Analysis of Pulsed-Neutron Experiments in Moderators via a Simple Model

In this paper we analyze the decay of a neutron pulse in small nonmultiplying systems, through the use of a simple model for the moderator. The model, a modified one-term degenerate kernel, enables us to include crystal-effects, and, at the same time, to reduce Boltzmann's equation to quadratures. We discuss the structure of the continuum contribution, and the analytic continuation of the functions λ_k(B²) Our analysis should elucidate some of the puzzling aspects of pulsed-neutron experiments in crystalline moderators, and the multigroup calculations which accompany them.