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In this paper we review air shower data related to the mass composition of cosmic rays above 10$^{15}$ eV. After explaining the basic relations between air shower observables and the primary mass and energy of cosmic rays, we present…

High Energy Astrophysical Phenomena · Physics 2015-06-03 Karl-Heinz Kampert , Michael Unger

Based on solutions of the cascade equations, the air-shower universality is a framework that for all air showers with the same energy, zenith angle, depth of shower maximum, and muon number predicts the same longitudinal, lateral, and…

High Energy Astrophysical Phenomena · Physics 2025-09-15 Maximilian Stadelmaier

The spatial development of hadronic showers in the CALICE scintillator-steel analogue hadron calorimeter is studied using test beam data collected at CERN and FNAL for single positive pions and protons with initial momenta in the range from…

Instrumentation and Detectors · Physics 2016-07-13 The CALICE Collaboration , G. Eigen , T. Price , N. K. Watson , J. S. Marshall , M. A. Thomson , D. R. Ward , D. Benchekroun , A. Hoummada , Y. Khoulaki , J. Apostolakis , A. Dotti , G. Folger , V. Ivantchenko , A. Ribon , V. Uzhinskiy , J. -Y. Hostachy , L. Morin , E. Brianne , A. Ebrahimi , K. Gadow , P. Göttlicher , C. Günter , O. Hartbrich , B. Hermberg , A. Irles , F. Krivan , K. Krüger , J. Kvasnicka , S. Lu , B. Lutz , V. Morgunov , C. Neubüser , A. Provenza , M. Reinecke , F. Sefkow , S. Schuwalow , H. L. Tran , E. Garutti , S. Laurien , M. Matysek , M. Ramilli , S. Schroeder , K. Briggl , P. Eckert , Y. Munwes , H. -Ch. Schultz-Coulon , W. Shen , R. Stamen , B. Bilki , E. Norbeck , D. Northacker , Y. Onel , B. van Doren , G. W. Wilson , K. Kawagoe , H. Hirai , Y. Sudo , T. Suehara , H. Sumida , S. Takada , T. Tomita , T. Yoshioka , M. Wing , A. Bonnevaux , C. Combaret , L. Caponetto , G. Grenier , R. Han , J. C. Ianigro , R. Kieffer , I. Laktineh , N. Lumb , H. Mathez , L. Mirabito , A. Steen , J. Berenguer Antequera , E. Calvo Alamillo , M. -C. Fouz , J. Marin , J. Puerta-Pelayo , A. Verdugo , B. Bobchenko , O. Markin , E. Novikov , V. Rusinov , E. Tarkovsky , N. Kirikova , V. Kozlov , P. Smirnov , Y. Soloviev , D. Besson , P. Buzhan , M. Chadeeva , M. Danilov , A. Drutskoy , A. Ilyin , D. Mironov , R. Mizuk , E. Popova , M. Gabriel , P. Goecke , C. Kiesling , N. van der Kolk , F. Simon , M. Szalay , S. Bilokin , J. Bonis , P. Cornebise , R. Pöschl , F. Richard , A. Thiebault , D. Zerwas , M. Anduze , V. Balagura , E. Becheva , V. Boudry , J-C. Brient , J-B. Cizel , C. Clerc , R. Cornat , M. Frotin , F. Gastaldi , F. Magniette , P. Mora de Freitas , G. Musat , S. Pavy , M. Rubio-Roy , M. Ruan , H. Videau , S. Callier , F. Dulucq , G. Martin-Chassard , L. Raux , N. Seguin-Moreau , Ch. de la Taille , J. Cvach , P. Gallus , M. Havranek , M. Janata , D. Lednicky , M. Marcisovsky , I. Polak , J. Popule , L. Tomasek , M. Tomasek , P. Sicho , J. Smolik , V. Vrba , J. Zalesak , K. Kotera , H. Ono , T. Takeshita , S. Ieki , Y. Kamiya , W. Ootani , N. Shibata , D. Jeans , S. Komamiya , H. Nakanishi

