arXiv:1002.4780v2 [hep-ph] 3 May 2010 PACS numbers: 12.38.Mh, 12.38.Gc, 25.75.Nq, 24.10.Pa QCD Critical Point in a Quasiparticle Model Abstract Recent theoretical investigations have unveiled a rich structure in the quantum chromodynamics (QCD) phase diagram which consists of quark gluon plasma (QGP) and the hadronic phases but also supports the existence of a cross-over transition ending at a critical end point (CEP). We find a too large variation in determination of the coordinates of the CEP in the temperature (T), baryon chemical potential ( µ$_{B}$ ) plane and, therefore, its identification in the current heavy-ion experiments becomes debatable. Here we use an equation of state (EOS) for a deconfined QGP using a thermodynamically consistent quasiparticle model involving quarks and gluons having thermal masses. We further use a thermodynamically consistent excluded volume model for the hadron gas (HG) which was recently proposed by us. Using these equations of state, a first order deconfining phase transition is constructed using Gibbs’ criteria. This leads to an interesting finding that the phase transition line ends at a critical point (CEP) beyond which a cross-over region exists. Using our thermal HG model, we obtain a chemical freeze out curve and we find that the CEP lies in close proximity to this curve as proposed by some authors. The coordinates of CEP are found to lie within the reach of RHIC experiment. P. K. Srivastava, S. K. Tiwari, and C. P. Singh ∗ Department of Physics, Banaras Hindu University, Varanasi 221005, INDIA ∗ corresponding author: cpsingh$_{−}$bhu @ yahoo.co.in