Numerical simulation of the total scattering cross sections of very cold neutrons by the infinite solid circular cylinder

This work continues to develop the techniques of definition the parameters of carbon nanotubes by means of very cold neutrons ( VCN ). In the work are given the total cross sections for elastic scattering of VCN by the infinite solid circular cylinder, which is used as a model of the nanotube. They were calculated on the base on the construction of the exact solutions of the scalar Schrödinger equation by separation of variables. We compared the values of the total elastic scattering cross sections calculated on the basis of a rigorous theory, and the values of these quantities, calculated in the first Born approximation. The results of comparison are presented in the form of graphs, which are constructed for the different values of the nanotube radius R = 25, 50, 70 and 90 nm