超大质量黑洞（supermassive black hole）周围盘中相互作用的恒星质量黑洞（stellar-mass black hole）的轨道迁移。III. 分级并合的质量分布（mass distribution）

本文研究了活动星系核（active galactic nucleus）盘中恒星质量黑洞的分级并合过程。通过N体模拟，分析了迁移陷阱附近的黑洞质量函数（mass function），并探讨了其对激光干涉引力波观测台（LIGO）、室女座（Virgo）和神冈引力波探测器（KAGRA）观测结果的影响。

arXiv:2608.13641v1 Announce Type: new Abstract: Active galactic nucleus (AGN) disks are a promising location for the formation of binary black holes (BBHs) that will merge on relatively short timescales and be detected by LIGO-Virgo-KAGRA (LVK). To compare the mass function (MF) of black holes (BHs) undergoing hierarchical mergers in AGN disks to the inferred MFs from LVK observations, we perform 360 simulations with an N-body code augmented to include an analytic model for migration torques and other gas forces. We focus on the region surrounding migration traps in AGN disks where migration torques cancel out and BHs converge. We find that regardless of changes in the initial MF and BBH merger criteria, frequent mergers deplete the number of BHs with masses $\lesssim 10$~$M_\odot$ and fill the upper mass gap with a roughly uniform distribution from 40--100~$M_\odot$, with a slight overabundance around ${\approx}70~M_\odot$ from resonant orbiters. We also find an average merger rate of $\sim 6$~Gpc$^{-3}$~yr$^{-1}$ for migration-trap-aided BBH mergers in our AGN disk model. $\sim 40\%$ of these mergers have uneven mass ratios and 16\% have a primary mass $\in[50-100]~M_\odot$. Therefore, AGN disks could easily be the source of BBH mergers observed by LVK that are difficult to produce through