$. 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 $\hat{I}{º}_m$ and then obtained an analytical expression for $<\hat{I}{\pounds }_h>$. Our calculation is free from the uncertainty of the value of double-pair creation probability per unit time and unit volume $\hat{I}{º}_b$ which was used as a free parameter in earlier calculations. Finally the variations of double-pair creation probability $P_b$ as well as $<\hat{I}{\pounds }_h>$ with temperature are shown and compared with other known results.

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