Invariant Imbedding and Neutron Transport Theory. III. Neutron-Neutron Collision Processes

摘要

The effects on criticality of neutron-neutron collisions involving annihilation are investigated for one-dimensional, single and multi-group cases. The analytic treatment shows that regardless of the magnitude of the cross section for collision between moving neutrons, there is no critical length (mass). The analogy between this situation and that in hydrodynamics, where the addition of an arbitrarily small viscosity term eliminates the discontinuous shock phenomenon, is indicated. As in earlier papers, the underlying equations are derived using the principle of invariant imbedding. (Author)