Zongcan Yang, Tianxiong Zeng, Yan Yan, Wen-Li Yuan, Chen Zhang, Enping Zhou

We explore the possibility of phase transitions between different quark matter phases occurring within quark stars, giving rise to the hybrid quark stars (HybQSs). Utilizing a well-established general parameterization of interacting quark matter, we construct quark star models featuring sharp first-order quark-quark phase transitions of various types, in contrast to the hadron-quark transition in conventional hybrid stars. We systematically investigate how recent observations, such as the pulsar mass measurements $M_{\rm TOV}\gtrsim2M_{\odot}$ and the GW170817's tidal deformability bound $\Lambda_{1.4M_{\odot}}<800$, constrain the viable parameter space. We also identified twin stars in some of the HybQS parameter space. This work unveils new possibilities of phase transitions and the resulting new types of compact stars in realistic astrophysical scenarios.