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The energy spectrum of muons produced in air showers depends not only on the properties of the primary particle, but also on the atmosphere. This is because of the competition between decay and interaction of the parent mesons, which…

High Energy Astrophysical Phenomena · Physics 2025-09-22 Stef Verpoest , Marisol Catalan Olais , Frank Schroeder

Measurements of the muon content of extensive air showers at the highest energies show discrepancies compared to simulations as large as the differences between proton and iron. This so-called muon puzzle is commonly attributed to a lack of…

High Energy Astrophysical Phenomena · Physics 2022-09-21 Maximilian Reininghaus , Ralf Ulrich , Tanguy Pierog

An analysis of muon and hadron rates observed in the central detector of the KASCADE experiment has been carried out. The data are compared to CORSIKA simulations employing the high-energy hadronic interaction models QGSJET, DPMJET, HDPM,…

Astrophysics · Physics 2008-11-26 KASCADE Collaboration , T. Antoni , M. Risse

The paper presents data on the muon component with a threshold \(\varepsilon_{thr} \geq\) 1 GeV. Air showers were registered at the Yakutsk array during almost 50 years of continuous air shower observations. The characteristics of muons are…

High Energy Astrophysical Phenomena · Physics 2022-11-29 Stanislav Knurenko , Igor Petrov

The mass composition of ultra-high-energy cosmic rays (UHECRs) is usually inferred from the depth of the shower maximum ($X_{\rm{max}}$) of cosmic-ray showers, which is only ambiguously determined by modern hadronic interaction models. We…

High Energy Astrophysical Phenomena · Physics 2026-01-09 Jakub Vícha , Alena Bakalová , Ana L. Müller , Olena Tkachenko , Maximilian K. Stadelmaier

The distribution of depth in which a cosmic ray air shower reaches its maximum number of particles ($X_{max}$) is studied and parametrized. Three functions are studied for proton, carbon, silicon, and iron primary particles with energies…

High Energy Astrophysical Phenomena · Physics 2021-06-01 Luan Arbeletche , Vitor de Souza

Ground based observations appear to indicate that Ultra High Energy Cosmic Rays (UHECR) of the highest energies (>10^{18.7} eV) consist of heavy particles -- shower depth and muon production data both pointing towards this conclusion. On…

High Energy Astrophysical Phenomena · Physics 2025-09-18 S. Romanopoulos , V. Pavlidou , T. Tomaras

An analysis has been made of the present situation with the high energy hadron-nucleus and nucleus-nucleus interaction models. As is already known there are inconsistencies in the interpretation of experimental data on the primary mass…

Astrophysics · Physics 2009-11-07 A. D. Erlykin , A. W. Wolfendale

The determination of the primary energy and mass of ultra-high-energy cosmic-rays (UHECR) generating extensive air-showers in the Earth's atmosphere, relies on the detailed modeling of hadronic multiparticle production at center-of-mass…

High Energy Astrophysical Phenomena · Physics 2015-05-27 David d'Enterria , Ralph Engel , Tanguy Pierog , Sergey Ostapchenko , Klaus Werner

We extend a quantum kinetic approach to the description of hadronic showers in space, time and momentum space to deep-inelastic $ep$ collisions, with particular reference to experiments at HERA. We follow the history of hard scattering…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Klaus Geiger , Henryk Kowalski

Since a number of years the QGSJET model has been successfully used by different groups in the field of high energy cosmic rays. Current work is devoted to the first general update of the model. The key improvement is connected to an…

High Energy Physics - Phenomenology · Physics 2015-06-25 S. Ostapchenko

We study in this paper the production, in hadronic collisions, of final states with W gauge bosons, heavy quark pairs and n extra jets (with n up to 4). The complete partonic tree-level QCD matrix elements are evaluated using the ALPHA…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michelangelo L. Mangano , Mauro Moretti , Roberto Pittau

The model dependence of the development of extensive air showers generated by high-energy cosmic-ray particles in the atmosphere is studied. The increase of proton-proton and proton-air inelastic cross-sections and values for the elasticity…

Astrophysics · Physics 2008-11-26 Joerg R. Hoerandel

Using CORSIKA for simulating extensive air showers, we study the relation between the shower characteristics and features of hadronic multiparticle production at low energies. We report about investigations of typical energies and phase…

