Tidal deformability of strange stars and the GW170817 event

In this work we consider strange stars formed by quark matter in the color-flavor-locked (CFL) phase of color superconductivity. The CFL phase is described by a Nambu-Jona-Lasinio model with four-fermion vector and diquark interaction channels. The effect of the color superconducting medium on the gluons are incorporated into the model by including the gluon self-energy in the thermodynamic potential. We construct parametrizations of the model by varying the vector coupling GV and comparing the results to the data on tidal deformability from the GW170817 event, the observational data on maximum masses from massive pulsars such as the MSP J 0740 + 6620 , and the mass/radius fits to NICER data for PSR J 003 + 0451 . Our results point out to windows for the GV parameter space of the model, with and without gluon effects included, that are compatible with all these astrophysical constraints, namely, 0.21 < GV / GS < 0.4 , and 0.02 < GV / GS < 0.1 , respectively. We also observe a strong correlation between the tidal deformabilites of the GW170817 event and GV. Our results indicate that strange stars cannot be ruled out in collisions of compact binaries from the structural point of view.