标题： 对短程相关和混合暗物质中中子星振荡频率的对称能斜率的影响 显示英文标题

标题： Impacts of symmetry energy slope on the oscillation frequencies of neutron stars with short-range correlation and admixed dark matter

摘要： 紧凑星的振荡模式通常可以作为确定致密物质状态方程（EOS）的特征指纹。 在本研究中，我们首次在相对论平均场理论框架下，研究了对称能斜率（$L$）对含有核子-核子短程相关（SRC）和混合暗物质（DM）的中子星（NSs）振荡频率的影响。 通过调整$L$，我们根据 SRC 和 DM 的影响修订了 EOS 和耦合参数，并构建了新的集合。 结果表明，内部含有 SRC 和 DM 的 NSs 更有可能满足观测约束，我们发现较小的$L$会表现出更大的基频非径向和径向频率，且对大分离（LG）的影响也主要集中在低质量区域。 此外，我们更新了非径向频率与平均密度之间的线性关系，并进一步给出了不同$L$下非径向和径向频率以及潮汐可变形性之间的经验关系，针对 1.4$M_{\odot}$和 2$M_{\odot}$。 这些发现将使我们能够更有效地限制 NS 的 EOS，同时也能为限制$L$提供一种策略。 显示英文摘要

摘要： Oscillation modes of compact stars, in general, can serve as a fingerprint in determining the equation of state (EOS) of dense matter. In this study, we examine the impact of symmetry energy slope ($L$) on the oscillation frequencies of neutron stars (NSs) with nucleon-nucleon short range correlation (SRC) and admixed dark matter (DM) for the first time within the relativistic mean-field theory. By adjusting the $L$, we revise the EOS and coupling parameters in light of the SRC and DM effects, and construct the new sets. The results reveal that NSs containing SRC and DM inside are more likely to satisfy the observational constraints, and we find that smaller $L$ exhibits larger fundamental non-radial and radial frequencies, and that the effect on Large Separation (LG) is also mainly concentrated in the low-mass region. Moreover, we update the linear relationship between the non-radial frequency and mean density, and we further give empirical relations between non-radial and radial frequencies and tidal deformability at different $L$ for 1.4$M_{\odot}$ and 2$M_{\odot}$. These findings will enable us to more effectively confine the NS EOSs, in turn, also provide a strategy to place constraints on the $L$.