Abstract
Isothermal baryon-number fluctuations arising from a first-order quark-hadron phase transition in the early Universe are obtained by including the quark-gluon interactions up to the order [ital g][sub [ital s]][sup 3] in the perturbative QCD coupling constant in the quark-gluon plasma (QGP) phase and the finite-size volume corrections for the hadrons in the hadron-resonance gas (HRG) and their effects on the primordial nucleosynthesis (PNS) are analyzed. The ratio of the baryon-number densities in the QGP and HRG phases at the critical temperature [ital T][sub [ital c]] is larger than one in the range 150 MeV[lt][ital T][sub [ital c]][lt]260 MeV. However, it is far larger than one even when [ital T][sub [ital c]] is outside this range, thus affecting primordial nucleosynthesis significantly.
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