Abstract
Modeling the deflection of protons and π−-mesons in axial and planar channels of a bent silicon crystal was performed by numerically solving the kinetic Fokker-Planck equation in the space of transverse coordinates and velocities, as well as in the space of transverse energies. We discuss the reasons of forming an angular distribution with two maxima for the beam of π−-mesons under planar channeling in a silicon crystal that was obtained as a result of simulation in our previous work. The modeling results in the space of transverse energies and in the phase space of transverse coordinates and velocities prove to be in rather good agreement for protons, but are somewhat different for π−-mesons.
Similar content being viewed by others
References
W. Scandale, A. Vomiero, E. Bagli, et al., Phys. Lett. A 680, 301 (2009).
W. Scandale, A. Vomiero, E. Bagli, et al., Phys. Lett. A 681, 233 (2009).
W. Scandale, A. Vomiero, S. Baricordi, et al., Phys. Rev. Lett. 101, 164801 (2008).
V. P. Koshcheev, D. A. Morgun, and Yu. N. Shtanov, Tech. Phys. Lett. 38(6), 593 (2012).
M. Kitagawa and Y. H. Ohtsuki, Phys. Rev. 8(7), 3117–3123 (1973).
V. V. Beloshitskii, M. A. Kumakhov, and V. A. Ryabov, Sov. Phys. JETP 60(3), 498 (1984).
D. S. Gemmell, Rev. Mod. Phys. 46(1), 129 (1974).
V. P. Koshcheev, Russ. Phys. J. 40(8), 736 (1997).
V. P. Koshcheev, D. A. Morgun, and T. A. Panina Stochastic Dynamics of the Channeling Effect in Crystals and Nanotubes (Poligrafist, Khanty-Mansiisk, 2008) [in Russian].
K.V. Gardiner, Stochastic Methods in Natural Sciences (Springer, Berlin, 1985).
S. M. Rytov, Introduction to Statistical Radiophysics. Part 1. Random Processes (Nauka, Moscow, 1976) [in Russian].
V. P. Koshcheev and D. A. Morgun, J. Surf. Investig.: X-RAY, Synchrotr. Neutr. Techn. 14(5), 571 (1998).
V. P. Koshcheev, Izv. Vyssh. Uchebn. Zaved., Fiz. No. 4, 123–124 (1990).
G. Marsaglia and T. A. Bray, SIAM Rev. 6(3), 260–264 (1964).
G. Molière, Z. Naturforsch. A 2, 133–145 (1947).
V. A. Bazylev, V. I. Glebov, and V. V. Goloviznin, Sov. Phys. JETP 64(1), 14 (1986).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.P. Koshcheev, D.A. Morgun, Yu.N. Shtanov, 2013, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2013, Vol. 39, No. 20, pp. 77–86.
Rights and permissions
About this article
Cite this article
Koshcheev, V.P., Morgun, D.A. & Shtanov, Y.N. Modeling the deflection of relativistic particles in axial and planar channels of a silicon crystal. Tech. Phys. Lett. 39, 924–927 (2013). https://doi.org/10.1134/S1063785013100210
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063785013100210