Modeling the registration efficiency of thermal neutrons by gadolinium foils

In the paper we present the results of mathematical modeling of the registration efficiency of thermal neutrons for the converters made of natural Gd and its 157 isotope plane-parallel foils. In the performed calculations four fixed energies of neutrons with the corresponding wavelengths of 1, 1.8, 3 and 4 $A^0$ are taken into account. We calculate the efficiencies of the converter for electron escapes to frontward and backward hemispheres and their sum, depending on thickness of converting foils. Results of comparison of our calculations with the experimental data are presented.Comment: 19 pages, 8 figure