Deriving the Qgp-hadron Transition Curve from Two Separate Partition Functions

A method is developed to consistently satisfy the Gibbs equilibrium conditions between the quark-gluon and hadronic phase although each phase has been formulated in separate grand canonical partition function containing three quark flavours. The sector in the space of thermodynamic variables where the transition takes place is restricted to a curve, according to the phase diagram of QCD. The conservation laws of quantum numbers are also imposed on the transition curve. The effect of the inclusion of the newly discovered pentaquark states is considered. The freeze-out conditions of S + S, S + Ag (SPS) and Au + Au (RHIC) are found compatible with a primordial QGP phase, but the conditions indicated by Pb + Pb (SPS) are not. PACS numbers: 12.40.Ee, 05.70.Fh, 12.38.Mh, 24.10.Pa