Inferring Host Environment Properties and Gravitational-wave Decay Time from the Eccentricity Measurement of Dynamically Captured Binaries
从动力学俘获双星的偏心率测量推断宿主环境性质与引力波衰减时间
Dynamical capture in dense stellar environments is a promising channel for producing eccentric compact binary mergers. Although there have been no confident detections of eccentric mergers to date, a few candidates show indications of nonnegligible in-band eccentricity upon reanalysis of the data. By assuming an observed eccentric event originates from a dynamical gravitational-wave (GW) capture, we show that it is possible to identify the host environment using the eccentricity and mass posteriors. In particular, the eccentricity posterior can be mapped to posteriors on key capture parameters, such as the relative velocity at infinity and the impact parameter. By comparing these with the expected velocity distributions of different astrophysical environments, we can place constraints on the likely host. Assuming that it originated from a GW capture, we applied this framework to the neutron star─black hole merger GW200105. By comparing with the velocity dispersion distributions of neutron stars in the cores of globular clusters (GCs) and nuclear star clusters (NSCs), we find the probability that GW200105 merged in a GC (NSC) to be ∼29% (71%). As we anticipate detecting several eccentric mergers in the future, this method can provide a valuable astrophysical diagnostic of their host environments on a single-event basis; this can be straightforwardly generalized to a population of eccentric binaries. The formalism we develop is also applied to GW190521, but is less constraining for that event. Lastly, we infer a GW decay time from capture to merger of 11─156 days for GW200105.
展开 ▾首次将单事件偏心率后验映射到俘获速度与碰撞参数,进一步区分球状星团和核星团;对 GW200105 得到核星团概率约 71%,并给出俘获到并合仅 11–156 天。
偏心并合通常被认为是动力学形成的有力证据,但同一事件(如 GW190521)在不同偏心波形模型下后验差异很大(Romero-Shaw+ 2020;Gayathri+ 2020),长期限制了对宿主环境的推断。近期 Gupte+ 2026 从 O4a 群体偏心率上限约束单-单俘获,并认为核星团难以解释全部 BBH;本文则转向单事件路径,将 O'Leary+ 2009 的俘获几何关系与 Tucker & Will 2021 的后牛顿偏心率演化结合,建立由 e_f 到 v∞、b 的层级贝叶斯反演。应用于 GW200105 时,采用 Kacanja+ 2025 与 Morras+ 2025b 的偏心后验,发现核星团概率约 71%、球状星团约 29%,并给出俘获至并合约 11–156 天;对 GW190521 的约束较弱。展望未来,随着高信噪比偏心事件增多,这类单事件诊断可推广至群体,并可用于区分球状星团、核星团与层级三体等形成通道,但需在波形中纳入自旋、更高阶后牛顿修正并统一偏心率定义。
预印本 2026-05-12 · 接收 2026-07-05 · 刊出 2026-07-27 · 收录 2026-08-20