Astrophysics · Physics 2007-05-23 C. Meurer , J. Bluemer , R. Engel , A. Haungs , M. Roth

The Pierre Auger Observatory in Argentina provides the largest data sample of the cosmic ray events with energy above 10$^{18}$ eV. These high energy events can be used to test our understanding of the hadronic interactions at energies…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Petr Travnicek

One of the uncertainties in interpretation of ultra-high energy cosmic ray (UHECR) data comes from the hadronic interaction models used for air shower Monte Carlo (MC) simulations. The number of muons observed at the ground from…

High Energy Astrophysical Phenomena · Physics 2018-07-11 Telescope Array Collaboration , R. U. Abbasi , M. Abe , T. Abu-Zayyad , M. Allen , R. Azuma , E. Barcikowski , J. W. Belz , D. R. Bergman , S. A. Blake , R. Cady , B. G. Cheon , J. Chiba , M. Chikawa , A. Di Matteo , T. Fujii , K. Fujita , M. Fukushima , G. Furlich , T. Goto , W. Hanlon , M. Hayashi , Y. Hayashi , N. Hayashida , K. Hibino , K. Honda , D. Ikeda , N. Inoue , T. Ishii , R. Ishimori , H. Ito , D. Ivanov , H. M. Jeong , S. M. Jeong , C. C. H. Jui , K. Kadota , F. Kakimoto , O. Kalashev , K. Kasahara , H. Kawai , S. Kawakami , S. Kawana , K. Kawata , E. Kido , H. B. Kim , J. H. Kim , J. H. Kim , S. Kishigami , S. Kitamura , Y. Kitamura , V. Kuzmin , M. Kuznetsov , Y. J. Kwon , K. H. Lee , B. Lubsandorzhiev , J. P. Lundquist , K. Machida , K. Martens , T. Matsuyama , J. N. Matthews , R. Mayta , M. Minamino , K. Mukai , I. Myers , K. Nagasawa , S. Nagataki , R. Nakamura , T. Nakamura , T. Nonaka , H. Oda , S. Ogio , J. Ogura , M. Ohnishi , H. Ohoka , T. Okuda , Y. Omura , M. Ono , R. Onogi , A. Oshima , S. Ozawa , I. H. Park , M. S. Pshirkov , J. Remington , D. C. Rodriguez , G. Rubtsov , D. Ryu , H. Sagawa , R. Sahara , K. Saito , Y. Saito , N. Sakaki , N. Sakurai , L. M. Scott , T. Seki , K. Sekino , P. D. Shah , F. Shibata , T. Shibata , H. Shimodaira , B. K. Shin , H. S. Shin , J. D. Smith , P. Sokolsky , B. T. Stokes , S. R. Stratton , T. A. Stroman , T. Suzawa , Y. Takagi , Y. Takahashi , M. Takamura , M. Takeda , R. Takeishi , A. Taketa , M. Takita , Y. Tameda , H. Tanaka , K. Tanaka , M. Tanaka , S. B. Thomas , G. B. Thomson , P. Tinyakov , I. Tkachev , H. Tokuno , T. Tomida , S. Troitsky , Y. Tsunesada , K. Tsutsumi , Y. Uchihori , S. Udo , F. Urban , T. Wong , M. Yamamoto , R. Yamane , H. Yamaoka , K. Yamazaki , J. Yang , K. Yashiro , Y. Yoneda , S. Yoshida , H. Yoshii , Y. Zhezher , Z. Zundel

The development of extensive air showers at extreme energies is studied using a simulation model much simpler and cruder, but also more transparent and flexible, than existing sophisticated codes. Evidence for its satisfactory performance…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Do Thi Hoai , Pham Ngoc Diep , Pierre Darriulat , Pham Tuan Anh , Pham Ngoc Dong , Nguyen Van Hiep , Pham Thi Tuyet Nhung , Nguyen Thi Thao

In this report we review the important progress made in recent years towards understanding the experimental data on ultra-high-energy ($E \gtrsim 10^9$ GeV) cosmic rays. We begin with a general survey of the available data, including a…

High Energy Astrophysical Phenomena · Physics 2019-05-22 Luis A. Anchordoqui

The aim of the Pierre Auger Observatory is the investigation of the nature of cosmic ray particles at ultra-high energies. It can simultaneously observe the longitudinal air shower development in the atmosphere as well as particle densities…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Ralf Ulrich