Abstract
Using a new [9, 10] quantum theory of Vavilov–Cherenkov radiation (VCR) based on Abraham’s theory, we show that a threshold VCR effect can be excited by the relic photon gas when relativistic charged cosmic-ray particles with γ ≥ γth ≈ 1.9 × 1010 (where γ–2 = 1–v 2/c 2, v is the particle speed, and c is the speed of light in a vacuum) pass through it. This is compatible with the well-known GZK cutoff [7, 8] at γ ≈ 1011. We have obtained the condition γ > γth ≈ 2.1 × 102 for the appearance of VCR when a sufficiently fast charged particle (an electron, a proton, or a nucleus) passes through intense laser radiation. This condition ensures that VCR can be observed experimentally (e.g., on the Large Hadron Collider) without invoking any additional conditions required from the currently existing estimate of γth > 8.8 × 104 [13] based on the now universally accepted quantum theory of VCR, which follows from Minkowski’s theory (and which gives an estimate of γ > 1021 when excited by the relic photon gas).
Similar content being viewed by others
References
Ya. B. Zel’dovich and I. D. Novikov, The Structure and Evolution of the Universe (Nauka, Moscow, 1975) [in Russian].
I. M. Dremin, JETP Lett. 75, 167 (2002).
M. Marklund, G. Brodin, L. Stenflo, and P. K. Shukla, New J. Phys. 7, 70 (2005).
I. E. Tamm, Collection of Scientific Works (Moscow, 1975), Vol. 1, p. 79 [in Russian]
I. E. Tamm, J. Phys. USSR 1, 439 (1939).
I. M. Frank, Usp. Fiz. Nauk 68, 397 (1959).
V. L. Ginzburg, Phys. Usp. 39, 973 (1996).
K. Greisen, Phys. Rev. Lett. 16, 748 (1966).
G. T. Zatsepin and V. A. Kuz’min, JETP Lett. 4, 78 (1966).
S. G. Chefranov, J. Exp. Theor. Phys. 99, 296 (2004).
S. G. Chefranov, Phys. Rev. Lett. 93, 254804 (2004).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 8: Electrodynamics of Continuous Media (Nauka, Moscow, 1982; Pergamon, New York, 1984).
V. L. Ginzburg, Theoretical Physics and Astrophysics (Nauka, Moscow, 1975; Pergamon, Oxford, 1979).
I. M. Dremin, JETP Lett. 76, 151 (2002).
S. M. Barnett, Phys. Rev. Lett. 104, 070401 (2010).
Z. Bialynicka-Birula and I. Bialynicki-Birula, Phys. Rev. D 2, 2341 (1970).
M. Marklund, G. Brodin, and L. Stenflo, Phys. Rev. Lett. 91, 163601 (2003).
J. E. Felton, Phys. Rev. Lett. 15, 1003 (1965).
A. V. Glushkov, JETP Lett. 75, 1 (2002).
A. V. Glushkov, J. Exp. Theor. Phys. 109, 770 (2009).
P. de Bernardis, P. A. R. Ade, J. J. Bock, et al., Nature 404, 955 (2000).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © S.G. Chefranov, 2016, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 150, No. 1, pp. 18–22.
Rights and permissions
About this article
Cite this article
Chefranov, S.G. Vavilov–Cherenkov radiation when cosmic rays pass through the relic photon gas and when fast charged particles traverse an optical laser beam. J. Exp. Theor. Phys. 123, 12–16 (2016). https://doi.org/10.1134/S1063776116050046
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776116050046