vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"vestifm-276Research ArticleФИЗИКАPHYSICSИСПОЛЬЗОВАНИЕ КРИСТАЛЛОВ В ФИЗИКЕ ВЫСОКИХ ЭНЕРГИЙ ДЛЯ НАБЛЮДЕНИЯ НОВЫХ ЯВЛЕНИЙ И РАЗВИТИЯ УСКОРИТЕЛЬНЫХ ТЕХНОЛОГИЙCRYSTAL APPLICATIONS IN HIGH ENERGY PHYSICS FOR NEW PHENOMENA OBSERVATION AND ACCELERATION TECHNOLOGY DEVELOPMENTБарышевскийВ. Г.BaryshevskyV. G.

доктор физико-математических наук, профессор, почетный директор, главный научный сотрудник 

ул. Бобруйская, 11, Минск, 220030

D. Sc. (Physics and Mathematics), Professor, Honorary Director, Principal Research Scientist

11, Bobruiskaya Str., Minsk, 220030

bar@inp.bsu.byТихомировВ. В.TikhomirovV. V.

доктор физико- математических наук, профессор, заведующий лабораторией

лаборатория ядерной оптики и космомикрофизики 

ул. Бобруйская, 11, Минск, 220030

D. Sc. (Physics and Mathematics), Professor, Head of the Laboratory of Nuclear Optics and Astroparticle Physics

11, Bobruiskaya Str., Minsk, 220030

tikh@inp.bsu.byИнститут ядерных проблем Белорусского государственного университетаInstitute for Nuclear Problems of the Belarusian State University201723012018042032Copyright © Барышевский В.Г., Тихомиров В.В., 20182018Барышевский В.Г., Тихомиров В.В.Baryshevsky V.G., Tikhomirov V.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/276

При движении частиц высоких энергий вдоль осей или плоскостей кристалла они испытывают действие протяженного эффективного поля, напряженность которого на порядки превосходит величины, создаваемые любыми стационарными магнитами. Столь сильные поля открывают широкие возможности наблюдения новых явлений, измерения характеристик частиц, управления их пучками, а также генерации и поляризации последних. Многие из этих возможностей были предсказаны белорусскими учеными и наблюдались в ЦЕРН, ФНАЛ, ИФВЭ и других ускорительных центрах. Предложенные эффекты увеличения эффективности захвата частиц в режим каналирования при помощи выреза в кристалле и усиления их отклонения вследствие отражения от различных плоскостей одного кристалла позволяют усилить защиту сверхпроводящих магнитов Большого адронного коллайдера и проектируемого адронного коллайдера Будущего. Значительное усиление процесса излучения и рождения пар в кристаллах может оказывать влияние на функционирование калориметра Компактного мюонного соленоида (CSM) гамма-телескопа «Ферми», а также быть использовано при разработке более эффективных калориметров и гамма- телескопов в будущем. Эффект вращения спина каналированных частиц в изогнутых кристаллах делает возможным измерения магнитных и электрических дипольных моментов короткоживущих очарованных и бьюти-гиперонов, а также наблюдать изменение магнитного момента электрона. 

When high energy particles move along the crystal axis or plane, they experience the action of an extended effective field, the strength of which by orders of magnitude exceeds that of any stationary magnet. These fields give rise to wide possibilities of new phenomena observation, particle properties measurement, high energy beam control, generation and polarization. Many of their possibilities have been predicted by Belarusian scientists and observed at CERN, FNAL, IHPEP, etc. The revealed effects of channeling efficiency increase by crystal cutting and multiple volume reflection from different atomic planes of the same bent crystal make it possible to improve the radiation protection of superconducting magnets of both the high luminocity Large hardron collider phase and the Future circular collider. A drastic enhancement of both radiation and pair production processes in crystals can influence the functioning of both the existing Compact muon solenoid electromagnetic calorimeter at CERN and Fermi gamma-telescope as well as can be applied to devise more effective calorimeters and gamma-telescopes in future. A remarkable effect of channeling particle spin rotation in bent crystals enables one to measure both magnetic and electron dipole moments of short-lived charm and beauty hyperons as well as to observe electron magnetic moment modification. 

