Obtaining data on fast neutron energy spectrum by a method of differential cross-sections in recording recoil nuclei

A mathematical approach to processing the equipment spectrum of the detector is offered which is based on the detection of neutron radiation by a method of recoil nuclei. The basis of the approach is the principle of a probabilistic energy distribution of nuclear recoil. This makes it possible to determine the contribution of neutrons of different energies and, also, to evaluate the contribution of every reaction to the equipment spectrum. The mathematical approach is shown in terms of neutron-carbon nuclei interaction. The equipment spectra are calculated for different energies of neutrons and from this the energy spectra of neutrons are obtained. The given approach significantly enhances the potential of the detection of neutrons of any recoil nuclei and makes possible, within the size of the differential cross-section data base, the linear spectrum of neutron radiation to be sorted out.