Classical Approach for Describing the Radiation of Channeled Particles
https://doi.org/10.56304/S2304487X21020048
Abstract
It is proposed to consider the channeling effect in the so-called accompanying reference system moving with the velocity equal to the longitudinal component of the channeled particle velocity. In such a system, particle motion is finite and similar to the vibrational motion in a one-dimensional potential (plane channeling) or two-dimensional finite motion in the central field (axial channeling). For relativistic electrons, such motion can be considered both in quantum and classical approximations. In classical consideration, such important characteristics of motion and electromagnetic radiation as the intensity of the resulting electromagnetic radiation, its spectral characteristics, and characteristic times of electron energy loss can be calculated quite simply. Using the results of the classical approach, it is possible to estimate the characteristic life times of quantum channeled states and the probability of transitions between them, which can be done only numerically in the pure quantum approach. In this paper, the method of simplified analytical consideration is applied to calculate the spectral characteristics and radiation intensity, which accompanies the axial channeling GeV electrons. It is shown that this mechanism can lead to the conversion of a significant part of the energy of the electron beam passing through the oriented single crystal target about 1 cm thick into high-energy gamma-ray photons when.
Keywords
coherent interaction,
channeling,
single crystal,
electromagnetic radiation,
quantum mechanics,
gamma radiation
Supporting agencies: The work was carried out within the framework of the Program for improving the competitiveness of the MEPhI Research Institute
About the Authors
N. P. Kalashnikov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
A. S. Olchak
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
References
1. Lindhard J., Vliyanie kristallicheskoj reshetki na dvizhenie bystryh zaryazhennyh chastic [Effect of the crystal lattice on the motion of fast charged particles], Uspekhi fizicheskih nauk, 1969, vol. 99, no. 2, pp. 249–296. (in Russian)
2. Kalashnikov N. P., Kogerentnye vzaimodejstviya zaryazhennyh chastic v monokristallah [Coherent Interactions of Charged Particles in Single Crystals]. Moscow, Atomizdat Publ., 1981, 224 p.
3. Baryshevskii V. G., Kanalirovanie, izluchenie i reakcii v kristallah pri vysokih energiyah [Channeling, Radiation and Reactions in Single Crystal at High Energies], Minsk, Izd. BGU im. V. I. Lenina Publ., 1982, 256 p.
4. Vorobyov S., Kanalirovanie elektronnyh puchkov [Channeling of electron beams], Moscow, Energoatomizdat Publ., 1984, 96 p.
5. Riabov V. A., Effekt kanalirovaniya [Channelling Effect], Moscow, Energoatomizdat Publ., 1994, 240 p.
6. Bazylev V. А., Zhivago N. К., Izluchenie bystryh chastic v veshchestve i vo vneshnih polyah [Fast Particles Radiation in Matter and in External Fields], Moscow, GRFML, Nauka Publ., 1987, 272 p.
7. Bayer V. N., Katkov V. M., Strakhovenko V. M., Elektrodinamika vysokih energij v veshchestve [High Energy Electromagnetic Processes in Oriented Single Crystalls], Novosibirsk, Nauka Publ., 1989, 400 p.
8. Akhiezer A. I., Shulga N. F., Elektrodinamika vysokih energij v veshchestve [High Energy Electrodynamics in Matter], Moscow, GRFML, Nauka Publ., 1993, 344 p.
9. Andersen J. U., Bonderup E., Loegsgaard E. et al., Channeling Electron Radiation Spectra in Silicon Single Crystal, NIM, 1982, vol. 194, pp. 209–224.
10. Zagainov V. A., Kalashnikov N. P., Olchak A. S., Conversion of the Relativistic Electron Energy into a Single Photon during the Interaction With Periodic Heterogeneities in Crystals.ISSN 1027-4510, Journal of Surface Investigation: X-ray, Synchrotron and Neutron Techniques, 2020, vol. 14, no. 2, pp. 312–315. © Pleiades Publishing, Ltd., 2020.
11. Kalashnikov N. P., Olchak A. S., Khangulian E. V., Radiation from Channeling Electrons, Stimulated by Laser Beam, NIM B, 2013. vol. 309, pp. 67–69.
12. Landau L. D., Lifshits Е. М., Kvantovaya mekhanika. Nerelyativistskaya teoriya [Theoretical Physics, Quantum Mechanics], Moscow, GRFML. Nauka Publ., 1977, vol. III, 768 p.
13. Kalashnikov N. P., Mamonov M. N., Olchak A. S., Strikhanov M. N., Raschet spectra kvantovyh sostoyanij dlya relyativistskih elektronov v rezhime ploskostnogo kanalirovaniya [Calculation of the spectrum of quantum states for relativistic electrons in the plane channeling mode], Fizika tverdogo tela, 1983, vol. 25, no. 1, pp. 190–197. (in Russian)
14. Kalashnikov N. P., Smondyrev М. А., Osnovy fiziki [The Basics of Physics], Moscow, Laboratoriya znanij Publ., 2017. vol. 2, 606 p.
Review
For citations:
Kalashnikov N.P., Olchak A.S. Classical Approach for Describing the Radiation of Channeled Particles. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2021;10(2):97-103. (In Russ.) https://doi.org/10.56304/S2304487X21020048
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