The development of an extensive air shower depends not only on the nature of the primary ultra-high-energy cosmic ray but also on the properties of the hadronic interactions. For energies above those achievable in human-made accelerators,…

High Energy Astrophysical Phenomena · Physics 2022-06-23 Isabel Goos , : , P. Abreu , M. Aglietta , J. M. Albury , I. Allekotte , K. Almeida Cheminant , A. Almela , J. Alvarez-Muñiz , R. Alves Batista , J. Ammerman Yebra , G. A. Anastasi , L. Anchordoqui , B. Andrada , S. Andringa , C. Aramo , P. R. Araújo Ferreira , E. Arnone , J. C. Arteaga Velázquez , H. Asorey , P. Assis , G. Avila , E. Avocone , A. M. Badescu , A. Bakalova , A. Balaceanu , F. Barbato , J. A. Bellido , C. Berat , M. E. Bertaina , G. Bhatta , P. L. Biermann , V. Binet , K. Bismark , T. Bister , J. Biteau , J. Blazek , C. Bleve , J. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , L. Bonneau Arbeletche , N. Borodai , A. M. Botti , J. Brack , T. Bretz , P. G. Brichetto Orchera , F. L. Briechle , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , M. Büsken , K. S. Caballero-Mora , L. Caccianiga , F. Canfora , I. Caracas , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , J. A. Chinellato , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , A. Coleman , M. R. Coluccia , R. Conceição , A. Condorelli , G. Consolati , F. Contreras , F. Convenga , D. Correia dos Santos , C. E. Covault , S. Dasso , K. Daumiller , B. R. Dawson , J. A. Day , R. M. de Almeida , J. de Jesús , S. J. de Jong , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , D. de Oliveira Franco , F. de Palma , V. de Souza , E. De Vito , A. Del Popolo , M. del Río , O. Deligny , L. Deval , A. di Matteo , M. Dobre , C. Dobrigkeit , J. C. D'Olivo , L. M. Domingues Mendes , R. C. dos Anjos , M. T. Dova , J. Ebr , R. Engel , I. Epicoco , M. Erdmann , C. O. Escobar , A. Etchegoyen , H. Falcke , J. Farmer , G. Farrar , A. C. Fauth , N. Fazzini , F. Feldbusch , F. Fenu , B. Fick , J. M. Figueira , A. Filipčič , T. Fitoussi , T. Fodran , T. Fujii , A. Fuster , C. Galea , C. Galelli , B. García , A. L. Garcia Vegas , H. Gemmeke , F. Gesualdi , A. Gherghel-Lascu , P. L. Ghia , U. Giaccari , M. Giammarchi , J. Glombitza , F. Gobbi , F. Gollan , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , J. P. Gongora , J. M. González , N. González , I. Goos , D. Góra , A. Gorgi , M. Gottowik , T. D. Grubb , F. Guarino , G. P. Guedes , E. Guido , S. Hahn , P. Hamal , M. R. Hampel , P. Hansen , D. Harari , V. M. Harvey , A. Haungs , T. Hebbeker , D. Heck , G. C. Hill , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , A. Insolia , P. G. Isar , P. Janecek , J. A. Johnsen , J. Jurysek , A. Kääpä , K. H. Kampert , B. Keilhauer , A. Khakurdikar , V. V. Kizakke Covilakam , H. O. Klages , M. Kleifges , J. Kleinfeller , F. Knapp , N. Kunka , B. L. Lago , N. Langner , M. A. Leigui de Oliveira , V. Lenok , A. Letessier-Selvon , I. Lhenry-Yvon , D. Lo Presti , L. Lopes , R. López , L. Lu , Q. Luce , J. P. Lundquist , A. Machado Payeras , G. Mancarella , D. Mandat , B. C. Manning , J. Manshanden , P. Mantsch , S. Marafico , F. M. Mariani , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , S. Martinelli , O. Martínez Bravo , M. Mastrodicasa , H. J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , S. Mayotte , P. O. Mazur , G. Medina-Tanco , D. Melo , A. Menshikov , S. Michal , M. I. Micheletti , L. Miramonti , S. Mollerach , F. Montanet , L. Morejon , C. Morello , M. Mostafá , A. L. Müller , M. A. Muller , K. Mulrey , R. Mussa , M. Muzio , W. M. Namasaka , A. Nasr-Esfahani , L. Nellen , G. Nicora , M. Niculescu-Oglinzanu , M. Niechciol , D. Nitz , I. Norwood , D. Nosek , V. Novotny , L. Nožka , A Nucita , L. A. Núñez , C. Oliveira , M. Palatka , J. Pallotta , P. Papenbreer , G. Parente , A. Parra , J. Pawlowsky , M. Pech , J. Pękala , R. Pelayo , J. Peña-Rodriguez , E. E. Pereira Martins , J. Perez Armand , C. Pérez Bertolli , L. Perrone , S. Petrera , C. Petrucci , T. Pierog , M. Pimenta , V. Pirronello , M. Platino , B. Pont , M. Pothast , P. Privitera , M. Prouza , A. Puyleart , S. Querchfeld , J. Rautenberg , D. Ravignani , M. Reininghaus , J. Ridky , F. Riehn , M. Risse , V. Rizi , W. Rodrigues de Carvalho , J. Rodriguez Rojo , M. J. Roncoroni , S. Rossoni , M. Roth , E. Roulet , A. C. Rovero , P. Ruehl , A. Saftoiu , M. Saharan , F. Salamida , H. Salazar , G. Salina , J. D. Sanabria Gomez , F. Sánchez , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , C. Sarmiento-Cano , R. Sato , P. Savina , C. M. Schäfer , V. Scherini , H. Schieler , M. Schimassek , M. Schimp , F. Schlüter , D. Schmidt , O. Scholten , H. Schoorlemmer , P. Schovánek , F. G. Schröder , J. Schulte , T. Schulz , S. J. Sciutto , M. Scornavacche , A. Segreto , S. Sehgal , R. C. Shellard , G. Sigl , G. Silli , O. Sima , R. Smau , R. Šmída , P. Sommers , J. F. Soriano , R. Squartini , M. Stadelmaier , D. Stanca , S. Stanič , J. Stasielak , P. Stassi , A. Streich , M. Suárez-Durán , T. Sudholz , T. Suomijärvi , A. D. Supanitsky , Z. Szadkowski , A. Tapia , C. Taricco , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , Z. Torrès , A. Travaini , P. Travnicek , C. Trimarelli , M. Tueros , R. Ulrich , M. Unger , L. Vaclavek , M. Vacula , J. F. Valdés Galicia , L. Valore , E. Varela , A. Vásquez-Ramírez , D. Veberič , C. Ventura , I. D. Vergara Quispe , V. Verzi , J. Vicha , J. Vink , S. Vorobiov , H. Wahlberg , C. Watanabe , A. A. Watson , A. Weindl , L. Wiencke , H. Wilczyński , D. Wittkowski , B. Wundheiler , A. Yushkov , O. Zapparrata , E. Zas , D. Zavrtanik , M. Zavrtanik , L. Zehrer

