On the Equation of State for Diquark Systems and their importance in Astrophysics and Cosmology

With a view to studying diquark formation in QCD phase transition and its consequences in high energy density physics, the energy per quark for the extended scalar diquarks (ESD) as a function of density is calculated, within the framework of an effective phi four theory, for several values of the effective interaction parameter (lamda). Various equations of state for the ESD systems corresponding to the different values of lamda are obtained. The importance of the equations of state for such matter under extreme conditions of density and/or temperature is discussed and the role of the astrophysical diquarks in astrophysics and cosmological diquarks in cosmological conditions is also highlighted.