RESONANCE ABSORPTION OF NEUTRONS IN NUCLEAR REACTORS. (thesis)

TL;DRAbstract

7 5 : of resonance absorption of neutrons in nuclear reactors is considered. Formulas for the effective resonance integral of single resonances are given in the "narrow resonance" approximation in homogeneous media and in the "narrow resonance" and "infinite mass absorber" approximation in heterogeneous media. It is shown that the Doppler effect in homogeneous media can be expressed through a certain function of two variables, J( xi , beta ). The properties of this function are studied in detail, and a tabulation given. The effect of interference between resonance and potential scattering on the effective resonance integral is studied. In heterogeneous media in the "narrow resonance" case it is shown that the Doppler effect can again be expressed through the same function, J( xi , beta ), as in the homogeneous case if a rational approximation for the average escape probabilities due to Wigner is introduced. Furthermore, it is shown that then a formal identity exists between the homogen

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