Incoherent ultrarelativistic particle scattering by nuclei at planar channeling

  • Viktor V. Tikhomirov Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus https://orcid.org/0000-0002-8323-9273
DOI: https://doi.org/10.33581/2520-2243-2020-1-83-94

Abstract

The problem of high-energy charged particle motion in the field of atomic planes of oriented crystals, essential for
particle beam manipulation, intensive gamma-radiation generation and prepared measurements of short-living elementary particle properties, such as magnetic and electric dipole momenta, is considered. A rigorously evaluated instant change of transverse channeling motion energy under the scattering by an atomic core is applied to deduce an expression for the average transverse energy growth rate, which takes into consideration both the quantum effects and sharp particle density variation inside an inter-plane channel. The latter makes it possible for the first time to describe numerically the key limitations of multiple applications of the channeling effects in high-energy physics, not involving the parameters, introduces earlier through the arbitrary qualitative considerations. Also, the expressions of both the large angle scattering cross section and average square of small scattering angles are obtained, making possible to formulate a consistent simulation method of both positively and negatively charged particles propagation both in and out of the channeling conditions, taking into consideration both quantum nature of incoherent and classical one of the coherent scattering of ultra-relativistic particles by crystal plane atoms.

Author Biography

Viktor V. Tikhomirov, Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus

doctor of science (physics and mathematics), full professor; head of the laboratory of nuclear optics and astroparticle physics



References

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Published
2020-01-31
Keywords: high-energy, relativistic quantum mechanics, particle channeling in crystals, dipole moment, scattering by nuclei, coherent scatting in crystals, incoherent scatting
Supporting Agencies The author is grateful for the discussions to doctor of science, professor, honored scientist of Belarus Republic, Vladimir Grigorjevich Baryshevsky, as well as to doctor Xavier Artru (Claude Bernard University Lyon), doctor of science, professor Sultan Dabagov (Frascati National Laboratory, Rome, Italy; National Research Nuclear University MEPhI) and doctor Andrea Mazzolari (Ferrara University, Italy).
How to Cite
Tikhomirov, V. V. (2020). Incoherent ultrarelativistic particle scattering by nuclei at planar channeling. Journal of the Belarusian State University. Physics, 1, 83-94. https://doi.org/10.33581/2520-2243-2020-1-83-94
Issue
No 1 (2020): Journal of the Belarusian State University. Physics
Section
Atomic Nucleus and Elementary Particle Physics

Copyright (c) 2020 Journal of the Belarusian State University. Physics

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