Abstract
Emission by 120-GeV positrons in the channeling regime in the (011) plane of a silicon single crystal has been considered. Trajectories of positrons under different initial conditions have been calculated within the theory of nonlinear oscillations. The amplitude distribution function of channeled particles has been determined taking into account the nonlinearity of their motion. The intensity of radiation under various initial conditions has been calculated by two different methods. These results can be useful for comparison with experimental data at energies of positrons beginning with 100 GeV and higher.
Similar content being viewed by others
References
V. N. Baier, V. M. Katkov, and V. M. Strakhovenko, Electromagnetic Processes at High Energy in Oriented Single Crystals (Nauka, Novosibirsk, 1989) [in Russian].
J. Bak, J. A. Ellison, B. Marsh, F. E. Meyer, O. Pedersen, J. B. B. Petersen, E. Uggerhoj, K. Ostergaard, S. P. Moller, A. H. Sorensen, and M. Suffert, Nucl. Phys. B 254, 491 (1985).
E. N. Tsyganov, Sov. J. Part. Nucl. 20, 1 (1989).
A. Apyan, R. O. Avakian, B. Badelek, et al., Phys. Rev. ST Accel. Beams 11, 041001 (2008).
D. Lietti, E. Bagli, S. Baricordi, et al., Nucl. Instrum. Methods Phys. Res. B 283, 84 (2012).
V. A. Maisheev, Nucl. Instrum. Methods Phys. Res. B 119, 42 (1996).
N. N. Bogoliubov and Yu. A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations (Nauka, Moscow, 1974; Gordon and Breach, London, 1961).
S. Bellucci and V. A. Maisheev, Nucl. Instrum. Methods Phys. Res. B 252, 339 (2006).
A. J. Lichtenberg and M. A. Lieberman, Regular and Stochastic Motion (Springer, New York, 1983; Mir, Moscow, 1984).
A. V. Gaponov-Grekhov and M. I. Rabinovich, in Physics of 20th Century. Development and Prospects, Collection of Articles (Nauka, Moscow, 1984), p. 219 [in Russian].
F. Vivaldi, Rev. Mod. Phys. 56, 737 (1984).
B. V. Chirikov, Priroda, No. 4 (1982).
V. A. Arnold, Mathematical Methods of Classical Mechanics, Vol. 60 of Graduate Texts in Mathematics (Nauka, Moscow, 1972; Springer, New York, 1989).
H. Poincare, New Methods of Celestial Mechanics, Vol. 13 of History of Modern Physics and Astronomy (Am. Inst. of Physics, New York, 1992), Vol. 2, Chap. 33.
S. Bellucci and V. A. Maisheev, J. Phys.: Condens. Matter 18, S2083 (2006).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1988; Pergamon, Oxford, 1975).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.A. Maisheev, Yu.A. Chesnokov, P.N. Chirkov, I.A. Yazynin, D. Bolognini, S. Hasan, M. Prest, E. Vallazza, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 149, No. 5, pp. 932–943.
Rights and permissions
About this article
Cite this article
Maisheev, V.A., Chesnokov, Y.A., Chirkov, P.N. et al. Emission of photons by positrons channeled in single crystals near an energy of 100 GeV. J. Exp. Theor. Phys. 122, 802–812 (2016). https://doi.org/10.1134/S106377611604018X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S106377611604018X