The aim of this study is to evaluate the albedo effect on the neutron
transmission probability through slab shields. For this reason we have
considered an infinite homogeneous slab having a fixed thickness equa
l to 20 lambda (lambda is the mean free path of the neutron in the sla
b). This slab is characterized by the factor P-s (scattering probabili
ty) and contains a vacuum channel which is formed by two horizontal pa
rts and an inclined one (David, M. C. (1962) Duc and voids in shields.
In Reactor Handbook, Vol. III, Part B, p. 166). The thickness of the
vacuum channel is taken equal to 2 lambda. An infinite plane source of
neutrons is placed on the first face of the slab (left face) and dete
ctors, having windows equal to 2 lambda, are placed on the second face
of the slab (right face). Neutron histories are sampled by the Monte
Carlo method (Booth, T. E. and Hendricks, J. S. (1994) Nuclear Technol
ogy 5) using exponential biasing in order to increase the Monte Carlo
calculation efficiency (Levitt, L. B. (1968) Nuclear Science and Engin
eering 31, 500-504; Jehouani, A., Ghassoun, J. and Abouker, A. (1994)
In Proceedings of the 6th International Symposium on Radiation Physics
, Rabat, Morocco) and we have applied the statistical weight method wh
ich supposes that the neutron is born at the source with a unit statis
tical weight and after each collision this weight is corrected. For di
fferent values of the scattering probability and for different slopes
of the inclined part of the channel we have calculated the neutron tra
nsmission probability for different positions of the detectors versus
the albedo at the vacuum channel-medium interface. Some analytical rep
resentations are also presented for these transmission probabilities.
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