кристаллвысокие энергииэлектронпозитронгамма-квантсильное полеквантовая электродинамикаколлимацияизлучениерождение пармагнитный моментcrystalhigh energieselectronpositrongamma-quantumstrong fieldquantum electrodynamicscollimationradiationpair productionmagnetic momentReferencesBaryshevsky V. G. Channeling, Radiation and Reactions in Crystals at High Energies. Minsk, Belarusian State University, 1982. 256 p. (in Russian).Baryshevsky V. G. Channeling, Radiation and Reactions in Crystals at High Energies. Minsk, Belarusian State University, 1982. 256 p. (in Russian).Baryshevskii V. G., Tikhomirov V. V. Synchrotron-type radiation processes in crystals and polarization phenomena accompanying them. Soviet Physics Uspekhi, 1989, vol. 32, no. 11, pp. 1013–1032. Doi: 10.1070/pu1989v032n11abeh002778Baryshevskii V. G., Tikhomirov V. V. Synchrotron-type radiation processes in crystals and polarization phenomena accompanying them. Soviet Physics Uspekhi, 1989, vol. 32, no. 11, pp. 1013–1032. Doi: 10.1070/pu1989v032n11abeh002778Baryshevsky V. G. High-Energy Nuclear Optics of Polarized Particles. World Press, 2012. 640 p. Doi: 10.1142/9789814324847Baryshevsky V. G. High-Energy Nuclear Optics of Polarized Particles. World Press, 2012. 640 p. Doi: 10.1142/9789814324847Tikhomirov V. V. A technique to improve crystal channeling efficiency of charged particles. Journal of Instrumentation, 2007, vol. 2, no. 8, p. 08006. Doi: 10.1088/1748-0221/2/08/P08006Tikhomirov V. V. A technique to improve crystal channeling efficiency of charged particles. Journal of Instrumentation, 2007, vol. 2, no. 8, p. 08006. Doi: 10.1088/1748-0221/2/08/P08006Tikhomirov V. V. Multiple volume reflection from different planes inside one bent crystal. Physics Letters B, 2007, vol. 655, no. 5-6, pp. 217–222. Doi: 10.1016/j.physletb.2007.09.049Tikhomirov V. V. Multiple volume reflection from different planes inside one bent crystal. Physics Letters B, 2007, vol. 655, no. 5-6, pp. 217–222. Doi: 10.1016/j.physletb.2007.09.049Ritus V. N. Quantum electrodynamics of the phenomena in a strong field. Trudy FIAN [Proc. P.N. Lebedev Physical Institute], 1979, vol. 111, pp. 3–151 (in Russian).Ritus V. N. Quantum electrodynamics of the phenomena in a strong field. Trudy FIAN [Proc. P.N. Lebedev Physical Institute], 1979, vol. 111, pp. 3–151 (in Russian).Erber T. High energy conversion processes in intense magnetic field. Reviews of Modern Physics, 1966, vol. 38, no. 4, pp. 626–659. Doi: 10.1103/revmodphys.38.626Erber T. High energy conversion processes in intense magnetic field. Reviews of Modern Physics, 1966, vol. 38, no. 4, pp. 626–659. Doi: 10.1103/revmodphys.38.626Baier V. N., Katkov V. M., Fadin V. S. Radiation From Relativistic Electrons. Moscow, Atomizdat Publ., 1973. 376 p. (in Russian).Baier V. N., Katkov V. M., Fadin V. S. Radiation From Relativistic Electrons. Moscow, Atomizdat Publ., 1973. 376 p. (in Russian).Berestetskii V. B., Lifshitz E. M., Pitaevskii L. P. Electrodynamics of hadrons. Quantum Electrodynamics. Second Edition. Butterworth-Heinemann, 1982, pp. 624–647. Doi: 10.1016/b978-0-08-050346-2.50020-9Berestetskii V. B., Lifshitz E. M., Pitaevskii L. P. Electrodynamics of hadrons. Quantum Electrodynamics. Second Edition. Butterworth-Heinemann, 1982, pp. 624–647. Doi: 10.1016/b978-0-08-050346-2.50020-9Zimmermann F. High-energy physics strategies and future large-scale projects. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2015, vol. 355, pp. 4–10. Doi: 10.1016/j. nimb.2015.03.090Zimmermann F. High-energy physics strategies and future large-scale projects. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2015, vol. 355, pp. 4–10. Doi: 10.1016/j. nimb.2015.03.090Elleaume P., Ropert A. The ultimate hard X-ray storage-ring-based light source. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2003, vol. 500, no. 1–3, pp. 18–24. Doi: 10.1016/s0168-9002(03)00737-xElleaume P., Ropert A. The ultimate hard X-ray storage-ring-based light source. