Computation of slow neutron differential scattering cross sections by time integration

Abstract

A method of computing slow neutron bound atom differential scattering cross sections is proposed which involves integration of the van Hove formula into which a cut-off factor has been inserted under the integral sign. This procedure leads to an averaging of the cross sections over a certain energy interval and, in turn, it can be used in the comparison of theoretical with experimental data. The method enables one to calculate differential cross sections for liquids using the model previously proposed by the author. Computations for water and for ice close to its melting point reveal the presence of a sudden jump in the total cross section during the transition from ice to water, in agreement with the experimental data of Heinloth.