On the rate of black hole binary mergers in galactic nuclei due to dynamical hardening

摘要: We assess the contribution of dynamical hardening by direct three-body scattering interactions to rate stellar-mass black hole binary (BHB) mergers in galactic nuclei. derive an analytic model for single-binary encounter a nucleus with spherical and disk components hosting super-massive (SMBH). determine total number encounters $N_{\rm GW}$ needed harden BHB point that inspiral due gravitational wave emission occurs before next event. This is done independently both components. Using Monte Carlo approach, we refine our calculations include between events. For astrophysically plausible models find typically GW} \lesssim$ 10. We two separate regimes efficient BHBs: (1) star clusters high central densities, low velocity dispersions no significant Keplerian component; (2) migration traps disks around SMBHs lacking any stellar component vicinity trap, which expected effective orbital inclination reduction population disk. also weak correlation ratio second-order moment dispersion nuclei mergers, where this proxy rotation- dispersion-supported Because enforce planar are BHBs, particularly traps, they have merger rates can contribute significantly detected advanced Laser Interferometer Gravitational-Wave Observatory.