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


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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.

作者简介

A. Elshoukrofy

Skobeltsyn Institute of Nuclear Physics; Damanhour University

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991; Damanhour

E. Postnikov

Skobeltsyn Institute of Nuclear Physics

编辑信件的主要联系方式.
Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

I. Astapov

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 115409

P. Bezyazeekov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

V. Boreyko

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

A. Borodin

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

N. Budnev

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

R. Wischnewski

Deutsches Elektronen-Synchrotron DESY

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

A. Garmash

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

Email: evgeny.post@gmail.com
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

A. Gafarov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

N. Gorbunov

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

V. Grebenyuk

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

O. Gress

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

T. Gress

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

A. Grinyuk

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

O. Grishin

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

A. Dyachok

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

A. Zagorodnikov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

V. Zurbanov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

A. Ivanova

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

Y. Kazarina

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

N. Kalmykov

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

N. Karpov

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

V. Kindin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 115409

P. Kirilenko

Budker Institute of Nuclear Physics, Siberian Branch

Email: evgeny.post@gmail.com
俄罗斯联邦, Novosibirsk, 630090

S. Kiryuhin

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

V. Kozhin

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

R. Kokoulin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 115409

K. Kompaniets

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 115409

E. Korosteleva

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

E. Kravchenko

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

Email: evgeny.post@gmail.com
俄罗斯联邦, Novosibirsk, 630090; Hamburg, D-22761

L. Kuzmichev

Skobeltsyn Institute of Nuclear Physics; Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991; Irkutsk, 664020

M. Kunnas

Institut für Experimentalphysik

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

A. Chiavassa

Physics Department; National Institute of Nuclear Physics INFN

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

A. Lagutin

Altai State University

Email: evgeny.post@gmail.com
俄罗斯联邦, Barnaul, 656049

V. Lenok

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

B. Lubsandorzhiev

Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 117312

N. Lubsandorzhiev

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

R. Mirgazov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

R. Mirzoyan

Max Planck Institute for Physics

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

R. Monkhoev

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

H. Motaweh

Damanhour University

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

R. Nachtigall

Institut für Experimentalphysik

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

E. Osipova

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

M. Panasyuk

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

L. Pankov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

A. Pakhorukov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

A. Petrukhin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 115409

V. Poleschuk

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

M. Popesku

Institute of Space Science

Email: evgeny.post@gmail.com
罗马尼亚, Bucharest, 050107

E. Popova

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

A. Porelli

Deutsches Elektronen-Synchrotron DESY

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

V. Prosin

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

V. Ptuskin

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

Email: evgeny.post@gmail.com
俄罗斯联邦, Troitsk, Moscow oblast, 108840

A. Pushnin

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

R. Raikin

Altai State University

Email: evgeny.post@gmail.com
俄罗斯联邦, Barnaul, 656049

G. Rubtsov

Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 117312

Ya. Sagan

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

V. Samoliga

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

L. Sveshnikova

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

Yu. Semeney

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

A. Sidorenkov

Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 117312

A. Silaev

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

A. Silaev

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

A. Skurikhin

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

M. Slunecka

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

A. Sokolov

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

Email: evgeny.post@gmail.com
俄罗斯联邦, Novosibirsk, 630090; Novosibirsk, 630090

V. Sulakov

Skobeltsyn Institute of Nuclear Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 119991

V. Tabolenko

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

B. Tarashansky

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

L. Tkachev

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

A. Tkachenko

Joint Institute for Nuclear Research

Email: evgeny.post@gmail.com
俄罗斯联邦, Dubna, Moscow oblast, 141980

M. Tluczykont

Institut für Experimentalphysik

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

O. Fedorov

Research Institute of Applied Physics

Email: evgeny.post@gmail.com
俄罗斯联邦, Irkutsk, 664020

D. Horns

Institut für Experimentalphysik

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

C. Spiering

Deutsches Elektronen-Synchrotron DESY

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

I. Yashin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: evgeny.post@gmail.com
俄罗斯联邦, Moscow, 115409

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