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 2003, vol. 500, no. 1–3, pp. 18–24. Doi: 10.1016/s0168-9002(03)00737-xLindhard J. Influence of crystal lattice on motion of energetic charged particles. Matematisk-fysiske Meddelelser. Det Kongelige Danske Videnskabernes Selskab. København, 1965. vol. 34, no. 14. 64 p.Lindhard J. Influence of crystal lattice on motion of energetic charged particles. Matematisk-fysiske Meddelelser. Det Kongelige Danske Videnskabernes Selskab. København, 1965. vol. 34, no. 14. 64 p.Ter-Mikaelian M. L. High-energy Electromagnetic Processes in Condensed Media. New York, Wiley, 1972. 466 p.Ter-Mikaelian M. L. High-energy Electromagnetic Processes in Condensed Media. New York, Wiley, 1972. 466 p.Kimball J.C., Cue N. Quantum electrodynamics and channeling in crystals. Physics Reports, 1985, vol. 125, no. 2, pp. 69–101. Doi: 10.1016/0370-1573(85)90021-3Kimball J.C., Cue N. Quantum electrodynamics and channeling in crystals. Physics Reports, 1985, vol. 125, no. 2, pp. 69–101. Doi: 10.1016/0370-1573(85)90021-3Baier V. N., Katkov V. M., Strakhovenko V. M. Electromagnetic Processes at High Energies in Oriented Single Crystals. Singapore, World Scientific, 1998. 568 p. Doi: 10.1142/9789812817532Baier V. N., Katkov V. M., Strakhovenko V. M. Electromagnetic Processes at High Energies in Oriented Single Crystals. Singapore, World Scientific, 1998. 568 p. Doi: 10.1142/9789812817532Sorrensen A. H., Uggerhoj E. Channeling and channeling radiation. Nature, 1987, vol. 325, no. 6102, pp. 311–318. Doi: 10.1038/325311a0; Sorrensen A. H., Uggerhoj E. The channeling of electrons and positrons. Scientific American, 1989, vol. 260, no. 6, pp. 70–77.Sorrensen A. H., Uggerhoj E. Channeling and channeling radiation. Nature, 1987, vol. 325, no. 6102, pp. 311–318. Doi: 10.1038/325311a0; Sorrensen A. H., Uggerhoj E. The channeling of electrons and positrons. Scientific American, 1989, vol. 260, no. 6, pp. 70–77.Akhiezer A. I., Shul’ga N. F. High Energy Electrodynamics in Matter. New York, Gordon and Breach, 1996. 400 p.Akhiezer A. I., Shul’ga N. F. High Energy Electrodynamics in Matter. New York, Gordon and Breach, 1996. 400 p.Baryshevsky V. G., Dubovskaya I. Ya. Complex and anomalous Doppler effect for channeling positrons (electrons). Doklady Physics, 1976, vol. 21, pp. 711–714.Baryshevsky V. G., Dubovskaya I. Ya. Complex and anomalous Doppler effect for channeling positrons (electrons). Doklady Physics, 1976, vol. 21, pp. 711–714.Kumakhov M. A. On the theory of electromagnetic radiation of charged particles in a crystal. Physics Letters A, 1976, vol. 57, no. 1, pp. 17–18. Doi: 10.1016/0375-9601(76)90438-2Kumakhov M. A. On the theory of electromagnetic radiation of charged particles in a crystal. Physics Letters A, 1976, vol. 57, no. 1, pp. 17–18. Doi: 10.1016/0375-9601(76)90438-2Tsyganov E. N. Some aspects of the mechanism of a charge particle penetration through a monocrystal. Technical report. FermilabTN-683, 1976. Available at: http://lss.fnal.gov/archive/test-tm/0000/fermilab-tm-0682.pdfTsyganov E. N. Some aspects of the mechanism of a charge particle penetration through a monocrystal. Technical report. FermilabTN-683, 1976. Available at: http://lss.fnal.gov/archive/test-tm/0000/fermilab-tm-0682.pdfMaslov M. A., Mokhov N. V., Yazynin I. A. The SSC Beam Scraper System. Superconducting Super Collider Laboratory SSCL-484. Dallas U.S.A, 1991. Available at: http://www.iaea.org/inis/collection/NCLCollectionStore/_Public/23/011/23011739.pdfMaslov M. A., Mokhov N. V., Yazynin I. A. The SSC Beam Scraper System. Superconducting Super Collider Laboratory SSCL-484. Dallas U.S.A, 1991. Available at: http://www.iaea.org/inis/collection/NCLCollectionStore/_Public/23/011/23011739.pdfBall A., Benedikt M., Bottura L., Dominguez O., Gianotti F., Goddard B., Lebrun P., Mangano M., Schulte D., Shaposhnikova E., Tomas R., Zimmermann F. Future circular collider study hadron collider parameters. Tech. Rep. FCC1401101315-DSC, 2014. Available at: https://indico.cern.ch/event/282344/attachments/519300/716459/FCC-1401101315-DSC_ HadronColliderParameters_V1.0_ForIndico.pdfBall A., Benedikt