Channeling Phenomenon

Biryukov, V.M.; Chesnokov, Yuri A.; Kotov, V.I.

doi:10.1007/978-3-662-03407-1_1

Cited by 8 publications

(40 citation statements)

References 0 publications

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“…According to the Lindhard averaged potential concept [1,5,8,9], particle motion at small angles with respect to crystal planes is described by the averaged atomic potential V (x) (potential energy, see Fig. 1) which translation symmetry justifies the introduction of the conserving energy of transverse motion 1…”

Section: New Features Of the Diffusion Equation In Transverse Phase Smentioning

confidence: 99%

“…(2) To describe the cumulative result of such changes, Fokker-Planck approximation [1,5,17,18], which, is able to treat small transverse energy changes only [10,5,18], is widely applied. Following the well established procedure [17] and using the notations of [18], one can introduce a distribution function in the one dimensional transverse phase space…”

Section: New Features Of the Diffusion Equation In Transverse Phase Smentioning

confidence: 99%

“…Both electron and positron channeling makes it possible to devise the new semi-monochromatic sources of xand γ-radiation [1,2,3]. Proton and ion planar channeling in bent crystals is a promising tool for both extraction and collimation of the beams of the Large hadron collider (LHC) and Future circular collider (FCC) [4,5,6]. Planar channeling of charmed and beauty baryons in bent crystals also makes it possible to study the effects of both CPand CPT violation [7].…”

Section: Introductionmentioning

confidence: 99%

“…First of all, since the channeling angle decreases with energy becoming much less than θ max = m/M , the modification [13,5] of the theory [10] for the ultrarelativistic case does not take into consideration adequately the particle scattering by crystal atom electrons. Also nuclear scattering both limits the fraction of channeling positively charged particles and is essential for channeling of negatively charged ones, considerably complicating the latter by the rechanneling process [11,12].…”

Section: Introductionmentioning

confidence: 99%

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Quantitative theory of channeling particle diffusion in transverse energy in the presence of nuclear scattering and direct evaluation of dechanneling length

Tikhomirov

2017

Eur. Phys. J. C

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A refined equation for channeling particle diffusion in transverse energy taking into consideration largeangle scattering by nuclei is suggested. This equation is reduced to the Sturm-Liouville problem, allowing one to reveal both the origin and the limitations of the dechanneling length notion. The values of the latter are evaluated for both positively and negatively charged particles of various energies. New features of the dechanneling dynamics of positively charged particles are also revealed. First, it is demonstrated that the dechanneling length notion is completely inapplicable for their nuclear dechanneling process. Second, the effective electron dechanneling length of positively charged particle varies more than twice converging to a constant asymptotic value only at the depth exceeding the latter.

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Section: New Features Of the Diffusion Equation In Transverse Phase Smentioning

confidence: 99%

Section: New Features Of the Diffusion Equation In Transverse Phase Smentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantitative theory of channeling particle diffusion in transverse energy in the presence of nuclear scattering and direct evaluation of dechanneling length

Tikhomirov

2017

Eur. Phys. J. C

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“…-so the channeling conditions remain [13]. It is to be noted that due to the imposed facility footprint limit, limited bending fields available and troubles with synchrotron radiation losses, the circular colliders do not seem conceivable for ultra-high c.m.…”

Section: [M]·e[tev]mentioning

confidence: 99%

Far future colliders and required R&D program

Shiltsev¹

2012

AIP Conference Proceedings

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Simulation of channeling and radiation of 855 MeV electrons and positrons in a small-amplitude short-period bent crystal

Korol

Bezchastnov

Sushko

et al. 2016

Nuclear Instruments and Methods in Physics Research Section B:

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Channeling and radiation are studied for the relativistic electrons and positrons passing through a Si crystal periodically bent with a small amplitude and a short period. Comprehensive analysis of the channeling process for various bending amplitudes is presented on the grounds of numerical simulations. The features of the channeling are highlighted and elucidated within an analytically developed continuous potential approximation. The radiation spectra are computed and discussed.

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Channeling Phenomenon

Cited by 8 publications

References 0 publications

Quantitative theory of channeling particle diffusion in transverse energy in the presence of nuclear scattering and direct evaluation of dechanneling length

Quantitative theory of channeling particle diffusion in transverse energy in the presence of nuclear scattering and direct evaluation of dechanneling length

Far future colliders and required R&D program

Simulation of channeling and radiation of 855 MeV electrons and positrons in a small-amplitude short-period bent crystal

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