Observational limits on the rate of radiation-driven binary black hole capture events

Dense astrophysical environments like globular clusters and galactic nuclei can host hyperbolic encounters of black holes which lead to gravitational-wave driven capture. There are several models predict a fraction binary hole mergers come from these radiation-driven capture scenarios. In this paper we present the sensitivity search towards events for O3, third observing run LIGO Virgo. We use waveforms produced by numerical relativity simulations covering four different mass ratios at least two values initial angular momentum per ratio. employed most generic short-duration transients in O3 evaluate parameter space wide range total terms visible spacetime volume. From volume determine first time merger rate upper limit such systems. The stringent estimate limits 90\% confidence is $0.2~\mathrm{Gpc}^{-3}\,\mathrm{yr}^{-1}$ an equal $200~M_\odot$ binary. Furthermore, recent studies event GW190521 has been suggested be event. With interpretation GW190521, find similar $0.47~\mathrm{Gpc}^{-3}\,\mathrm{yr}^{-1}$.