Hadron-quark Phase Transition in Hybrid Stars with the Field Correlator Method

We explore the structure of hybrid stars based on a quark matter equation of state (EoS) built with the Field Correlator Method (FCM). For the hadronic phase, we use the microscopic BruecknerHartree-Fock (BHF) many-body theory, and its relativistic counterpart, i.e. the Dirac-Brueckner (DBHF). We find that the main features of the phase transition are directly related to the FCM parameters, i.e. the quark-antiquark potential V1, the gluon condensate G2 and the color-flavour superconducting gap ∆, and that the FCM EoS can be accurately represented by the CSS (constant speed of sound) parametrization. We display the mapping between the FCM EoS and the CSS scheme, and demonstrate that it holds true even in the case of paired quark matter