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Abstract

Classical radiation reaction is the effect of the electromagnetic field emitted by an accelerated electric charge on the motion of the charge itself. The self-consistent underlying classical equation of motion including radiation-reaction effects, the Landau-Lifshitz equation, has never been tested experimentally, in spite of the first theoretical treatments of radiation reaction having been developed more than a century ago. Here we show that classical radiation reaction effects, in particular those due to the near electromagnetic field, as predicted by the Landau-Lifshitz equation, can be measured using presently available facilities, in the energy emission spectrum of $10$-$\text{GeV}$ electrons crossing a $0.5$-$\text{mm}$ thick diamond crystal in the axial channeling regime. Our theoretical results demonstrate the feasibility of the suggested setup, e.g., at the CERN Secondary Beam Areas (SBA) beamlines.