The cross section for inclusive prompt photon production with polarize
d hadron beams is calculated at order alpha alpha(s)(2) using the phas
e-space slicing or analytic/Monte Carlo method. Isolation cuts are pla
ced on the photon and the results are compared to a previous fully ana
lytic calculation. Numerical results for the isolated cross section ar
e presented for (p) over right arrow (p) over right arrow --> gamma X at RHIC centre-of-mass energies with plausible isolation parameters
using the most modem polarized parton densities evolved in next-to-lea
ding order QCD. The perturbative stability of the asymmetries and scal
e dependence of the results are briefly discussed. (C) 1997 Elsevier S
cience B.V.