Abstract
Abstract The ratio of the average fission, capture and resonance scattering cross sections to the corresponding average cross sections obtained neglecting resonance-resonance interference have been calculated by a Monte Carlo method for a variety of interference conditions typical of fissile nuclei. It is shown in general that the average total cross section is unaffected by interference. The importance of interference increases with the number of open fission channels. The effective number of resonances with which a given resonance interferes is obtained for different numbers of open channels. Results for the cross-section ratios for both S- and P-wave neutrons have been obtained for the common fissile nuclei by fitting calculated cross sections to the average capture and fission cross sections over the neutron energy range from 0.3–100 keV. The ratios for S-wave neutrons at low energy (≈ 500 eV)are: 92 233 U: R fiss = 0.95±0.01, R capt = 1.23±0.03, R scatt = 1.45±0.10; 92 235 U: R fiss = 0.94±0.01, R capt = 1.11±0.01, R scatt = 1.10±0.01; 94 239 Pu: R fiss = 0.99±0.005, R capt = 1.00±0.002, and R scatt = 1.02±0.005. The process of cross-section fitting also yields values for the average resonance parameters for these nuclei. The effect of the (n,γf) process is presented.
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