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Application of New Approximations of the Lateral Distribution of EAS Cherenkov Light in the Atmosphere

  • Mathematical Modeling in Nuclear Technologies
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Abstract

A new knee-like approximation of the lateral distribution function (LDF) of EAS Cherenkov light in the 30–3000 TeV energy range was proposed and tested with simulated showers in our earlier studies. This approximation fits the LDFs of individual showers accurately for all types of primary particles gamma-rays, protons, and nuclei) and is suitable for reconstructing the shower core, determining the energy, and separating gamma-induced showers from hadron-induced ones. In the present study, the knee-like fitting function is used to determine the parameters of real showers detected by TAIGA-HiSCORE. It is demonstrated that this approximation characterizes properly all types of individual LDFs of experimental events in the 300–1000 TeV range. The accuracy of fit is governed by fluctuations intrinsic to the process of measurement of the Cherenkov photon density. The probability density function of these fluctuations was reconstructed and introduced into simulations. Certain useful methodical applications of the knee-like approximation are con-sidered, and the possibility of shower sorting into nuclei groups is examined. The extensive statistical coverage and detailed LDF measurement data of HiSCORE have provided the first opportunity to examine in depth the LDF of Cherenkov radiation in the 300–1000 TeV range.

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References

  1. T. C. Weekes, M. F. Cawley, D. J. Fegan, et al., Astrophys. J. 342, 379 (1989).

    Article  ADS  Google Scholar 

  2. K. Meagher VERITAS Collab.), in Proceedings of the 36th Cosmic Ray International Conference, July 30–Aug. 6, 2015, The Hague, Netherlands (2016), p. 792.

    Google Scholar 

  3. J. Aleksić, J. High Energy Astrophys. 5–6, 30 (2015). doi 10.1016/j.jheap.2015.01.002

    Google Scholar 

  4. A. Karle et al., Astropart. Phys. 3, 321 (1995).

    Article  ADS  Google Scholar 

  5. M. Tluczykont et al., Astropart. Phys. 56, 42 (2014).

    Article  ADS  Google Scholar 

  6. M. Tluczykont, D. Hampf, D. Horns, et al., Adv. Space Res. 48, 1935 (2011).

    Article  ADS  Google Scholar 

  7. L. Kuzmichev (TAIGA Collab.), EPJ Web Conf. 145, 01001 (2017).

    Article  Google Scholar 

  8. N. Budnev, et al., J. Phys.: Conf. Ser. 718, 052006 (2016).

    Google Scholar 

  9. V. V. Prosin, S. F. Berezhnev, N. M. Budnev, et al., Nucl. Instrum. Methods Phys. Res., Sect. A 6, 94 (2014).

    Article  ADS  Google Scholar 

  10. V. V. Prosin, EPJ Web Conf. 99, 04002 (2015).

    Article  Google Scholar 

  11. E. Korosteleva et al., in Proceedings of the 28th Cosmic Ray International Conference, July 31–Aug. 7, 2003, Tsukuba, Japan (Universal Academy Press, Tokyo, 2003), p. 89.

    Google Scholar 

  12. J. R. Patterson and A. M. Hillas, J. Phys. G 9, 1433 (1983).

    Article  ADS  Google Scholar 

  13. S. Berezhnev et al., Nucl. Instrum. Methods Phys. Res., Sect. A 692, 98 (2012).

    Article  ADS  Google Scholar 

  14. A. Elshoukrofy, E. B. Postnikov, E. E. Korosteleva, L. G. Sveshnikova, and H. A. Motaweh, Bull. Russ. Acad. Sci.: Phys. 81, 453 (2017).

