Accession Number : AD0610576

Title :   ON TRANSIENT PHENOMENA IN THERMALIZATION,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Leonard,Anthony

Report Date : JAN 1965

Pagination or Media Count : 8

Abstract : A challenge is offered to the proof given in a recent paper of the theorem that all the spatial decay constants vanish for a sufficiently large concentration of absorber in thermal neutron experiments. It is shown here that for a large class of scattering models (viz., those in which the total cross section, S(v), tends to a constant as v approaches infinity) the proof given is not valid; and, in fact, if the approach of S(v) to a constant is fast enough, the theorem is shown to be false.

Descriptors :   (*THERMAL NEUTRONS, NEUTRON TRANSPORT THEORY), (*NEUTRON TRANSPORT THEORY, THERMAL NEUTRONS), NEUTRON SCATTERING, NEUTRON ABSORPTION, NEUTRON CROSS SECTIONS, MATHEMATICAL MODELS, MATHEMATICAL ANALYSIS, INTEGRAL EQUATIONS, THEORY, FAST NEUTRONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE