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We have revisited the nucleation process based on the Lifshitz-Kagan theory,which is the underlying mechanism of conversion of a pulsar constituted ofhadronic matter to a quark star. We have selected appropriate models that havebeen tested against experimental and observational constraints to restrict themodel arbitrariness present in previous investigations. The phase transitionpressures and chemical potentials have been identified and afterwards, thetunneling probabilities and the nucleation time were computed. The criticalpressures for which the half life of the metastable hadronic phase is one yearwere obtained. Even with the restrictions imposed to the selection of models,the results remained model dependent, but we found that the tunneling thatmakes possible the appearance of stable matter requires an overpressure that ispractically independent of the quark matter bag constant. Finally, we haveconfirmed that the nucleation process can be one of the causes of gamma-raybursts.

Phase transition in compact stars: nucleation mechanism and $\gamma$-ray bursts revisited