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 <h>. For this purpose we have derived first the double-pair creation probability Pb in terms of single-pair creation probabilty per unit time and unit volume m and then obtained an analytical expression for <h >. Our calculation is free from the uncertainty of the value of double-pair creation probability per unit time and unit volume b which was used as a free parameter in earlier calculations. Finally the variations of double-pair creation probability Pb as well as <h> with temperature are shown and compared with other known results.

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