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The distribution of ultra-high-energy cosmic-ray arrival directions appears to be nearly isotropic except for a dipole moment of order $6 \times (E/10~\mathrm{EeV})$ per cent. Nonetheless, at the highest energies, as the number of possible…

Ultra-high-energy cosmic rays (UHECRs) are atomic nuclei from space with vastly higher energies than any other particles ever observed. Their origin and chemical composition remain a mystery. As we show here, the large- and…

High Energy Astrophysical Phenomena · Physics 2021-06-02 Chen Ding , Noemie Globus , Glennys R. Farrar

The arrival directions of ultra-high-energy cosmic rays appear to be approximately isotropically distributed over the whole sky, but the last-generation UHECR detector arrays, the Pierre Auger Observatory (Auger) and the Telescope Array…

The ultra-high-energy cosmic ray (UHECR) spectra measured by the Pierre Auger Observatory (Auger) and the Telescope Array (TA) agree very well below $10^{19.5}$ eV but differ significantly at higher energies. We show that these differences…

High Energy Astrophysical Phenomena · Physics 2025-11-13 Alexander Korochkin , Dmitri Semikoz , Peter Tinyakov

After over 60 years, the powerful engines that accelerate ultra-high-energy cosmic rays (UHECRs) to the formidable energies at which we observe them from Earth remain mysterious. Assuming standard physics, we expect UHECR sources to lie…

Ground-based full-sky studies of the angular distribution of arrival directions of ultra-high-energy cosmic rays require combining data from different observatories, such as the Pierre Auger Observatory (Auger) and the Telescope Array (TA),…

(Abridged) Recent results from the Pierre Auger Observatory (PAO) indicate that the composition of ultra-high-energy cosmic rays (UHECRs) with energies above $10^{19}$ eV may be dominated by heavy nuclei. An important question is whether…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Hajime Takami , Susumu Inoue , Tokonatsu Yamamoto

Ultra-high-energy cosmic rays, accelerated hadrons that can exceed energies of $10^{20}$ eV, are the highest-energy particles ever observed. While the sources producing UHECRs are still unknown, the Pierre Auger Observatory has detected a…

High Energy Astrophysical Phenomena · Physics 2025-10-28 Angelina Sherman , Ke Fang , Rafael Alves Batista , Rogerio Menezes de Almeida

Ultra-high energy cosmic rays (UHECRs) are particles, likely protons and/or nuclei, with energies up to $10^{20}$ eV that are observed through the giant air showers they produce in the atmosphere. These particles carry the information on…

High Energy Astrophysical Phenomena · Physics 2017-02-24 O. Deligny , K. Kawata , P. Tinyakov

Despite deflections by Galactic and extragalactic magnetic fields, the distribution of ultra-high energy cosmic rays (UHECRs) over the celestial sphere remains a most promising observable for the identification of their sources. Thanks to a…

Spherical harmonic moments are well-suited for capturing anisotropy at any scale in the flux of cosmic rays. An unambiguous measurement of the full set of spherical harmonic coefficients requires full-sky coverage. This can be achieved by…

