  This work extends our previous studies of two-photon annihilation into
baryon-antibaryon pairs from spin-1/2 octet to spin-3/2 decuplet baryons. Our
approach is based on perturbative QCD and treats baryons as quark-diquark
systems. Using the same model parameters as in our previous work, supplemented
by QCD sum-rule results for decuplet baryon wave functions, we are able to give
absolute predictions for decuplet baryon cross sections without introducing new
parameters. We find that the $\Delta^{++}$ cross section is of the same order
of magnitude as the proton cross section, well within experimental bounds.
