Year
2023
File Attachment
finalpaper_242_0515044734.pdf308.54 KB
Abstract
In recent work we have developed a general one-speed transport theory model for the
calculation of the multiplicity moments, used in nuclear safeguards. Quantitative results
were obtained for spheres, cylinders of various shapes, and shells. In all these works,
similarly to the point model, the only neutron reaction was assumed to be fission. Since
the quantitative results for highly multiplicative systems were not in agreement with
recent experiments, we extended the model to include isotropic elastic scattering without energy loss of the neutrons. In the present work, we generalise the model further,
to include inelastic scattering, which requires the introduction of energy dependence
and anisotropic scattering. In the paper, the significance of the elastic scattering, as
well as the need for including inelastic scattering is demonstrated, and the extension to
energy dependent transport theory is described and illustrated with one example.