Radiation Reaction of Betatron Oscillation in Plasma Wakefield Accelerators

TL;DR

This paper presents a classical model for radiation reaction effects on betatron oscillations in plasma wakefield accelerators, analyzing energy limits and damping effects, with implications for future plasma-based accelerators.

Contribution

It introduces a new classical model for radiation reaction in betatron oscillations, including quantum effects, with theoretical and numerical validation.

Findings

Maximum electron energy due to radiation reaction identified

Betatron oscillation damping analyzed under different radiation regimes

Good agreement between theoretical and numerical results

Abstract

A classical model of radiation reaction for the betatron oscillation of an electron in a plasma wakefield accelerator is presented. The maximum energy of the electron due to the longitudinal radiation reaction is found, and the betatron oscillation damping due to both the longitudinal and transverse radiation reaction effects is analyzed. Both theoretical and numerical solutions are shown with good agreements. The regime that the quantum radiation takes effect is also discussed. This model is important for designing future plasma based super accelerators or colliders.