Abstract
In calculating resonance absorption for one resonance, the effect of neighbouring resonances is usually neglected. It is, therefore, customary to assume that the slowing-down flux takes its asymptotic value above the resonant energy and becomes independent of both lethargy and space. However, when the resonances are not widely separated, a resonance may lie in the region of energy oscillation due to other high-energy resonances. In this region the flux may depend on both lethargy and space. In the present paper a method has been developed for estimating this error. In this calculation the higher energy resonance has been replaced by a delta function sink, and the age-diffusion equation with modified source term has been solved to obtain the lethargy and space-dependent flux. The resonance integrals have then been calculated in the presence and in the absence of the higher energy resonance in an effort to estimate the importance of this effect. Various calculations of the effect of resonance interference have ignored spatial effects, but these may be important, particularly for tightly packed lattices.
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