We study the dark matter (DM) effects on the nuclear matter (NM) parameters characterising the equation of states (EOS) of super dense neutron-rich nucleonic-matter. The observables of the NM, i.e. incompressibility, symmetry energy and its higher order derivatives in the presence DM for symmetric and asymmetric NM, are analysed with the help of relativistic mean field (RMF) model. The calculations are also extended to $\beta$-stable matter to explore the properties of the NS. We analyse the DM effects on symmetric NM, pure neutron matter and NS matter with the help of RMF model using NL3, G3 and IOPB-I forces. The binding energy and pressure are calculated with and without considering the DM interaction with the NM systems. The influences of DM are also analysed on the symmetry energy and its different coefficients. The incompressibility and the skewness parameters are affected considerably due to the presence of DM in the NM medium. We extend the calculations to NS and find its mass, radius and the moment of inertia for static and rotating NS with and without DM contribution. The mass of the NS is considerably changes due to rapid rotation with the frequency in the mass-shedding limit. The effects of DM are found to be important for some of the NM parameters, which are crucial for the properties of astrophysical objects.

中文翻译：

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暗物质对核和中子星物质的影响

我们研究了暗物质 (DM) 对核物质 (NM) 参数的影响，这些参数表征了超密集富含中子的核子物质的状态方程 (EOS)。在相对论平均场（RMF）模型的帮助下，对对称和非对称NM的NM的可观测量，即不可压缩性、对称能及其在DM存在下的高阶导数进行了分析。计算也扩展到 $\beta$-stable 物质以探索 NS 的特性。我们借助使用 NL3、G3 和 IOPB-I 力的 RMF 模型分析了 DM 对对称 NM、纯中子物质和 NS 物质的影响。结合能和压力的计算考虑和不考虑 DM 与 NM 系统的相互作用。还分析了DM对对称能及其不同系数的影响。由于 NM 介质中 DM 的存在，不可压缩性和偏度参数受到很大影响。我们将计算扩展到 NS 并找到其质量、半径和静态和旋转 NS 的质量、半径和转动惯量，有和没有 DM 贡献。由于在质量脱落极限内的频率快速旋转，NS 的质量发生了相当大的变化。发现 DM 的影响对一些 NM 参数很重要，这些参数对天体物理对象的特性至关重要。由于在质量脱落极限内的频率快速旋转，NS 的质量发生了相当大的变化。发现 DM 的影响对一些 NM 参数很重要，这些参数对天体物理对象的特性至关重要。由于在质量脱落极限内的频率快速旋转，NS 的质量发生了相当大的变化。发现 DM 的影响对一些 NM 参数很重要，这些参数对天体物理对象的特性至关重要。