AI 中文总结
研究暗物质和磁场对中子星性质的影响，用相对论平均场理论的状态方程及单流体方法求解TOV方程，考虑不同状态方程情形、暗物质参数区域和磁场值，将理论预测与脉冲星观测数据比较。
AI 中文摘要
中子星因其极高的物质密度和强磁场，为探索超越粒子物理标准模型的新物理提供了绝佳环境。本文研究了既有暗物质成分和内部磁场对中子星结构性质的影响。采用基于相对论平均场理论的状态方程，用单流体方法求解托尔曼 - 奥本海默 - 沃尔科夫（TOV）方程来计算质量 - 半径、潮汐形变、紧致度和非径向振荡频率等性质。考虑了两种状态方程情形，在暗物质部分考虑了通过希格斯门户相互作用与核子相互作用的大质量费米子暗物质。探索了暗物质费米动量在\(k_F = 0.01\) GeV - \(0.06\) GeV范围以及两种不同暗物质质量值\(M_\chi = 200\) GeV和\(300\) GeV时的参数区域，还考虑了磁化中子星的两种中心磁场值\(B_c = 7\times10^{17}\)高斯、\(9 \times 10^{17}\)高斯。最后将理论预测与从引力波观测获得的脉冲星观测质量 - 半径和潮汐形变数据进行了比较。
英文摘要
Neutron stars, due to their extremely high matter density and strong magnetic field, provide the best environment for exploring new physics beyond the Standard Model of particle physics. In this work, we study the effect of pre-existing dark matter component and an internal magnetic field on the structural properties of neutron stars. We employed relativistic mean field theory based equations of state and used a single fluid approach for solving the Tolman-Oppenheimer-Volkoff (TOV) equation to compute properties like mass-radius, tidal deformability, compactness, and non-radial oscillation frequencies. We consider the following two scenarios for equation of state (EoS): (1) density-independent couplings along with non-linear interactions of mesons, and (2) density-dependent couplings, with only considering linear interactions for mesons. These mesons mediate the interactions between nucleonic constituents of a neutron star. In the dark matter sector we consider a massive fermionic dark matter which interacts with the nucleons through a Higgs portal interaction. We explore parameter regions for Fermi momentum of dark matter in the range $k_F = 0.01$ GeV - $0.06$ GeV, and two different values of the mass of fermionic dark matter, $M_χ= 200$ GeV and $300$ GeV. We consider two values of the central magnetic field, $B_c = 7\times10^{17}$ Gauss, $9 \times 10^{17}$ Gauss, for a magnetized neutron star. Finally, we compare the theoretical predictions with the observed mass-radius and tidal deformability data of pulsars obtained from gravitational wave observations.
Comments15 pages, 12 figures article
