The eikonal approximation of the scattering theory for fast charged particles in a thin layer of crystalline and amorphous media

Abstract

On the basis of the eikonal approximation of quantum scattering theory, the problem of fast charged particle scattering in a thin crystal when particles fall along one of its planes of atoms and in a thin layer of an amorphous matter is considered. It is shown that the scattering cross section in this problem for parameters which are beyond the scope of application of the Born perturbation theory, differs significantly from the corresponding result of the Born approximation. In this case, the scattering in the transverse to the plane direction is determined mainly by a continuous plane potential which is widely used in the channeling theory. The scattering of a particle in the longitudinal direction has features of scattering in a two-dimensional amorphous medium with the inhomogeneous density of atoms. The concept of a continuous potential of the crystal plane of atoms in the suggested approach appears automatically.