  We explore the formation of mass-transferring binary systems containing black
holes within globular clusters. We show that it is possible to form
mass-transferring black hole binaries with main sequence, giant, and white
dwarf companions with a variety of orbital parameters in globular clusters
spanning a large range in present-day properties. All mass-transferring black
hole binaries found in our models at late times are dynamically created. The
black holes in these systems experienced a median of $\sim 30$ dynamical
encounters within the cluster before and after acquiring the donor.
Furthermore, we show that the presence of mass-transferring black hole systems
has little correlation with the total number of black holes within the cluster
at any time. This is because the net rate of formation of black hole-non-black
hole binaries in a cluster is largely independent of the total number of
retained black holes. Our results suggest that the detection of a
mass-transferring black hole binary in a globular cluster does not necessarily
indicate that the host cluster contains a large black hole population.

High Energy Astrophysical Phenomena