Abstract
The problem of the slowing down of neutrons in an infinite homogeneous medium with strong resonance absorption and uniformly distributed neutron sources is investigated in this paper. The solution of the adjoint equation represents the probability that a neutron of energy E escapes resonance absorption during the process of slowing down to a certain asymptotic energy. The solution of the main and the adjoint problems makes it possible for us to apply a perturbation method to take into account the influence on the resonance integral of the Doppler broadening of the resonance level. The methods developed have been applied to the calculation of the collision density and the resonance integrals for the first level of U238 (E0 = 6.7 ev) in pure uranium and in uranium oxide UO2.
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