Investigation of classical radiation reaction with aligned crystals

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

Analytical infrared limit of nonlinear Thomson scattering including radiation reaction

“…Instead, the equivalence between the LL equation and the Ford-O'Connell equation, where the reduction of order is carried out in a different but classically equivalent way as for the LL equation, has been confirmed numerically in [10]. Presently the LL equation and in general the problem of radiation reaction are under active investigation both theoreti-cally [11,12,13,14,15,16,17,18,19,20,21,22,23,24] and experimentally [25,26,27] (see the recent reviews [28,29,30] for previous publications).…”

Properties of an ultrarelativistic charged particle radiation in a constant homogeneous crossed electromagnetic field

“…This idea was employed, for example, in a recent proposal [16]. Notice that the numerical simulations of electron's dynamics and its radiation in a strong laser wave and in crystals with radiation reaction taken into account already present in the literature (see, e.g., [13][14][15][17][18][19][20][21][22][23]). However, the problem of radiation of electrons in a crossed field has somehow escaped the scope of these papers.…”

Foundations of the self-force problem in arbitrary dimensions

“…This has led to a number of theoretical and computational advances which considerably improve our understanding of classical self-interaction, in both the gravitational and electromagnetic contexts [11][12][13][14]. Separately, new aspects of the electromagnetic self-force are beginning to be accessible to investigation via high-power laser experiments [15,16].…”