Hadron-Quark Phase Transition in Quark-Hybrid Stars
  The recent discovery of the two-solar mass neutron stars $J1614-2230~(1.97 \pm 0.04 M_{\odot})$ and $J0348+0432~(2.01 \pm 0.04 M_{\odot})$ allows to consider the possible existence of deconfined quarks in the cores of neutron stars. Based on a non-local extension of the $SU(3)$ Nambu Jona-Lasinio model with vector interactions to describe the quark matter phase, and a non-linear Walecka model to represent the hadronic phase, a phase transition between these two phases can be constructed via the Gibbs conditions and imposing global electric charge neutrality condition. Depending on the strength of quark vector repulsion, we find that an extended region made of a mixed phase of quarks and hadrons may exist in high-mass neutron stars with masses up to $2.0-2.4 M_{\odot}$. The radii of these objects are between $12$ and $13$ km, as expected for neutron stars. 
Gustavo A. Contrera, William Spinella, Milva Orsaria and Fridolin   Weber
hep-ph nucl-th