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


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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.

About the authors

A. Sh. M. Elshoukrofy

Skobeltsyn Institute of Nuclear Physics; Damanhour University

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991; Damanhour

E. B. Postnikov

Skobeltsyn Institute of Nuclear Physics

Author for correspondence.
Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

I. I. Astapov

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 115409

P. A. Bezyazeekov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

V. Boreyko

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

A. N. Borodin

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

N. M. Budnev

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

R. Wischnewski

Deutsches Elektronen-Synchrotron DESY

Email: evgeny.post@gmail.com
Germany, Zeuthen, D-15738

A. Y. Garmash

Novosibirsk State University; Budker Institute of Nuclear Physics, Siberian Branch

Email: evgeny.post@gmail.com
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

A. R. Gafarov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

N. V. Gorbunov

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

V. M. Grebenyuk

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

O. A. Gress

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

T. I. Gress

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

A. A. Grinyuk

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

O. G. Grishin

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

A. N. Dyachok

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

A. V. Zagorodnikov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

V. L. Zurbanov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

A. L. Ivanova

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

Y. A. Kazarina

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

N. N. Kalmykov

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

N. I. Karpov

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

V. V. Kindin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 115409

P. S. Kirilenko

Budker Institute of Nuclear Physics, Siberian Branch

Email: evgeny.post@gmail.com
Russian Federation, Novosibirsk, 630090

S. N. Kiryuhin

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

V. A. Kozhin

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

R. P. Kokoulin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 115409

K. G. Kompaniets

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 115409

E. E. Korosteleva

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

E. A. Kravchenko

Budker Institute of Nuclear Physics, Siberian Branch; Institut für Experimentalphysik

Email: evgeny.post@gmail.com
Russian Federation, Novosibirsk, 630090; Hamburg, D-22761

L. A. Kuzmichev

Skobeltsyn Institute of Nuclear Physics; Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991; Irkutsk, 664020

M. Kunnas

Institut für Experimentalphysik

Email: evgeny.post@gmail.com
Germany, Hamburg, D-22761

A. Chiavassa

Physics Department; National Institute of Nuclear Physics INFN

Email: evgeny.post@gmail.com
Italy, Turin, 10125; Turin, 10125

A. A. Lagutin

Altai State University

Email: evgeny.post@gmail.com
Russian Federation, Barnaul, 656049

V. V. Lenok

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

B. K. Lubsandorzhiev

Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 117312

N. B. Lubsandorzhiev

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

R. R. Mirgazov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

R. Mirzoyan

Max Planck Institute for Physics

Email: evgeny.post@gmail.com
Germany, München, D-80805

R. D. Monkhoev

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

H. A. Motaweh

Damanhour University

Email: evgeny.post@gmail.com
Egypt, Damanhour

R. Nachtigall

Institut für Experimentalphysik

Email: evgeny.post@gmail.com
Germany, Hamburg, D-22761

E. A. Osipova

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

M. I. Panasyuk

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

L. V. Pankov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

A. L. Pakhorukov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

A. A. Petrukhin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 115409

V. A. Poleschuk

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

M. Popesku

Institute of Space Science

Email: evgeny.post@gmail.com
Romania, Bucharest, 050107

E. G. Popova

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

A. Porelli

Deutsches Elektronen-Synchrotron DESY

Email: evgeny.post@gmail.com
Germany, Zeuthen, D-15738

V. V. Prosin

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

V. S. Ptuskin

Pushkov Institute of Terrestrial Magnetism, Ionosphere, and Radio Wave Propagation

Email: evgeny.post@gmail.com
Russian Federation, Troitsk, Moscow oblast, 108840

A. A. Pushnin

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

R. I. Raikin

Altai State University

Email: evgeny.post@gmail.com
Russian Federation, Barnaul, 656049

G. I. Rubtsov

Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 117312

Ya. I. Sagan

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

V. S. Samoliga

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

L. G. Sveshnikova

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

Yu. A. Semeney

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

A. Y. Sidorenkov

Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 117312

A. A. Silaev

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

A. A. Silaev

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

A. V. Skurikhin

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

M. Slunecka

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

A. V. Sokolov

Novosibirsk State University; Budker Institute of Nuclear Physics, Siberian Branch

Email: evgeny.post@gmail.com
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

V. P. Sulakov

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 119991

V. A. Tabolenko

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

B. A. Tarashansky

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

L. G. Tkachev

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

A. V. Tkachenko

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
Russian Federation, Dubna, Moscow oblast, 141980

M. Tluczykont

Institut für Experimentalphysik

Email: evgeny.post@gmail.com
Germany, Hamburg, D-22761

O. L. Fedorov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
Russian Federation, Irkutsk, 664020

D. Horns

Institut für Experimentalphysik

Email: evgeny.post@gmail.com
Germany, Hamburg, D-22761

C. Spiering

Deutsches Elektronen-Synchrotron DESY

Email: evgeny.post@gmail.com
Germany, Zeuthen, D-15738

I. I. Yashin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
Russian Federation, Moscow, 115409

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