Radiation reaction-dominated regime of wakefield acceleration

We study electron acceleration in a plasma wakefield under the influence of radiation-reaction force caused by transverse betatron oscillations wakefield. Both classical and strong quantum-electrodynamic (QED) limits radiation reaction are considered. For constant accelerating force, we show that amplitude QED parameter $\chi$ radiation-dominated regime reaches equilibrium value determined only magnitude field, while averaged over saturates at smaller than thus is incapable preventing infinite acceleration. find parameters bunch accelerator for which reaching such possible. also effects dephasing corresponding change course conclude realized both cases single-stage with slow (usually to bunch-driven accelerators) multi-stage fast (corresponding use laser-driven accelerators).