Channeling Radiation of Positrons with Energy in the Region of 100 GeV in Single Crystals

TL;DR

This paper investigates the radiation emitted by 120 GeV positrons channeling through a single crystal, deriving their trajectories and radiation intensity, which aids in understanding high-energy positron interactions in crystalline structures.

Contribution

It presents a theoretical analysis of positron channeling radiation at energies around 100 GeV, including nonlinear oscillation trajectories and radiation intensity calculations.

Findings

Derived positron trajectories using nonlinear oscillation theory.

Calculated radiation intensity for various initial conditions.

Results are useful for experimental comparisons at high energies.

Abstract

The process of radiation of 120-GeV positrons moving in a channeling regime in (011) plane of a single crystal was considered. At the beginning on the basis of the theory of nonlinear oscillations the trajectory of moving positrons at different initial conditions were derived. Then taking into account the nonlinearity of motion the distribution function over oscillation amplitudes of channeling particles was found. After this the intensity of radiation at different initial conditions was calculated with the help of two various methods. These results may be useful for comparison with experimental data at positron energies from 100 and more GeV.