Assessment of flatflux and flatsource approximations in generating resonance cross sections
Abstract
The broad group cross sections of U238 were compared in the resolved resonance region using: (1) the flat source approximation, (2) the exact source distribution, and (3) the rational approximation with a Levine type factor. The main conclusion was that even though there were significant differences between the exactly calculated escape probabilities and those calculated with the flat source approximation, additional differences between the general energy dependent reciprocity and the energy independent (but often erroneously applied as energy dependent) reciprocity relation almost completely compensated for the error in the flat source escape probabilities. Due to this unusual and somewhat unexpected compensating effect, the effective capture cross sections of U238 in the resolved resonance region were essentially the same.
 Publication:

Final Report Georgia Inst. of Tech
 Pub Date:
 July 1975
 Bibcode:
 1975git..rept.....K
 Keywords:

 Approximation;
 Resonance Scattering;
 Scattering Cross Sections;
 Flux (Rate);
 Light Water Breeder Reactors;
 Liquid Metal Fast Breeder Reactors;
 Neutron Cross Sections;
 Transport Theory;
 Atomic and Molecular Physics