Khudyntsev M. Scattering of Radiation on Multicentred Potentials. Solvable Models

The dissertation is devoted to studies of several exactly solvable models for the scattering of radiation on multicentred potentials that can be modeled with the help of short and long-range contributions. The exactly solvable model of elastic low-energy charged particle isotropic scattering on multicentered systems is performed with the help of superposition of Coulomb and point-like potentials. Effective parameterisation of experimental data for elastic low-energy proton-deutreon scattering has been conducted. A study of the model for scattering from binary mixture distributed on one-dimensional lattice with the chemical reactions of polymerization has been undertaken. The distribution functions of the number of particles and the relevant structure factors of scattering from such a system have been found. Key words: theory of scattering, multicentred potential, many-particle systems, low-dimensional lattices, chemical reactions, structure factor, diffraction.