  In the dense regions of star clusters, close encounters with black holes
(BHs) can occur giving rise to a new class of gravitational-wave (GW) signals.
Binary-single encounters between three BHs are expected to dominate the rate of
signals from unbound systems in the frequency band of terrestrial GW detectors.
The encounter can describe a quasi-hyperbolic trajectory, which was the focus
of a recent study. In some cases, the encounter can take a more complex form
including one or two BH mergers as a result of the encounter, repeating cycles
of close proximity between the BHs, and the exchange of a BH that is part of
the binary. The variety of types of encounters leads to a variety of GW signals
emerging from these encounters. Using the ARWV N-body code, we performed 42
numerical simulations, to explore various outcomes of binary-single
interaction, and we characterize the diverse GW signatures produced during
these encounters. Additionally, we evaluated the detectability of these GW
signals by injecting them into the simulated noise of the Einstein Telescope
and exploring different methods to detect the signals. Our findings shed light
on the complexities of these interactions and their potential implications for
GW astronomy.
