Effective Source Strength for Arbitrarily Anisotropic Neutron Scattering in Infinite Medium

Monoenergetic neutron transport without multiplication is considered in an infinite homogeneous medium with an arbitrarily anisotropic scattering law. Defining the effective source strength as the parameter β which appears in the asymptotic total flux due to an isotropic plane source of unit strength localized at x = 0, γ_o being the inverse diffusion length and a the ratio of absorption to total macroscopic cross sections, we have shown that in the series expansion of β in powers of the absorption parameter a, the coefficients β_m depend only on the first m + 1 Legendre moments of the scattering probability.