Finite Size Corrected Relativistic Mean-Field Model and QCD Critical End Point

Abstract

We study the effect of finite size of hadrons on the quark hadron phase transition and in particular on the location of the critical end point of such a phase transition. The corrections to the hadronic equation of state are incorporated in a thermodynamic consistent manner for a vander Walls like interaction. For quark gluon plasma phase we take a bag model like equation of state which takes into account the perturbative interactions among the plasma constituents. We find that for finite sized baryons the first order quark hadron phase transition is not possible for the entire QCD phase diagram. The end point of first order phase coexistence line arises towards the higher chemical potential values in comparison to the point sized baryons, beyond which the transition from hadronic phase to the quark gluon plasma phase might be either crossover or second order phase transition. Our findings are consistent with the finite size scaling ( FSS ) analysis of RHIC data which negates the critical end point with baryon chemical potential values of less than 400 MeV