We study the longitudinal development of hadronic showers in water and ice for energies up to 100 EeV. We present results of a hybrid Monte Carlo method developed for the purpose of simulating those showers. We show parameterizations of the…

Astrophysics · Physics 2007-05-23 J. Alvarez-Muñiz , E. Zas

The average profiles of cosmic ray shower development as a function of atmospheric depth are measured for the first time with the Fluorescence Detectors at the Pierre Auger Observatory. The profile shapes are well reproduced by the…

High Energy Astrophysical Phenomena · Physics 2019-06-12 Sofia Andringa

To interpret the mean depth of cosmic ray air shower maximum and its dispersion, we parametrize those two observables as functions of the first two moments of the $\ln A$ distribution. We examine the goodness of this simple method through…

High Energy Astrophysical Phenomena · Physics 2014-07-01 Pierre Auger Collaboration

We present a new version of the hadron interaction event generator Sibyll. While the core ideas of the model have been preserved, the new version handles the production of baryon pairs and leading particles in a new way. In addition,…

High Energy Physics - Phenomenology · Physics 2020-09-09 Felix Riehn , Ralph Engel , Anatoli Fedynitch , Thomas K. Gaisser , Todor Stanev

In air shower experiments information about the initial cosmic ray particle or about the shower development is obtained by exploiting the correlations between the quantities of interest and the directly measurable quantities. It is shown…

Astrophysics · Physics 2007-05-23 Wolfgang Wittek , Harald Kornmayer , The HEGRA Collaboration

We report a study of the distributions of the depth of maximum, Xmax, of extensive air-shower profiles with energies above 10^17.8 eV as observed with the fluorescence telescopes of the Pierre Auger Observatory. The analysis method for…

High Energy Astrophysical Phenomena · Physics 2015-03-09 Pierre Auger Collaboration

We explore the feasibility of estimating primary cosmic ray composition at high energies from the study of two parameters of Extensive Air Showers (EAS) at ground and underground level with Monte Carlo simulations using the new EPOS and…

High Energy Astrophysical Phenomena · Physics 2015-01-12 A. Tapia , D. Melo , F. Sánchez , A. Sedoski Croce , J. M. Figueira , B. García , N. González , M. Josebachuili , D. Ravignani , B. Wundheiler , A. Etchegoyen

Several models of minimum-bias hadronic interactions at ultra-high energy that have been used for calculations of air showers share essential common features. In this talk I review these common elements and discuss some consequences. I…

High Energy Physics - Phenomenology · Physics 2011-05-12 T. K. Gaisser

We present a parameterized model of atmospheric particle showers initiated by cosmic rays. Few physics shower parameters are tuned in a comparison to the Conex generator. Resulting shower properties are studied, with a comment on the cases…

High Energy Astrophysical Phenomena · Physics 2025-12-22 Jiri Kvita

The radio intensity and polarization footprint of a cosmic-ray induced extensive air shower is determined by the time-dependent structure of the current distribution residing in the plasma cloud at the shower front. In turn, the time…

High Energy Astrophysical Phenomena · Physics 2018-01-17 Olaf Scholten , Gia Trinh , Krijn D. de Vries , Brian M. Hare

The shape of the longitudinal development of the showers generated in the atmosphere by very high energy cosmic ray particles encodes information about the mass composition of the flux, and about the properties of hadronic interactions that…

High Energy Astrophysical Phenomena · Physics 2021-05-19 Paolo Lipari

The energy spectrum of muons at ground level in air showers are studied and a new observable is proposed to constrain hadronic interaction models used in air shower simulations. An asymmetric Gaussian function is proposed to describe the…

High Energy Physics - Phenomenology · Physics 2017-07-27 Raul R. Prado , Vitor de Souza

Experiments measuring cosmic rays above an energy of 10^14 eV deduce the energy and mass of the primary cosmic ray particles from air-shower simulations. We investigate the importance of hadronic interactions at low and high energies on the…

Cosmology and Nongalactic Astrophysics · Physics 2010-02-04 I. C. Maris , R. Engel , X. Garrido , A. Haungs , M. Roth , R. Ulrich , M. Unger

The present status of extensive air shower (EAS) simulation procedures is reviewed. The advantages of combining numerical and Monte Carlo methods for the description of EAS development are discussed. Physics content of cosmic ray…

High Energy Astrophysical Phenomena · Physics 2010-10-08 S. Ostapchenko

Motivated by the computational limitations of simulating interactions of particles in highly-granular detectors, there exists a concerted effort to build fast and exact machine-learning-based shower simulators. This work reports progress on…

The results of Monte-Carlo simulations of Extensive Air Shower are presented to show the difference of hadronic component content at various altitudes with the aim to choose an optimal altitude for the PRISMA-like experiment. CORSIKA…

High Energy Astrophysical Phenomena · Physics 2012-04-18 Yu. V. Stenkin , V. V. Alekseenko , D. M. Gromushkin , Y. Liu , X. H. Ma , J. Zhao