Because of the development of many-body theories of nuclear matter, the long-standing, open problem of the equation of state (EOS) of dense matter may be understood in the near future through the confrontation of theoretical calculations with laboratory measurements of nuclear properties & reactions and increasingly accurate observations in astronomy. In this review, we focus on the following six aspects: 1) providing a survey of the quark mean-field (QMF) model, which consistently describes a nucleon and many-body nucleonic system from a quark potential; 2) applying QMF to both nuclear matter and neutron stars; 3) extending QMF formalism to the description of hypernuclei and hyperon matter, as well as hyperon stars; 4) exploring the hadron-quark phase transition and hybrid stars by combining the QMF model with the quark matter model characterized by the sound speed; 5) constraining interquark interactions through both the gravitational wave signals and electromagnetic signals of binary merger event GW170817; and 6) discussing further opportunities to study dense matter EOS from compact objects, such as neutron star cooling and pulsar glitches.

由于核物质的多体理论的发展，致密物质状态方程（EOS）的长期存在的开放性问题可能会在不久的将来通过将理论计算与核性质的实验室测量结果相冲突来理解和反应以及天文学中越来越精确的观测。在这篇综述中，我们着重于以下六个方面：1）提供了夸克平均场（QMF）模型的调查，该模型始终根据夸克势描述了一个核子和多体核子系统。2）将QMF应用于核物质和中子星；3）将QMF形式主义扩展到对超核和超子物质以及超子星的描述；4）结合QMF模型和具有声速特征的夸克物质模型，探索强子-夸克相变和杂星。5）通过二元合并事件GW170817的引力波信号和电磁信号来约束夸克相互作用；6）讨论了进一步的机会来研究来自紧凑物体（例如中子星冷却和脉冲星故障）的致密物质EOS。