Cooling of hybrid neutron stars and hypothetical self-bound objects with superconducting quark cores

We study the consequences of superconduct- ing quark cores (with color-flavor-locked phase as repre- sentative example) for evolution of temperature proles and the cooling curves in quark-hadron hybrid stars and in hypothetical self-bounded objects having no a hadron shell (quark core neutron stars). The quark gaps are var- ied from 0t oq = 50 MeV. For hybrid stars we nd time scales of 1 5, 5 10 and 50 100 years for the formation of a quasistationary temperature distribution in the cases q = 0, 0.1 MeV and > 1 MeV, respectively. These time scales are governed by the heat transport within quark cores for large diquark gaps ( > 1 MeV) and within the hadron shell for small diquark gaps ( 10 MeV and a very short one for < 1 MeV. If hot young compact objects will be observed they can be interpreted as manifestation of large gap color superconductivity. Depending on the size of the pairing gaps, the compact star takes dierent paths in the lgTs vs. lgt diagram where Ts is the surface tem- perature. Compared to the corresponding hadronic model which well ts existing data the model for the hybrid neu- tron star (with a large diquark gap) shows too fast cooling. The same conclusion can be drawn for the corresponding self-bound objects.