Abstract
A method is developed for determining the moments of the angular distribution of monoenergetic neutrons diffusing inside a homogeneous medium. It is applicable to the 'asymptotic' region, i.e., the region in which surface effects may be neglected. In particular, a general derivation is given for the current-density relation, involving no assumptions about the relative cross sections for scattering and capture. The second moment is expressed in terms of derivatives of the density, and the analogous procedure for higher moments is indicated. Moments of the angular distribution relative to arbitrary directions in space are defined: general formulae and applications to special cases are given for the second moment. Comparison may be made with the results of elementary diffusion theory, in which the angular distribution is assumed to be essentially linear.
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