  We construct a set of equations of state (EoS) of dense and hot matter with a
1st order phase transition from a hadronic system to a deconfined quark matter
state. In this two-phase approach, hadrons are described using the relativistic
mean field theory with different parametrisations and the deconfined quark
phase is modeled using vBag, a bag-type model extended to include vector
interactions as well as a simultaneous onset of chiral symmetry restoration and
deconfinement. This feature results in a non-trivial connection between the
hadron and quark EoS, modifying the quark phase beyond its onset density. We
find that this unique property has an impact on the predicted hybrid (quark
core) neutron star mass--radius relations.
