发表机构
College of Physics and Electronic Information Engineering, Guilin University of Technology（桂林理工大学物理与电子信息工程学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究偏心EMRI波形中暗物质晕与吸积盘的相位简并，用特定模型建模并通过相关诊断量化可区分性，结果表明DM与盘引起的相位变化对偏心率依赖不同，波形差异可被LISA探测，偏心率可作辅助诊断。
AI 中文摘要
极端质量比旋近（EMRIs）是大质量黑洞周围微弱环境效应的灵敏探测器，因为这些效应会累积为可观测的引力波相移。在这项工作中，我们研究了偏心EMRI波形中暗物质晕和吸积盘之间的相位简并。我们用NFW和Beta晕轮廓对暗物质（DM）环境进行建模，并用薄α盘模型描述吸积盘。通过与偏心率相关的相位诊断和LISA频段中的残余信噪比来量化它们的可区分性。我们的结果表明，DM引起的相位变化仅微弱依赖于初始偏心率$e_0$，而盘引起的相位变化随着$e_0$增加而强烈抑制。对于圆形轨道，可区分时间最长，对于轻微偏心轨道则迅速减小。对于这里考虑的基准系统，DM - 盘波形差异可被LISA探测到，并且$e_0$除了观测持续时间外还可作为辅助诊断。
英文摘要
Extreme mass-ratio inspirals (EMRIs) are sensitive probes of weak environmental effects around massive black holes, since such effects can accumulate into observable gravitational-wave phase shifts. In this work, we study the phase degeneracy between dark matter halos and accretion disks in eccentric EMRI waveforms. We model the dark matter (DM) environment with NFW and Beta halo profiles, and describe the disk using a thin $α$-disk model. Their distinguishability is quantified through eccentricity-dependent phase diagnostics and the residual signal-to-noise ratio (SNR) in the LISA band. Our results show that DM-induced dephasing depends only weakly on the initial eccentricity $e_0$, whereas disk-induced dephasing is strongly suppressed as $e_0$ increases. The distinguishability time exhibits a smooth and weakly non-monotonic dependence on the initial eccentricity, while being more strongly controlled by the environmental strength. For the benchmark systems considered here, the DM--disk waveform difference can be detectable by LISA, and $e_0$ can serve as an auxiliary diagnostic in addition to the observation duration.
Comments31 pages, 6 figures
