41.75.i Chargedparticle beams
 41.75.Ak Positiveion beams
 41.75.Cn Negativeion beams
 41.75.Fr Electron and positron beams
 41.75.Ht Relativistic electron and positron beams
 41.75.Jv Laserdriven acceleration (see also 52.38.r Laserplasma interactions in plasma physics)
 41.75.Lx Other advanced accelerator concepts
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Channeling process in a bent crystal
(1996)

Andrey V. Solov'yov
Andreas Schäfer
Walter Greiner
 We have investigated the channeling process of charged particles in a bent crystal. Invoking simple assumptions we derive a criterion, which determines whether channeling occurs or not. We obtain the same criterion using the Dirac equation. It is shown that the centrifugal force acting on the particle in the bent crystal significantly alters the effective transverse potential. The cases of axial and planar channeling are considered. The channeling probability and the dechanneling probability due to tunneling of the particle under the barrier in the effective transverse potential are estimated. These probabilities depend on the specific scaling parameter characterizing the process. Using the quasiclassical theory of synchrotron radiation we have calculated the contribution to the radiation spectrum, which arises due to the curvature of the channel. This contribution becomes significant to TeV electrons or positrons. Some practical consequences of our results are briefly discussed.