Quark stars with the density-dependent quark mass model

The recent observation of the pulsar PSR J1614-2230 with a mass of 1.97 ± 0.04 M ⊙ gives a strong constraint on the equation of state (EoS) of the dense matter in compact stars. In this work, we calculate the maximum mass of quark stars with the density-dependent quark mass model, and explore the parameter ranges for this model fully, by considering the constraints of absolute stability of strange quark matter and the mass of PSR J1614-2230. Without the color-superconductivity, the maximum mass of unpaired quark stars is more sensitive to the parameter C, and complies with the constraints within the range of 96 MeV fm - 3 ≲ C ≲ 130 MeV fm - 3 . The largest mass can reach 2.25 M ⊙ at C ≃ 96.54 MeV fm - 3 and m s 0 ≃ 145 MeV . For the quark stars composed of the quark matter in color-flavor locked (CFL) phase, we can obtain quite large maximum masses at a sufficiently high gap value, but the value of m s 0 is very important in deciding the maximum mass of the CFL quark stars.