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We study the properties of hybrid stars containing a color superconductingquark matter phase in their cores, which is described by the chirally symmetricformulation of the confining relativistic density functional approach. It isshown that depending on the dimensionless vector and diquark couplings of quarkmatter, the characteristics of the deconfinement phase transition are varied,allowing us to study the relation between those characteristics and mass-radiusrelations of hybrid stars. Moreover, we show that the quark matter equation ofstate (EoS) can be nicely fitted by the Alford-Braby-Paris-Reddy model thatgives a simple functional dependence between the most important parameters ofthe EoS and microscopic parameters of the initial Lagrangian. Based on it, weanalyze the special points of the mass-radius diagram in which severalmass-radius curves intersect. Using the found empirical relation between themass of the special point, the maximum mass of the mass-radius curve, and theonset mass of quark deconfinement, we constrain the range of values of thevector and diquark couplings of the quark matter model. With this constraint,we construct a family of mass-radius curves, which allow us to describe theblack widow pulsar PSR J0952-0607 with a mass of $2.35\pm 0.17~\rm M_\odot$ asa hybrid star with a color superconducting quark matter core.

Hybrid star phenomenology from the properties of the special point