M., Bottura L., Dominguez O., Gianotti F., Goddard B., Lebrun P., Mangano M., Schulte D., Shaposhnikova E., Tomas R., Zimmermann F. Future circular collider study hadron collider parameters. Tech. Rep. FCC1401101315-DSC, 2014. Available at: https://indico.cern.ch/event/282344/attachments/519300/716459/FCC-1401101315-DSC_ HadronColliderParameters_V1.0_ForIndico.pdfLamont M. Estimates of annual proton doses in the LHC. LHC Project Note 375, 2005. Available at: http://cds.cern. ch/record/893060/files/project-note-375.pdfLamont M. Estimates of annual proton doses in the LHC. LHC Project Note 375, 2005. Available at: http://cds.cern. ch/record/893060/files/project-note-375.pdfTaratin A. M., Vorobiev S. A. “volume reflection” of high-energy charged particles in quasi-channeling states in bent crystals. Physics Letters A, 1987, vol. 119, no. 8 pp. 425–427. Doi: 10.1016/0375-9601(87)90587-1Taratin A. M., Vorobiev S. A. “volume reflection” of high-energy charged particles in quasi-channeling states in bent crystals. Physics Letters A, 1987, vol. 119, no. 8 pp. 425–427. Doi: 10.1016/0375-9601(87)90587-1Baryshevsky V. G., Dubovskaya I. Ya., Grubich A. O. Generation of γ-quanta by charged particles in the presence of a variable external field. Physics Letters A, 1980, vol. 77, no. 1, pp. 61–64. Doi: 10.1016/0375-9601(80)90637-4Baryshevsky V. G., Dubovskaya I. Ya., Grubich A. O. Generation of γ-quanta by charged particles in the presence of a variable external field. Physics Letters A, 1980, vol. 77, no. 1, pp. 61–64. Doi: 10.1016/0375-9601(80)90637-4Kaplin V. V., Plotnilov S. V., Vorobiev S. A. Radiation by charged particles channeled in deformed crystals. Zhurnal Tekhnicheskoi Fiziki = Journal of Applied Physics, 1980, vol. 50, pp. 1079–1081 (in Russian).Kaplin V. V., Plotnilov S. V., Vorobiev S. A. Radiation by charged particles channeled in deformed crystals. Zhurnal Tekhnicheskoi Fiziki = Journal of Applied Physics, 1980, vol. 50, pp. 1079–1081 (in Russian).Scandale W. Use of crystals for beam deflection in particle accelerators. Modern Physics Letters A, 2012, vol. 27, no. 6, p.1230007. Doi: 10.1142/s0217732312300078Scandale W. Use of crystals for beam deflection in particle accelerators. Modern Physics Letters A, 2012, vol. 27, no. 6, p.1230007. Doi: 10.1142/s0217732312300078Vomiero A., Bagli E., Baricordi S., Dalpiaz P., Fiorini M., Guidi V., Mazzolari A., Vincenzi D., Milan R., Gianantonio Della Mea, Vallazza E., Afonin A. G., Chesnokov Yu. A., Maisheev V. A., Yazynin I. A., Golovatyuk V. M. Tikhomirov V. V. First observation of multiple volume reflection by different planes in one bent silicon crystal for high-energy protons. Physics Letters B, 2009. vol. 682, no. 3 pp. 274−277. Doi: 10.1016/j.physletb.2009.11.026Vomiero A., Bagli E., Baricordi S., Dalpiaz P., Fiorini M., Guidi V., Mazzolari A., Vincenzi D., Milan R., Gianantonio Della Mea, Vallazza E., Afonin A. G., Chesnokov Yu. A., Maisheev V. A., Yazynin I. A., Golovatyuk V. M. Tikhomirov V. V. First observation of multiple volume reflection by different planes in one bent silicon crystal for high-energy protons. Physics Letters B, 2009. vol. 682, no. 3 pp. 274−277. Doi: 10.1016/j.physletb.2009.11.026Scandale W., Vomiero A., Bagli E., Baricordi S., Dalpiaz P., Fiorini M., Guidi V., Mazzolari A., Vincenzi D., Milan R., Della Mea G., Vallazza E., Afonin A. G., Chesnokov Yu. A., Maisheev V. A., Yazynin I. A., Kovalenko A. D., Tikhomirov V. V. Observation of multiple volume reflection by different planes in one bent silicon crystal for high-energy negative particles. EPL (Europhysics Letters), 2011, vol. 93, no. 5, p. 56002. Doi: 10.1209/0295-5075/93/56002Scandale W., Vomiero A., Bagli E., Baricordi S., Dalpiaz P., Fiorini M., Guidi V., Mazzolari A., Vincenzi D., Milan R., Della Mea G., Vallazza E., Afonin A. G., Chesnokov Yu. A., Maisheev V. A., Yazynin I. A., Kovalenko A. D., Tikhomirov V. V. Observation of multiple volume reflection by different planes in one bent silicon crystal for high-energy negative particles. EPL (Europhysics Letters), 