High Energy Astrophysical Phenomena · Physics 2014-10-09 The Pierre Auger , Telescope Array Collaborations , : , A. Aab , P. Abreu , M. Aglietta , E. J. Ahn , I. Al Samarai , I. F. M. Albuquerque , I. Allekotte , J. Allen , P. Allison , A. Almela , J. Alvarez Castillo , J. Alvarez-Muñiz , R. Alves Batista , M. Ambrosio , A. Aminaei , L. Anchordoqui , S. Andringa , C. Aramo , F. Arqueros , H. Asorey , P. Assis , J. Aublin , M. Ave , M. Avenier , G. Avila , A. M. Badescu , K. B. Barber , J. Bäuml , C. Baus , J. J. Beatty , K. H. Becker , J. A. Bellido , C. Berat , X. Bertou , P. L. Biermann , P. Billoir , M. Blanco , C. Bleve , H. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , R. Bonino , N. Borodai , J. Brack , I. Brancus , P. Brogueira , W. C. Brown , P. Buchholz , A. Bueno , S. Buitink , M. Buscemi , K. S. Caballero-Mora , B. Caccianiga , L. Caccianiga , M. Candusso , L. Caramete , R. Caruso , A. Castellina , G. Cataldi , L. Cazon , R. Cester , A. G. Chavez , A. Chiavassa , J. A. Chinellato , J. Chudoba , M. Cilmo , R. W. Clay , G. Cocciolo , R. Colalillo , A. Coleman , L. Collica , M. R. Coluccia , R. Conceição , F. Contreras , M. J. Cooper , A. Cordier , S. Coutu , C. E. Covault , J. Cronin , A. Curutiu , R. Dallier , B. Daniel , S. Dasso , K. Daumiller , B. R. Dawson , R. M. de Almeida , M. De Domenico , S. J. de Jong , J. R. T. de Mello Neto , I. De Mitri , J. de Oliveira , V. de Souza , L. del Peral , O. Deligny , H. Dembinski , N. Dhital , C. Di Giulio , A. Di Matteo , J. C. Diaz , M. L. Díaz Castro , F. Diogo , C. Dobrigkeit , W. Docters , J. C. D'Olivo , A. Dorofeev , Q. Dorosti Hasankiadeh , M. T. Dova , J. Ebr , R. Engel , M. Erdmann , M. Erfani , C. O. Escobar , J. Espadanal , A. Etchegoyen , P. Facal San Luis , H. Falcke , K. Fang , G. Farrar , A. C. Fauth , N. Fazzini , A. P. Ferguson , M. Fernandes , B. Fick , J. M. Figueira , A. Filevich , A. Filipčič , B. D. Fox , O. Fratu , U. Fröhlich , B. Fuchs , T. Fuji , R. Gaior , B. García , S. T. Garcia Roca , D. Garcia-Gamez , D. Garcia-Pinto , G. Garilli , A. Gascon Bravo , F. Gate , H. Gemmeke , P. L. Ghia , U. Giaccari , M. Giammarchi , M. Giller , C. Glaser , H. Glass , M. Gómez Berisso , P. F. Gómez Vitale , P. Gonçalves , J. G. Gonzalez , N. González , B. Gookin , A. Gorgi , P. Gorham , P. Gouffon , S. Grebe , N. Griffith , A. F. Grillo , T. D. Grubb , Y. Guardincerri , F. Guarino , G. P. Guedes , M. R. Hampel , P. Hansen , D. Harari , T. A. Harrison , S. Hartmann , J. L. Harton , A. Haungs , T. Hebbeker , D. Heck , P. Heimann , A. E. Herve , G. C. Hill , C. Hojvat , N. Hollon , E. Holt , P. Homola , J. R. Hörandel , P. Horvath , M. Hrabovský , D. Huber , T. Huege , A. Insolia , P. G. Isar , K. Islo , I. Jandt , S. Jansen , C. Jarne , M. Josebachuili , A. Kääpä , O. Kambeitz , K. H. Kampert , P. Kasper , I. Katkov , B. Kégl , B. Keilhauer , A. Keivani , E. Kemp , R. M. Kieckhafer , H. O. Klages , M. Kleifges , J. Kleinfeller , R. Krause , N. Krohm , O. Krömer , D. Kruppke-Hansen , D. Kuempel , N. Kunka , G. La Rosa , D. LaHurd , L. Latronico , R. Lauer , M. Lauscher , P. Lautridou , S. Le Coz , M. S. A. B. Leão , D. Lebrun , P. Lebrun , M. A. Leigui de Oliveira , A. Letessier-Selvon , I. Lhenry-Yvon , K. Link , R. López , A. Lopez Agüera , K. Louedec , J. Lozano Bahilo , L. Lu , A. Lucero , M. Ludwig , M. C. Maccarone , M. Malacari , S. Maldera , M. Mallamaci , J. Maller , D. Mandat , P. Mantsch , A. G. Mariazzi , V. Marin , I. C. Mariş , G. Marsella , D. Martello , L. Martin , H. Martinez , O. Martínez Bravo , D. Martraire , J. J. Masías Meza , H. J. Mathes , S. Mathys , J. A. J. Matthews , J. Matthews , G. Matthiae , D. Maurel , D. Maurizio , E. Mayotte , P. O. Mazur , C. Medina , G. Medina-Tanco , M. Melissas , D. Melo , E. Menichetti , A. Menshikov , S. Messina , R. Meyhandan , S. Mićanović , M. I. Micheletti , L. Middendorf , I. A. Minaya , L. Miramonti , B. Mitrica , L. Molina-Bueno , S. Mollerach , M. Monasor , D. Monnier Ragaigne , F. Montanet , C. Morello , M. Mostafá , C. A. Moura , M. A. Muller , G. Müller , M. Münchmeyer , R. Mussa , G. Navarra , S. Navas , P. Necesal , L. Nellen , A. Nelles , J. Neuser , M. Niechciol , L. Niemietz , T. Niggemann , D. Nitz , D. Nosek , V. Novotny , L. Nožka , L. Ochilo , A. Olinto , M. Oliveira , N. Pacheco , D. Pakk Selmi-Dei , M. Palatka , J. Pallotta , N. Palmieri , P. Papenbreer , G. Parente , A. Parra , T. Paul , M. Pech , J. Pekala , R. Pelayo , I. M. Pepe , L. Perrone , R. Pesce , E. Petermann , C. Peters , S. Petrera , A. Petrolini , Y. Petrov , J. Phuntsok , R. Piegaia , T. Pierog , P. Pieroni , M. Pimenta , V. Pirronello , M. Platino , M. Plum , A. Porcelli , C. Porowski , R. R. Prado , P. Privitera , M. Prouza , V. Purrello , E. J. Quel , S. Querchfeld , S. Quinn , J. Rautenberg , O. Ravel , D. Ravignani , B. Revenu , J. Ridky , S. Riggi , M. Risse , P. Ristori , V. Rizi , J. Roberts , W. Rodrigues de Carvalho , I. Rodriguez Cabo , G. Rodriguez Fernandez , J. Rodriguez Rojo , M. D. Rodríguez-Frías , G. Ros , J. Rosado , T. Rossler , M. Roth , E. Roulet , A. C. Rovero , S. J. Saffi , A. Saftoiu , F. Salamida , H. Salazar , A. Saleh , F. Salesa Greus , G. Salina , F. Sánchez , P. Sanchez-Lucas , C. E. Santo , E. Santos , E. M. Santos , F. Sarazin , B. Sarkar , R. Sarmento , R. Sato , N. Scharf , V. Scherini , H. Schieler , P. Schiffer , O. Scholten , H. Schoorlemmer , P. Schovánek , A. Schulz , J. Schulz , J. Schumacher , S. J. Sciutto , A. Segreto , M. Settimo , A. Shadkam , R. C. Shellard , I. Sidelnik , G. Sigl , O. Sima , A. Śmiał , R. Šmída , G. R. Snow , P. Sommers , J. Sorokin , R. Squartini , Y. N. Srivastava , S. Stanič , J. Stapleton , J. Stasielak , M. Stephan , A. Stutz , F. Suarez , T. Suomijärvi , A. D. Supanitsky , M. S. Sutherland , J. Swain , Z. Szadkowski , M. Szuba , O. A. Taborda , A. Tapia , M. Tartare , V. M. Theodoro , C. Timmermans , C. J. Todero Peixoto , G. Toma , L. Tomankova , B. Tomé , A. Tonachini , G. Torralba Elipe , D. Torres Machado , P. Travnicek , E. Trovato , M. Tueros , R. Ulrich , M. Unger , M. Urban , J. F. Valdés Galicia , I. Valiño , L. Valore , G. van Aar , A. M. van den Berg , S. van Velzen , A. van Vliet , E. Varela , B. Vargas Cárdenas , G. Varner , J. R. Vázquez , R. A. Vázquez , D. Veberič , V. Verzi , J. Vicha , M. Videla , L. Villaseñor , B. Vlcek , S. Vorobiov , H. Wahlberg , O. Wainberg , D. Walz , A. A. Watson , M. Weber , K. Weidenhaupt , A. Weindl , F. Werner , A. Widom , L. Wiencke , B. Wilczyńska , H. Wilczyński , M. Will , C. Williams , T. Winchen , D. Wittkowski , B. Wundheiler , S. Wykes , T. Yamamoto , T. Yapici , P. Younk , G. Yuan , A. Yushkov , B. Zamorano , E. Zas , D. Zavrtanik , M. Zavrtanik , I. Zaw , A. Zepeda , J. Zhou , Y. Zhu , M. Zimbres Silva , M. Ziolkowski , R. U. Abbasi , M. Abe , T. Abu-Zayyad , M. Allen , R. Anderson , R. Azuma , E. Barcikowski , J. W. Belz , D. R. Bergman , S. A. Blake , R. Cady , M. J. Chae , B. G. Cheon , J. Chiba , M. Chikawa , W. R. Cho , T. Fujii , M. Fukushima , T. Goto , W. Hanlon , Y. Hayashi , N. Hayashida , K. Hibino , K. Honda , D. Ikeda , N. Inoue , T. Ishii , R. Ishimori , H. Ito , D. Ivanov , 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. Kitamura , Y. Kitamura , V. Kuzmin , Y. J. Kwon , J. Lan , S. I. Lim , J. P. Lundquist , K. Machida , K. Martens , T. Matsuda , T. Matsuyama , J. N. Matthews , M. Minamino , K. Mukai , I. Myers , K. Nagasawa , S. Nagataki , T. Nakamura , T. Nonaka , A. Nozato , S. Ogio , J. Ogura , M. Ohnishi , H. Ohoka , K. Oki , T. Okuda , M. Ono , A. Oshima , S. Ozawa , I. H. Park , M. S. Pshirkov , D. C. Rodriguez , G. Rubtsov , D. Ryu , H. Sagawa , N. Sakurai , A. L. Sampson , L. M. Scott , P. D. Shah , F. Shibata , T. Shibata , H. Shimodaira , B. K. Shin , J. D. Smith , P. Sokolsky , R. W. Springer , B. T. Stokes , S. R. Stratton , T. A. Stroman , T. Suzawa , 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 , G. Vasiloff , T. Wong , R. Yamane , H. Yamaoka , K. Yamazaki , J. Yang , K. Yashiro , Y. Yoneda , S. Yoshida , H. Yoshii , R. Zollinger , Z. Zundel

