The Asymptotic Angular-Dependent Leakage Spectrum of Thermal Neutrons

The application of the variational method in velocity-dependent transport theory is described for the case of a pulsed infinite slab. The extrapolated end point and the buckling as functions of the slab thickness are calculated from a given transcendental equation. The expression for the angular and energy distribution of leakage neutrons has been improved by one iteration of the integral transport equation. The results are discussed for three different scattering models: monatomic gas, Nelkin-Goldman water and the Haywood-Thorson model.