Incoherent ultrarelativistic particle scattering by nuclei at planar channeling

Abstract

The problem of high-energy charged particle motion in the field of atomic planes of oriented crystals, essential for particle beam manipulation, intensive gamma-radiation generation and prepared measurements of short-living elementary particle properties, such as magnetic and electric dipole momenta, is considered. A rigorously evaluated instant change of transverse channeling motion energy under the scattering by an atomic core is applied to deduce an expression for the average transverse energy growth rate, which takes into consideration both the quantum effects and sharp particle density variation inside an inter-plane channel. The latter makes it possible for the first time to describe numerically the key limitations of multiple applications of the channeling effects in high-energy physics, not involving the parameters, introduces earlier through the arbitrary qualitative considerations. Also, the expressions of both the large angle scattering cross section and average square of small scattering angles are obtained, making possible to formulate a consistent simulation method of both positively and negatively charged particles propagation both in and out of the channeling conditions, taking into consideration both quantum nature of incoherent and classical one of the coherent scattering of ultra-relativistic particles by crystal plane atoms.