Compton scattering on the deuteron is studied in the framework of baryon
chiral perturbation theory to third order in small momenta, for photon energies
of order the pion mass. The scattering amplitude is a sum of one- and
two-nucleon mechanisms with no undetermined parameters. Our results are in good
agreement with existing experimental data, and a prediction is made for
higher-energy data being analyzed at SAL.Comment: 39 pages LaTeX, 19 figures (uses epsf
