Treatment of resonance absorption in an infinite homogeneous mixture using Fourier transforms

In this paper the problem of resonance absorption in isolated Breit-Wigner resonances of an absorber in an infinite homogeneous mixture of the absorber and moderator with an explicit treatment of the moderator collision integral is treated. It is shown that Fourier transform techniques can profitably be used to treat this problem. The analysis also provides an analytical expression for the asymptotic flux distribution well below the resonance energy. Numerical results are presented to demonstrate the accuracy of the method. 24 refs