2011, vol. 93, no. 5, p. 56002. Doi: 10.1209/0295-5075/93/56002Guidi V., Mazzolari A., Tikhomirov V. On the observation of multiple volume reflection from different planes inside one bent crystal. Journal of Applied Physics, 2010. vol. 107, no. 11, p. 114908. Doi: 10.1063/1.3407526Guidi V., Mazzolari A., Tikhomirov V. On the observation of multiple volume reflection from different planes inside one bent crystal. Journal of Applied Physics, 2010. vol. 107, no. 11, p. 114908. Doi: 10.1063/1.3407526Tikhomirov V. V., Sytov A. I. Multiple Volume Reflection as an Origin of Significant Scattering Intensity and Radiation Power Increase. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2013. vol. 309. pp. 109–114. Doi: 10.1016/j.nimb.2013.01.068Tikhomirov V. V., Sytov A. I. Multiple Volume Reflection as an Origin of Significant Scattering Intensity and Radiation Power Increase. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2013. vol. 309. pp. 109–114. Doi: 10.1016/j.nimb.2013.01.068Baryshevsky V. G., Tikhomirov V. V. Birefringence of the high-energy γ-quanta in monocrystals. Sov. J. Nucl. Phys., 1982, vol. 36, pp. 408–416.; Baryshevsky V. G., Tikhomirov V. V. Birefringence of the high-energy γ-quanta in monocrystals. Physics Letters A, 1982, vol. 90, no. 3, pp. 153–155. Doi: 10.1016/0375-9601(82)90722-8Baryshevsky V. G., Tikhomirov V. V. Birefringence of the high-energy γ-quanta in monocrystals. Sov. J. Nucl. Phys., 1982, vol. 36, pp. 408–416.; Baryshevsky V. G., Tikhomirov V. V. Birefringence of the high-energy γ-quanta in monocrystals. Physics Letters A, 1982, vol. 90, no. 3, pp. 153–155. Doi: 10.1016/0375-9601(82)90722-8Belkacem A., Bologna G., Chevallier M., Cue N., Gaillard M. J., Genre R., Kimball J. C., Kirsch R., Marsh B., Peigneux J. P., Poizat J. C., Remillieux J., Sillou D., Spighel M., Sun C. R. Study of e+e− pair creation by 20-150 GeV photons incident on a germanium crystal in alignment conditions. Physical Review Letters, 1987, vol. 58, no. 12, pp. 1196–1199. Doi: 10.1103/physrevlett.58.1196Belkacem A., Bologna G., Chevallier M., Cue N., Gaillard M. J., Genre R., Kimball J. C., Kirsch R., Marsh B., Peigneux J. P., Poizat J. C., Remillieux J., Sillou D., Spighel M., Sun C. R. Study of e+e− pair creation by 20-150 GeV photons incident on a germanium crystal in alignment conditions. Physical Review Letters, 1987, vol. 58, no. 12, pp. 1196–1199. Doi: 10.1103/physrevlett.58.1196Bak J. F., Barberis D., Brodbeck T. J., Doyle A. T., Ellison R. J., Elsener K., Hughes-Jones R. E., Kolya S. D., Mercer D., Møller S. P., Newton D., Ottewell P. J., Petersen J. B. B., Siffert P., Sørensen A. H., Thompson R. J., Uggerhø E., Wilson G. W. e+e− pair creation by 40–150 GeV photons incident near the axis in a germanium crystal. Physics Letters B, 1988, vol. 202, no. 4, pp. 615–619. Doi: 10.1016/0370-2693(88)91874-6Bak J. F., Barberis D., Brodbeck T. J., Doyle A. T., Ellison R. J., Elsener K., Hughes-Jones R. E., Kolya S. D., Mercer D., Møller S. P., Newton D., Ottewell P. J., Petersen J. B. B., Siffert P., Sørensen A. H., Thompson R. J., Uggerhø E., Wilson G. W. e+e− pair creation by 40–150 GeV photons incident near the axis in a germanium crystal. Physics Letters B, 1988, vol. 202, no. 4, pp. 615–619. Doi: 10.1016/0370-2693(88)91874-6Belkacem A., Bologna G., Chevallier M., Cue N., Gaillard M. J., Genre R., Kimball J. C., Kirsch R., Marsh B., Peigneux J. P., Poizat J. C., Remillieux J., Sillou D., Spighel M., Sunet C. R. New channeling effects in the radiative emission of 150 GeV electrons in a thin germanium crystal. Physics Letters B, 1986, vol. 177, no. 2, pp. 211–216. Doi: 10.1016/0370- 2693(86)91059-2Belkacem A., Bologna G., Chevallier M., Cue N., Gaillard M. J., Genre R., Kimball J. C., Kirsch R., Marsh B., Peigneux J. P., Poizat J. C., Remillieux J., Sillou D., Spighel M., Sunet C. R. New channeling effects in the radiative emission of 150 GeV electrons in a thin germanium crystal. Physics Letters B, 1986, vol. 177, no. 2, pp. 211–216. Doi: 10.1016/0370- 2693(86)91059-2Tikhomirov V. V. The position of the peak in the spectrum of 150 GeV electron energy losses in a thin Germanium crystal is proposed to be determined by radiation cooling. Physics Letters A, 1987, vol. 125, no. 8. pp. 411–415. Doi: 10.1016/0375-9601(87)90173-3Tikhomirov V. V. The position of the peak in the spectrum of 150 GeV electron energy losses in a thin Germanium crystal is proposed to be determined by radiation cooling. Physics Letters A, 1987, vol. 125, no. 8. pp. 411–415. Doi: 10.1016/0375-9601(87)90173-3Tikhomirov V. V. Simulation of multi-GeV electron energy losses in crystals. