During its yearlong outburst in 1975--76, the transient source A0620--00
reached an intensity of 50 Crab, an all-time record for any X-ray binary. The
source has been quiescent since. We recently determined accurate values for the
black hole mass, orbital inclination angle and distance. Building on these
results, we have measured the radius of the inner edge of the accretion disk
around the black hole primary by fitting its thermal continuum spectrum to our
version of the relativistic Novikov-Thorne thin-disk model. We have thereby
estimated the spin of the black hole. Although our spin estimate depends on a
single high quality spectrum, which was obtained in 1975 by OSO-8, we are
confident of our result because of the consistent values of the inner-disk
radius that we have obtained for hundreds of observations of other sources:
H1743-322, XTE J1550-564, and notably LMC X-3. We have determined the
dimensionless spin parameter of the black hole to be a*=0.12+/-0.19, with
a*-0.59 at the 3 sigma level of confidence. This result takes into
account all sources of observational and model-parameter uncertainties. Despite
the low spin, the intensity and properties of the radio counterpart, both in
outburst and quiescence, attest to the presence of a strong jet. If jets are
driven by black hole spin, then current models indicate that jet power should
be a steeply increasing function of a*. Consequently, the low spin of A0620--00
suggests that its jet may be disk-driven.Comment: 14 pages, 3 figures, ApJL in pres