    Article  Google Scholar 

  15. A. Sh. M. Elshoukrofy et al., EPJ Web Conf. 145, 19006 (2017).

    Article  Google Scholar 

  16. A. Sh. M. Elshoukrofy, J. Phys.: Conf. Ser. 798, 012184 (2017).

    Google Scholar 

  17. J. Hoerandel, Astropart. Phys. 199, 193 (2003).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Skobeltsyn Institute of Nuclear Physics, Moscow State University, Moscow, 119991, Russia

    A. Sh. M. Elshoukrofy, E. B. Postnikov, N. N. Kalmykov, N. I. Karpov, V. A. Kozhin, E. E. Korosteleva, L. A. Kuzmichev, N. B. Lubsandorzhiev, E. A. Osipova, M. I. Panasyuk, E. G. Popova, V. V. Prosin, L. G. Sveshnikova, A. A. Silaev, A. A. Silaev Jr., A. V. Skurikhin & V. P. Sulakov

  2. Damanhour University, Damanhour, Egypt

    A. Sh. M. Elshoukrofy & H. A. Motaweh

  3. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, 115409, Russia

    I. I. Astapov, V. V. Kindin, R. P. Kokoulin, K. G. Kompaniets, A. A. Petrukhin & I. I. Yashin

  4. Research Institute of Applied Physics, Irkutsk State Universiry, Irkutsk, 664020, Russia

    P. A. Bezyazeekov, N. M. Budnev, A. R. Gafarov, O. A. Gress, T. I. Gress, O. G. Grishin, A. N. Dyachok, A. V. Zagorodnikov, V. L. Zurbanov, A. L. Ivanova, Y. A. Kazarina, S. N. Kiryuhin, L. A. Kuzmichev, V. V. Lenok, R. R. Mirgazov, R. D. Monkhoev, L. V. Pankov, A. L. Pakhorukov, V. A. Poleschuk, A. A. Pushnin, V. S. Samoliga, Yu. A. Semeney, V. A. Tabolenko, B. A. Tarashansky & O. L. Fedorov

  5. Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    V. Boreyko, A. N. Borodin, N. V. Gorbunov, V. M. Grebenyuk, A. A. Grinyuk, Ya. I. Sagan, M. Slunecka, L. G. Tkachev & A. V. Tkachenko

  6. Deutsches Elektronen-Synchrotron DESY, Zeuthen, D-15738, Germany

    R. Wischnewski, A. Porelli & C. Spiering

  7. Novosibirsk State University, Novosibirsk, 630090, Russia

    A. Y. Garmash & A. V. Sokolov

  8. Budker Institute of Nuclear Physics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    A. Y. Garmash, P. S. Kirilenko, E. A. Kravchenko & A. V. Sokolov

  9. Institut für Experimentalphysik, Universität Hamburg, D-22761, Hamburg, Germany

    E. A. Kravchenko, M. Kunnas, R. Nachtigall, M. Tluczykont & D. Horns

  10. Physics Department, University of Torino, Turin, 10125, Italy

    A. Chiavassa

  11. National Institute of Nuclear Physics INFN, Turin, 10125, Italy

    A. Chiavassa

  12. Altai State University, Barnaul, 656049, Russia

    A. A. Lagutin & R. I. Raikin

  13. Institute for Nuclear Research, Russian Academy of Sciences, Moscow, 117312, Russia

    B. K. Lubsandorzhiev, G. I. Rubtsov & A. Y. Sidorenkov

  14. Max Planck Institute for Physics, München, D-80805, Germany

    R. Mirzoyan

  15. Institute of Space Science, Bucharest, 050107, Romania

    M. Popesku

  16. Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation, Russian Academy of Sciences, Troitsk, Moscow oblast, 108840, Russia