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 1989, vol. 36, no. 3, pp. 282–285. Doi: 10.1016/0168-583x(89)90670-8Tikhomirov V. V. Simulation of multi-GeV electron energy losses in crystals. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 1989, vol. 36, no. 3, pp. 282–285. Doi: 10.1016/0168-583x(89)90670-8Artru X. A simulation code for channeling radiation by ultrarelativistic electrons or positrons. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 1990, vol. 48, no. 1-4, pp. 278–282. Doi: 10.1016/0168-583x(90)90122-bArtru X. A simulation code for channeling radiation by ultrarelativistic electrons or positrons. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 1990, vol. 48, no. 1-4, pp. 278–282. Doi: 10.1016/0168-583x(90)90122-bBaurichter A. A. Baurichter, K. Kirsebom, Yu. V. Kononets, R. Medenwaldt, U. Mikkelsen, S. P. Møller, E. Uggerhøj, T. Worm, K. Elsener, S. Ballestrero, P. Sona, J. Romano, S. H. Connell, J. P. F. Sellschop, R. O. Avakian, Avetisian A. E., Taroian S. P. Radiation emission and its influence on the motion of multi-GeV electrons and positrons in strong crystalline fields. Physical Review Letters, 1997, vol. 79, no. 18, pp. 3415–3419. Doi: 10.1103/physrevlett.79.3415Baurichter A. A. Baurichter, K. Kirsebom, Yu. V. Kononets, R. Medenwaldt, U. Mikkelsen, S. P. Møller, E. Uggerhøj, T. Worm, K. Elsener, S. Ballestrero, P. Sona, J. Romano, S. H. Connell, J. P. F. Sellschop, R. O. Avakian, Avetisian A. E., Taroian S. P. Radiation emission and its influence on the motion of multi-GeV electrons and positrons in strong crystalline fields. Physical Review Letters, 1997, vol. 79, no. 18, pp. 3415–3419. Doi: 10.1103/physrevlett.79.3415Kirsebom K., Mikkelsen U., Uggerhøj E., Elsener K., Ballestrero S., Sona P., Connell S. H., Sellschop J. P. F., Vilakazi Z. Z. Radiation emission and its influence on the motion of multi-GeV electrons and positrons incident on a single diamond crystal. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2001, vol. 174, pp. 274–296. Doi: 10.1016/s0168-583x(00)00517-6Kirsebom K., Mikkelsen U., Uggerhøj E., Elsener K., Ballestrero S., Sona P., Connell S. H., Sellschop J. P. F., Vilakazi Z. Z. Radiation emission and its influence on the motion of multi-GeV electrons and positrons incident on a single diamond crystal. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2001, vol. 174, pp. 274–296. Doi: 10.1016/s0168-583x(00)00517-6Baryshevsky V. G., Haurylavets V. V., Korjik M. V., Lobko A. S., Mechinsky V. A., Sytov A. I., Tikhomirov V. V., Uglov V. V. On the influence of crystal structure on the electromagnetic shower development in the lead tungstate crystals. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 1989, vol. 402, pp. 35–39. Doi: 10.1016/j.nimb.2017.02.066Baryshevsky V. G., Haurylavets V. V., Korjik M. V., Lobko A. S., Mechinsky V. A., Sytov A. I., Tikhomirov V. V., Uglov V. V. On the influence of crystal structure on the electromagnetic shower development in the lead tungstate crystals. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 1989, vol. 402, pp. 35–39. Doi: 10.1016/j.nimb.2017.02.066Guidi V., Bandiera L., Tikhomirov V. V. Radiation generated by single and multiple volume reflection of ultrarelativistic electrons and positrons in bent crystals. Physical Review A, 2012, vol. 86, no. 4, p. 042903. Doi: 10.1103/ physreva.86.042903.Guidi V., Bandiera L., Tikhomirov V. V. Radiation generated by single and multiple volume reflection of ultrarelativistic electrons and positrons in bent crystals. Physical Review A, 2012, vol. 86, no. 4, p. 042903. Doi: 10.1103/ physreva.86.042903.Bandiera L., Bagli E., Guidi V., Mazzolari A., Berra A., Lietti D., Prest M., Vallazza E., De Salvador D., Tikhomirov V. Broad and intense radiation accompanying multiple volume reflection of ultrarelativistic electrons in a bent crystal. Physical Review Letters, 2013, vol. 111, no. 25, p. 255502. Doi: 10.1103/physrevlett.111.255502Bandiera L., Bagli E., Guidi V., Mazzolari A., Berra A., Lietti D., Prest M., Vallazza E., De Salvador D., Tikhomirov V. Broad and intense radiation accompanying multiple volume reflection of ultrarelativistic electrons in a bent crystal. Physical Review Letters, 2013, vol. 111, no. 25, p. 255502. Doi: 10.1103/physrevlett.111.255502Mazzolari A, Bagli E., Bandiera L., Guidi V., Backe H., Lauth W., Tikhomirov V., Berra A., Lietti D., Prest M., Vallazza E., De Salvador D. Steering of a sub-GeV electron beam through planar channeling enhanced by rechanneling. Physical Review Letters, 2014, vol. 112, no. 13. p. 135503. Doi: 10.1103/physrevlett.112.135503Mazzolari A, Bagli E., Bandiera L., Guidi V., Backe H., Lauth W., Tikhomirov V., Berra A., Lietti D., Prest M., Vallazza E., De Salvador D. Steering of a sub-GeV electron beam through planar channeling enhanced by rechanneling. Physical Review Letters, 2014, vol. 112, no. 13. p. 135503. Doi: 10.1103/physrevlett.112.135503Bandiera L., Bagli E., Germogli G., Guidi V., Mazzolari A., Backe H., Lauth W., Berra A., Lietti D., Prest M., De Salvador D., Vallazza E., Tikhomirov V. Investigation of the electromagnetic radiation emitted by sub-GeV electrons in a bent crystal. Physical Review Letters, 2015, vol. 115, no. 2, p. 025504. Doi: 10.1103/physrevlett.115.025504.Bandiera L., Bagli E., Germogli G., Guidi V., Mazzolari A., Backe H., Lauth W., Berra A., Lietti D., Prest M., De Salvador D., Vallazza E., Tikhomirov V. Investigation of the electromagnetic radiation emitted by sub-GeV electrons in a bent crystal. Physical Review Letters, 2015, vol. 115, no. 2, p. 025504. Doi: 10.1103/physrevlett.115.025504.Energy calibration and resolution of the CMS electromagnetic calorimeter in pp collisions at √s = 7 TeV. Journal of Instrumentation, 2013, vol. 8, no. 09, P09009. Doi: 10.1088/1748-0221/8/09/p09009Energy calibration and resolution of the CMS electromagnetic calorimeter in pp collisions at √s = 7 TeV. Journal of Instrumentation, 2013, vol. 8, no. 09, P09009. Doi: 10.1088/1748-0221/8/09/p09009Tikhomirov V. V. On the possibility of crystal use in gamma-telescopes. Doklady Natsional’noi akademii nauk Belarusi = Doklady of the National Academy of Sciences of Belarus, 2015, vol. 59, no. 1, pp. 41–47 (in Russian).Tikhomirov V. V. On the possibility of crystal use in gamma-telescopes. Doklady Natsional’noi akademii nauk Belarusi = Doklady of the National Academy of Sciences of Belarus, 2015, vol. 59, no. 1, pp. 41–47 (in Russian).Bagli E., Bandiera L., Bellucci V., Berra A., Camattari R., De Salvador D., Germogli G., Guidi V., Lanzoni L., Lietti D., Mazzolari A., Prest M., Tikhomirov V., Vallazza E. Experimental evidence of planar channeling in a periodically bent crystal. The European Physical Journal C, 2014, vol. 74, no. 10, p. 3114. Doi: 10.1140/epjc/s10052-014-3114-xBagli E., Bandiera L., Bellucci V., Berra A., Camattari R., De Salvador D., Germogli G., Guidi V., Lanzoni L., Lietti D., Mazzolari A., Prest M., Tikhomirov V., Vallazza E. Experimental evidence of planar channeling in a periodically bent crystal. The European Physical Journal C, 2014, vol. 74, no. 10, p. 3114. Doi: 10.1140/epjc/s10052-014-3114-xKorol A. V., Solov’yov A. V., Greiner W. Channeling and Radiation in Periodically Bent Crystals. Springer-Verlag, Berlin, Heidelberg, 2014. 284 p. Doi: 10.1007/978-3-642-31895-5Korol A. V., Solov’yov A. V., Greiner W. Channeling and Radiation in Periodically Bent Crystals. Springer-Verlag, Berlin, Heidelberg, 2014. 284 p. Doi: 10.1007/978-3-642-31895-5Baryshevsky V. G. Tikhomirov V. V. Crystal undulators: from the prediction to the mature simulations. