  We have measured the distributions of protons and deuterons produced in high
energy heavy ion Au+Au collisions at RHIC over a very wide range of transverse
and longitudinal momentum. Near mid-rapidity we have also measured the
distribution of anti-protons and anti-deuterons. We present our results in the
context of coalescence models. In particular we extract the "volume of
homogeneity" and the average phase-space density for protons and anti-protons.
Near central rapidity the coalescence parameter $B_2(p_T)$ and the space
averaged phase-space density $<f> (p_T)$ are very similar for both protons and
anti-protons. For protons we see little variation of either $B_2(p_T)$ or the
space averaged phase-space density as the rapidity increases from 0 to 3.
However both these quantities depend strongly on $p_T$ at all rapidities. These
results are in contrast to lower energy data where the proton and anti-proton
phase-space densities are different at $y$=0 and both $B_2$ and $f$ depend
strongly on rapidity.

Nuclear Experiment