  A calculation of deuteron Compton scattering using non-relativistic
diagrammatic perturbation theory is presented, with the primary motivation of
investigating the feasibility of determining the neutron polarizabilities from
this type of experiment. This calculation is expected to be valid for energies
below 100 MeV. Previous theoretical and experimental estimates for the
polarizabilities are given. All diagrams are calculated by expanding the photon
wavefunctions into partial waves and using realistic deuteron wavefunctions.
The Green's function for the intermediate state in the dispersive states is
determined numerically. Pion-exchange, relativistic, and recoil corrections are
also included. The low-energy theorem is shown to be satisfied. The relative
effects of the different terms as well as their effects on the determinations
of the polarizabilities are discussed at energies of 49, 69, and 95 MeV. The
cross-section is dominated by the seagull, polarizability, and electromagnetic
multipole interactions. Relativistic and pion-exchange terms are also
important, while recoil corrections and multipoles of L=2 and greater are
negligible. The calculation provides a reasonable description of the
experimental data points at 49 and 69 MeV, except for the point at the greatest
angle. The polarizabilities are difficult to determine at these energies due to
the size of the experimental error bars. No data has been published at 95 MeV
but a more accurate determination of the polarizabilities is likely at this
higher energy. Detailed calculations for all terms can be found in the
appendices.