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, B. 2013, vol. 309, pp. 30–36. Doi: 10.1016/j.nimb.2013.03.013Baryshevsky V. G. Tikhomirov V. V. Crystal undulators: from the prediction to the mature simulations. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, B. 2013, vol. 309, pp. 30–36. Doi: 10.1016/j.nimb.2013.03.013Tikhomirov V. V. A benchmark construction of positron crystal undulator. 2015. Available at: http://inp.bsu.by/ personal/tikhomirov/1502.06588.pdfTikhomirov V. V. A benchmark construction of positron crystal undulator. 2015. Available at: http://inp.bsu.by/ personal/tikhomirov/1502.06588.pdfBaryshevsky V. G. Spin rotation of ultrarelativistic particles passing through a crystal. Pis’ma v zhurnal tekhnicheskoi fiziki = Applied Physics Letters, 1979, vol. 5, pp. 182–184 (in Russian).Baryshevsky V. G. Spin rotation of ultrarelativistic particles passing through a crystal. Pis’ma v zhurnal tekhnicheskoi fiziki = Applied Physics Letters, 1979, vol. 5, pp. 182–184 (in Russian).Baublis V. V. (et al.) First observation of spin precession of polarized Σ+ hyperons channeled in bent crystals. LNPI Research Report (1990–1991) E761 Collaboration. St. Pertersburg, 1992, pp. 24–26.Baublis V. V. (et al.) First observation of spin precession of polarized Σ+ hyperons channeled in bent crystals. LNPI Research Report (1990–1991) E761 Collaboration. St. Pertersburg, 1992, pp. 24–26.Baryshevsky V. G. The possibility to measure the magnetic moments of short-lived particles (charm and beauty baryons) at LHC and FCC energies using the phenomenon of spin rotation in crystals. Physics Letters B, 2016, vol. 757, pp. 426–429. Doi: 10.1016/j.physletb.2016.04.025Baryshevsky V. G. The possibility to measure the magnetic moments of short-lived particles (charm and beauty baryons) at LHC and FCC energies using the phenomenon of spin rotation in crystals. Physics Letters B, 2016, vol. 757, pp. 426–429. Doi: 10.1016/j.physletb.2016.04.025Fomin A. S., Korchin A. Yu., Stocchi A., Bezshyyko O. A. , Burmistrov L., Fomin S. P., Kirillin I. V., Massacrier L., Natochii A., Robbe P., Scandale W. , Shul’ga N. F. Feasibility of measuring the magnetic dipole moments of the charm baryons at the LHC using bent crystals. Journal of High Energy Physics, 2017, vol. 2017, no. 8. Doi: 10.1007/jhep08(2017)120Fomin A. S., Korchin A. Yu., Stocchi A., Bezshyyko O. A. , Burmistrov L., Fomin S. P., Kirillin I. V., Massacrier L., Natochii A., Robbe P., Scandale W. , Shul’ga N. F. Feasibility of measuring the magnetic dipole moments of the charm baryons at the LHC using bent crystals. Journal of High Energy Physics, 2017, vol. 2017, no. 8. Doi: 10.1007/jhep08(2017)120Botella F. J., Garcia Martin L. M., Marangotto D., Martinez Vidal1 F., Merli A., Neriz N., Oyanguren A., Ruiz Vidal J. On the search for the electric dipole moment of strange and charm baryons at LHC. The European Physical Journal C, 2017, vol. 77, no. 3. Doi: 10.1140/epjc/s10052-017-4679-yBotella F. J., Garcia Martin L. M., Marangotto D., Martinez Vidal1 F., Merli A., Neriz N., Oyanguren A., Ruiz Vidal J. On the search for the electric dipole moment of strange and charm baryons at LHC. The European Physical Journal C, 2017, vol. 77, no. 3. Doi: 10.1140/epjc/s10052-017-4679-yBaryshevsky V. G. Spin rotation and depolarization of high-energy particles in crystals at LHC and FCC energies. The possibility to measure the anomalous magnetic moments of short-lived particles and quadrupole moment of Ω-hyperon. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2017, vol. 402, pp. 5–10. Doi: 10.1016/j.nimb.2017.02.081Baryshevsky V. G. Spin rotation and depolarization of high-energy particles in crystals at LHC and FCC energies. The possibility to measure the anomalous magnetic moments of short-lived particles and quadrupole moment of Ω-hyperon. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, 2017, vol. 402, pp. 5–10. Doi: 10.1016/j.nimb.2017.02.081

The authors declare that there are no conflicts of interest present.