The Pierre Auger Observatory is the world's largest operating detection system for the observation of ultra high energy cosmic rays (UHECRs). The detector allows detailed measurements of their energy spectrum, mass composition and arrival…

Instrumentation and Methods for Astrophysics · Physics 2018-11-27 Dariusz Gora

We present results of elaborate four-dimensional simulations of the propagation of ultra-high-energy cosmic rays (UHECR), which are based on a realistic astrophysical scenario. The distribution of the arrival directions of the UHECR is…

High Energy Astrophysical Phenomena · Physics 2018-02-19 David Wittkowski , Karl-Heinz Kampert

This paper presents the highlights from the recent measurements of the energy spectrum, mass composition, and arrival directions of the ultra-high energy ($> 10^{17}$ eV = 0.1 EeV) cosmic rays (UHECR) by the Pierre Auger Observatory. The…

Astrophysics · Physics 2019-08-13 Serguei Vorobiov

A thorough search for large scale anisotropies in the distribution of arrival directions of cosmic rays detected above $10^{18}$ eV at the Pierre Auger Observatory is reported. For the first time, these large scale anisotropy searches are…

High Energy Astrophysical Phenomena · Physics 2013-01-23 Pierre Auger Collaboration

Analysing the available data relative to the anisotropies of the ultra-high-energy cosmic rays (UHECR) at intermediate angular scales, we examine to what extent they can be used to constrain the origin of these particles, and what could be…

High Energy Astrophysical Phenomena · Physics 2024-06-26 Denis Allard , Julien Aublin , Bruny Baret , Etienne Parizot

The Pierre Auger Observatory has collected data for more than 15 years, accumulating the world's largest exposure to ultrahigh energy cosmic rays (UHECRs). The energy spectrum of the UHECRs has been measured up to $10^{20.2}$ eV, and their…

High Energy Astrophysical Phenomena · Physics 2019-09-25 Antonella Castellina

Measurements of anisotropies in the arrival directions of ultra-high-energy cosmic rays are crucial to pinpoint their sources, which are yet to be discovered. A dipolar anisotropy in right ascension above 8~EeV has been detected by the…

High Energy Astrophysical Phenomena · Physics 2025-07-28 Marta Bianciotto

Unveiling the sources of ultra-high-energy cosmic rays remains one of the main challenges of high-energy astrophysics. Measurements of anisotropies in their arrival directions are key to identifying their sources, yet magnetic deflections…

High Energy Astrophysical Phenomena · Physics 2025-07-28 Marta Bianciotto

Ultra-high-energy cosmic rays (UHECRs) are the most energetic particles known - and yet their origin is still an open question. However, with the precision and accumulated statistics of the Pierre Auger Observatory and the Telescope Array,…

High Energy Astrophysical Phenomena · Physics 2025-11-10 Teresa Bister
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