We consider the destructive effects of encounters between binaries and red
giant stars in the Galactic Centre. Such encounters may explain the observe
d depletion of luminous red giants within the central 0.2 pc of the galaxy.
We consider encounters involving 2- and 8-M-circle dot red giants, and thu
s span the range of stellar masses contributing to the most luminous red gi
ants observed in the Galactic Centre. To explore the phase space of encount
ers thoroughly, we simulate 18 x 10(3) encounters using a modified four-bod
y code in which the red giant core and components of the binary are treated
as point masses, and where the envelope configuration is assumed to remain
static throughout the encounter. We then rerun a small number of encounter
s with a smoothed particle hydrodynamics (SPH) code to confirm the reliabil
ity of conclusions drawn from the four-body runs. We see two possible pathw
ays to red giant destruction. A large fraction of encounters lead to the fo
rmation of common-envelope systems, where two compact objects (drawn from t
he red giant core and the components of the original binary) form a binary
within a common gaseous envelope, whilst the third body is ejected. The des
truction of the red giant will then follow when the envelope is ejected as
the binary hardens. In a smaller number of encounters, the intruding binary
passes through the star and ejects the red giant core from the envelope. T
he I ed giant envelope will then disperse on short timescales. We compute t
he time-scales for both of these processes to occur in the Galactic Centre
for a variety of binary populations.