The equation of state for non-ideal quark gluon plasma

Abstract: The mass spectra of quarkonium systems at temperature equal zero are analyzed by solving the non-relativistic radial wave equation using the internal energy potential. The QGP matter is studied through the dissociations of quarkonium systems. A modified form of the internal energy potential function is used to determine the EoS at different number of quark flavors by using Mayer s cluster expansion theory and phenomenological thermodynamic model. The thermodynamic model gives a good agreement with the lattice results rather than Mayer s cluster expansion theory. One can conclude that, the Mayer s cluster expansion theory may be more suitable to study a weakly coupled plasma while, the QGP may be considered as a strongly interacting plasma.