AI 中文总结
研究暗物质混合中子星，扩展希格斯门户模型，通过密度依赖排斥作用耦合重子与暗物质，用多种状态方程研究其影响，推导相关解析表达式，建立对撞机模型与中子星多信使现象学联系。
AI 中文摘要
我们通过扩展具有大质量$Z^\prime$矢量媒介子的希格斯门户模型，在自洽单流体相对论平均场框架内研究暗物质混合中子星。由此产生的密度依赖排斥相互作用动态耦合重子物质和暗物质部分，暗物质含量由全局粒子分数$F_\chi=N_\chi/N_B$表征，局部暗物质密度自洽确定为$n_\chi=F_\chi n_B$。利用NL3$\omega\rho$、DD2和FSU2R状态方程，表明增加$F_\chi$会使核状态方程变软，最大中子星质量最多降低约29%，增加恒星紧致度并改变致密物质的热力学响应。还推导了绝热声速、其密度导数和绝热指数的精确解析表达式。在微观层面，重子物质与暗物质相互作用由排斥性$Z^\prime$矢量通道主导。该框架建立了对撞机驱动的弱相互作用大质量粒子模型与中子星多信使现象学之间的直接联系，对未来引力波和X射线观测有潜在影响。
英文摘要
We investigate dark matter (DM)-admixed neutron stars (NSs) within a self-consistent single-fluid relativistic mean-field framework by extending the Higgs-portal model with a massive $Z^\prime$ vector mediator. The resulting density-dependent repulsive interaction dynamically couples the baryonic matter (BM) and DM sectors, allowing the DM content to be characterized by the global particle fraction, $F_χ=N_χ/N_B$, with the local DM density determined self-consistently as $n_χ=F_χn_B$, thereby eliminating the need for the externally prescribed DM Fermi momentum adopted in previous single-fluid models. Using the NL3$ωρ$, DD2, and FSU2R EOSs, we show that increasing $F_χ$ systematically softens the nuclear equation of state (EOS), reduces the maximum NS mass by up to $\sim29\%$, increases stellar compactness, and modifies the thermodynamic response of dense matter. We further derive exact analytical expressions for the adiabatic speed of sound, its density derivative, and the adiabatic index, providing a rigorous benchmark for assessing the causality and thermodynamic stability of DM-admixed EOSs. At the microscopic level, the BM--DM interaction is shown to be dominated by the repulsive $Z^\prime$ vector channel. Our framework establishes a direct connection between collider-motivated WIMP models and the multimessenger phenomenology of NSs, with potential implications for future gravitational-wave and X-ray observations.
Comments16 pages, 3 tables
