非对称核物质状态方程对于远离beta稳定线核素性质、核反应与核天体物理起着决定性作用，而其中的非对称物质的对称能是最近十多年来国际核物理界的研究热点之一。在高密度区，不同的模型方法可给出完全不同的对称能密度依赖关系（DDSE）；目前认为张量力贡献是重要的。因此，将在过去的密度依赖的相对论平均场方法的基础上包括交换项，从而研究其中的张量力效应。相比于交换项，广义的交换作用需要考虑新自由度的贡献，特别是夸克自由度的贡献。考虑夸克间可能的相互作用对对称能的贡献，是很有意义的。此外，鉴于暗物质日益受关注，我们将研究暗物质对中子星性质的影响。期望结合非对称核物质状态方程的限制通过中子星质量半径关系的观测数据限制核子与暗物质的反应截面以及中子星对暗物质的吸积率。这可为地球实验室的探测提供一些参考。最后，将研究对称能对丰中子、丰质子核结构性质的影响，并试图寻找敏感于对称能的物理量。

The nuclear equation of state (EOS) of asymmetric matter plays a crucial role in understanding properties of nuclei far off beta stability, reaction dynamics and many astrophysical issues. The determination of one most important constituent of such an EOS, the symmetry energy and its density dependence, has become one of hot frontier issue of nuclear physics. At high densities, totally different density dependencies of the symmetry energy can be obtained from various theoretical approaches, whereas the tensor force has been regarded to play an important role in the diversity of the symmetry energy. Therefore, based on the density-dependent relativistic mean-field models, the Fock term will be included to deal with the effects of the tensor force. With comparison to the exchange Fock term, a general concept of the exchange should apply to the introduction of new degrees of freedom, especially the quark degree of freedom. It is significant to explore the influence of the possible interactions among quarks on the symmetry energy.　On the other hand, dark matter attracts more and more attention nowadays. In this project, the role of dark matter in neutron stars will be explored. We expect that the dark matter-nucleon cross sections and accretion rates of dark matter onto neutron stars can be significantly constrained with the help of the data of the neutron star radius-mass relation from observations, combined with the constraints on nuclear EOS of asymmetric matter. This may possibly provide references to the terrestrial experiments designed to probe dark matter. At last, we will work on the effects of the symmetry energy on structural properties of neutron-rich and proton-rich nuclei and attempt to seek for observables sensitive to the symmetry energy.