The study of pulsed experiments in lattices in a one-group diffusion model

The decay of a neutron burst in pulsed experiments in lattices is computed in one-group diffusion with respect to the buckling, using a group theoretical theory based on a solid state-like formalism. A transport band structure is obtained and a generalized Nelkin's expansion for the neutron decay is computed for a square water-Beryllium lattices with respect to the radius of the central Beryllium rod. Moreover, the influence of the rod nuclear parameter in Nelkin's expansion is studied.