并非所有共振都生而平等：在极端质量比旋近（EMRI）中优先考虑潮汐共振
Not All Resonances Are Created Equal: Prioritizing Tidal Resonances in EMRIs
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中文总结 AI 辅助
本研究针对EMRI的潮汐共振，计算了共振轮廓、持续时间与跳变振幅，构建了共振重要性排序，相关数据公开，为引力波波形建模提供了实用依据。
中文摘要 AI 辅助
来自附近致密天体的潮汐摄动可在极端质量比旋近（EMRI）中驱动共振“踢”，在LISA波段引力波波形中留下潜在可探测的相位偏移。我们在弱潮汐、三体层级框架下，对EMRI参数空间中的这类潮汐共振开展系统研究，将摄动体视为在共振时标下静止的天体。对于一般的克尔轨道，我们计算了：（i）$(p,e,x)$空间中的共振轮廓，用于定位每个$(n,k,m)$共振的出现位置；（ii）对应的共振持续时间；（iii）角动量$L_z$和卡特常数$Q$的跳变振幅（在静止模型中，由于时间平移对称性，$\triangle E$消失）。结合跳变振幅与共振持续时间，我们构建了对波形建模最具相关性的共振的实用排序，同时强调即使是中等强度的共振，也可能通过影响后续共振进入时的相位而仍具重要性。所有轮廓与跳变数据均公开可用。
英文摘要
Tidal perturbations from nearby compact objects can drive resonant "kicks" in extreme-mass-ratio inspirals (EMRIs), imprinting potentially detectable phase shifts in LISA-band gravitational waveforms. We provide a systematic survey of these tidal resonances across EMRI parameter space in the weak-tide, three-body hierarchy, treating the perturber as stationary on the resonance timescale. For generic Kerr orbits we compute (i) resonance contours in $(p,e,x)$ that locate where each $(n,k,m)$ resonance is encountered, (ii) the associated resonance duration, and (iii) the jump amplitudes in the angular momentum $L_z$ and the Carter constant $Q$ (with $ΔE$ vanishing by time-translation symmetry in the stationary model). Combining jump amplitudes with resonance durations, we construct a practical ranking of the resonances most relevant for waveform modeling, while emphasizing that even modest resonances may still be important through their influence on the phase at which subsequent resonances are entered. All contour and jump data are publicly available.
发表机构
- Institute for Mathematics, Astrophysics and Particle Physics, Radboud University（拉德堡德大学数学、天体物理与粒子物理研究所）
- Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology（代尔夫特理工大学电气、数学与计算机科学学院）
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