# The Distribution of Thermal Neutron Cross Sections

## Yuri V. Petrov and Alexander I. Shlyakhter

*Nuclear Science and Engineering*, **77**: 157-167, 1981

## Abstract

An estimate of the cross sections of nuclear reactions with thermal neutrons in terms
of the average parameters of the target nucleus (the strength function, the average level
spacing, and the average reaction width) is obtained. The probability distributions for
the ratios of actual thermal neutron cross sections to their estimated values are introduced.
These functions can be calculated from the statistical model. They are calculated for
neutron radiative capture and for inelastic neutron acceleration by the isomeric nuclei
(as weell as the (n,α) reaction, etc.). Using these results, one can predict the probability
of finding the actual thermal neutron cross section in a given interval.

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