Relativistic particle incoherent scattering by the nuclei of crystal plane atoms

Abstract

A consistent theory, which describes the incoherent scattering of classically moving relativistic particles by the nuclei of crystal planes without any phenomenological parameter is presented. The basic notions of quantum mechanics are applied to introduce a fundamental compact formula for the mean square incoherent scattering angle per unit length of particle trajectory. The latter is used to implement the effects of the crystal atom distribution inhomogeneity into the Coulomb scattering simulations without noticeable elongation of the simulation time. The theory essentially reconsiders the nature of positively charged particle dechanneling from the low nuclear density regions, being essential in both the crystal undulators and envisaged measurements of the specific electromagnetic momenta of short living particles.

28 pages, 5 figures

References in corpus (4)

• Novel method for the direct measurement of the tau lepton dipole moments
• Multiple Volume Reflection from Different Planes Inside One Bent Crystal
• A Benchmark Construction of Positron Crystal Undulator
• Quantum versus classical approach of dechanneling and incoherent electromagnetic processes in aligned crystals