    V. S. Ptuskin

Authors
  1. A. Sh. M. Elshoukrofy
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  2. E. B. Postnikov
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  3. I. I. Astapov
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  4. P. A. Bezyazeekov
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  5. V. Boreyko
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  6. A. N. Borodin
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  7. N. M. Budnev
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  8. R. Wischnewski
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  9. A. Y. Garmash
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  10. A. R. Gafarov
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  11. N. V. Gorbunov
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  12. V. M. Grebenyuk
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  13. O. A. Gress
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  14. T. I. Gress
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  15. A. A. Grinyuk
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  16. O. G. Grishin
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  17. A. N. Dyachok
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  18. A. V. Zagorodnikov
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  19. V. L. Zurbanov
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  20. A. L. Ivanova
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  21. Y. A. Kazarina
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  22. N. N. Kalmykov
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  23. N. I. Karpov
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  24. V. V. Kindin
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  25. P. S. Kirilenko
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  26. S. N. Kiryuhin
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  27. V. A. Kozhin
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  28. R. P. Kokoulin
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  29. K. G. Kompaniets
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  30. E. E. Korosteleva
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  31. E. A. Kravchenko
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  32. L. A. Kuzmichev
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  33. M. Kunnas
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  34. A. Chiavassa
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  35. A. A. Lagutin
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  36. V. V. Lenok
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  37. B. K. Lubsandorzhiev
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  38. N. B. Lubsandorzhiev
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  39. R. R. Mirgazov
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  40. R. Mirzoyan
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  41. R. D. Monkhoev
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  42. H. A. Motaweh
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  43. R. Nachtigall
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  44. E. A. Osipova
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  45. M. I. Panasyuk
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  46. L. V. Pankov
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  47. A. L. Pakhorukov
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  48. A. A. Petrukhin
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  49. V. A. Poleschuk
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  50. M. Popesku
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  51. E. G. Popova
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  52. A. Porelli
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  53. V. V. Prosin
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  54. V. S. Ptuskin
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  55. A. A. Pushnin
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  56. R. I. Raikin
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  57. G. I. Rubtsov
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  58. Ya. I. Sagan
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  59. V. S. Samoliga
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  60. L. G. Sveshnikova
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  61. Yu. A. Semeney
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  62. A. Y. Sidorenkov
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  63. A. A. Silaev
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  64. A. A. Silaev Jr.
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  65. A. V. Skurikhin
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  66. M. Slunecka
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  67. A. V. Sokolov
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  68. V. P. Sulakov
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  69. V. A. Tabolenko
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  70. B. A. Tarashansky
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  71. L. G. Tkachev
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  72. A. V. Tkachenko
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  73. M. Tluczykont
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  74. O. L. Fedorov
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  75. D. Horns
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  76. C. Spiering
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  77. I. I. Yashin
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Corresponding author

Correspondence to E. B. Postnikov.

Additional information

Original Russian Text © A.Sh.M. Elshoukrofy, E.B. Postnikov, I.I. Astapov, P.A. Bezyazeekov, V. Boreyko, A.N. Borodin, N.M. Budnev, R. Wischnewski, A.Y. Garmash, A.R. Gafarov, N.V. Gorbunov, V.M. Grebenyuk, O.A. Gress, T.I. Gress, A.A. Grinyuk, O.G. Grishin, A.N. Dyachok, A.V. Zagorodnikov, V.L. Zurbanov, A.L. Ivanova, Y.A. Kazarina, N.N. Kalmykov, N.I. Karpov, V.V. Kindin, P.S. Kirilenko, S.N. Kiryuhin, V.A. Kozhin, R.P. Kokoulin, K.G. Kompaniets, E.E. Korosteleva, E.A. Kravchenko, L.A. Kuzmichev, M. Kunnas, A. Chiavassa, A.A. Lagutin, V.V. Lenok, B.K. Lubsandorzhiev, N.B. Lubsandorzhiev, R.R. Mirgazov, R. Mirzoyan, R.D. Monkhoev, H.A. Motaweh, R. Nachtigall, E.A. Osipova, M.I. Panasyuk, L.V. Pankov, A.L. Pakhorukov, A.A. Petrukhin, V.A. Poleschuk, M. Popesku, E.G. Popova, A. Porelli, V.V. Prosin, V.S. Ptuskin, A.A. Pushnin, R.I. Raikin, G.I. Rubtsov, Ya.I. Sagan, V.S. Samoliga, L.G. Sveshnikova, Yu.A. Semeney, A.Y. Sidorenkov, A.A. Silaev, A.A. Silaev Jr., A.V. Skurikhin, M. Slunecka, A.V. Sokolov, V.P. Sulakov, V.A. Tabolenko, B.A. Tarashansky, L.G. Tkachev, A.V. Tkachenko, M. Tluczykont, O.L. Fedorov, D. Horns, C. Spiering, I.I. Yashin, 2017, published in Yadernaya Fizika i Inzhiniring, 2017, Vol. 8, No. 4, pp. 311–318.

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Elshoukrofy, A.S.M., Postnikov, E.B., Astapov, I.I. et al. Application of New Approximations of the Lateral Distribution of EAS Cherenkov Light in the Atmosphere. Phys. Atom. Nuclei 81, 1294–1300 (2018). https://doi.org/10.1134/S1063778818090090

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