  Strong dynamical interactions among stars and compact objects are expected in
a variety of astrophysical settings, such as star clusters and the disks of
active galactic nuclei. Via a suite of 3D hydrodynamics simulations using the
moving-mesh code AREPO, we investigate the formation of transient phenomena and
their properties in close encounters between an $2M_{\odot}$ or $20M_{\odot}$
equal-mass circular binary star and single $20M_{\odot}$ black hole (BH). Stars
can be disrupted by the BH during dynamical interactions, naturally producing
electromagnetic transient phenomena. Encounters with impact parameters smaller
than the semimajor axis of the initial binary frequently lead to a variety of
transients whose electromagnetic signatures are qualitatively different from
those of ordinary disruption events involving just two bodies. These include
the simultaneous or successive disruptions of both stars and one full
disruption of one star accompanied by successive partial disruptions of the
other star. On the other hand, when the impact parameter is larger than the
semimajor axis of the initial binary, the binary is either simply tidally
perturbed or dissociated into bound and unbound single stars ("micro-Hills"
mechanism). The dissociation of $20M_{\odot}$ binaries can produce a runaway
star and an active BH moving away from one another. Also, the binary
dissociation can either produce an interacting binary with the BH, or a
non-interacting, hard binary; both could be candidates of BH high- and low-mass
X-ray binaries. Hence our simulations especially confirm that strong encounters
can lead to the formation of the (generally difficult to form) BH low-mass
X-ray binaries.
