Simulation of Ultra-Relativistic Electrons and Positrons Channeling in Crystals with MBN Explorer

TL;DR

This paper introduces a new simulation code within the MBN Explorer package for modeling ultra-relativistic electron and positron trajectories in crystals, accounting for atomic interactions and thermal vibrations, validated against experimental data.

Contribution

The paper presents a novel computational tool for simulating relativistic particle channeling in crystals, incorporating stochastic elements and thermal vibrations, with validation against experimental results.

Findings

Simulated radiation spectra match experimental data.

Code accurately models particle trajectories in crystalline media.

Validation confirms reliability of the simulation approach.

Abstract

A newly developed code, implemented as a part of the \MBNExplorer package \cite{MBN_ExplorerPaper,MBN_ExplorerSite} to simulate trajectories of an ultra-relativistic projectile in a crystalline medium, is presented. The motion of a projectile is treated classically by integrating the relativistic equations of motion with account for the interaction between the projectile and crystal atoms. The probabilistic element is introduced by a random choice of transverse coordinates and velocities of the projectile at the crystal entrance as well as by accounting for the random positions of the atoms due to thermal vibrations. The simulated trajectories are used for numerical analysis of the emitted radiation. Initial approbation and verification of the code have been carried out by simulating the trajectories and calculating the radiation emitted by $\E=6.7$ GeV and $\E=855$ MeV electrons and positrons in oriented Si(110) crystal and in amorphous silicon. The calculated spectra are compared with the experimental data and with predictions of the Bethe-Heitler theory for the amorphous environment.