  Cross sections for elastic Compton scattering from the deuteron were measured
over the laboratory angles 35-150 deg. Tagged photons in the laboratory energy
range 84-105 MeV were scattered from liquid deuterium and detected in the
large-volume Boston University NaI (BUNI) spectrometer. Using the calculations
of Levchuk and L'vov, along with the measured differential cross sections, the
isospin-averaged nucleon polarizabilities in the deuteron were estimated. A
best-fit value of (alpha-beta) = 2.6+/-1.8 was determined, constrained by
dispersion sum rules. This is markedly different from the accepted value for
the proton of (alpha-beta) = 10.0+/-1.5+/-0.9.
