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We use a kinetic-equation approach to describe the propagation of ultra high energy cosmic ray protons and nuclei and calculate the expected spectra and mass composition at the Earth for different assumptions on the source injection spectra…

High Energy Astrophysical Phenomena · Physics 2015-06-22 R. Aloisio , V. Berezinsky , P. Blasi

We propose an observable for ultra-high energy cosmic ray (UHECR) physics: the harmonic-space cross-correlation power spectrum between the arrival directions of UHECRs and the large-scale cosmic structure mapped by galaxies. This…

High Energy Astrophysical Phenomena · Physics 2021-08-11 Federico R. Urban , Stefano Camera , David Alonso

The observational data on ultrahigh energy cosmic rays (UHECR), in particular their mass composition, show strong indications for extremely hard spectra of individual mass groups of CR nuclei at Earth. In this work, we show that such hard…

High Energy Astrophysical Phenomena · Physics 2023-03-01 Björn Eichmann , Michael Kachelrieß

The clustering of ultra high energy (above 5\cdot 10^{19} eV) cosmic rays (UHECR) suggests that they might be emitted by compact sources. We present a statistical analysis on the source density based on the multiplicities. The propagation…

High Energy Physics - Phenomenology · Physics 2015-06-25 Z. Fodor

We present a method to analyse arrival directions of ultra-high-energy cosmic rays (UHECRs) using a classifier defined by a deep convolutional neural network trained on a HEALPix grid. To illustrate a high effectiveness of the method, we…

High Energy Astrophysical Phenomena · Physics 2020-11-11 Oleg Kalashev , Maxim Pshirkov , Mikhail Zotov

Modern observatories of ultra-high energy cosmic rays (UHECR) have collected over 10^4 events with energies above 10 EeV, whose arrival directions appear to be nearly isotropically distributed. On the other hand, the distribution of matter…

High Energy Astrophysical Phenomena · Physics 2019-01-07 Armando di Matteo , Peter Tinyakov

Extragalactic cosmic ray protons with an injection spectrum of the type $E^{-2.7}$ show a spectrum on earth with a dip due to the Bethe-Heitler pair production against the photons of the cosmic microwave background. The dip is produced in…

Astrophysics · Physics 2007-05-23 Roberto Aloisio

Ultra-high cosmic rays (UHECRs) with energies >10^19 eV emitted at cosmological distances will be attenuated by cosmic microwave and infrared background radiation through photohadronic processes. Lower energy extra-galactic cosmic rays…

High Energy Astrophysical Phenomena · Physics 2011-07-25 Xiang-Yu Wang , Ruo-Yu Liu , Felix Aharonian

The dip is a feature in the diffuse spectrum of UHE protons in energy range $1\times 10^{18} - 4\times 10^{19}$ eV, which is caused by electron-positron pair production on CMB photons. Calculated for power-law generation spectrum with index…

Astrophysics · Physics 2009-11-11 Veniamin Berezinsky

The origin of the ultra high energy cosmic rays (UHECR) with energies above E > 1017eV, is still unknown. The discovery of their sources will reveal the engines of the most energetic astrophysical accelerators in the universe. This is a…

High Energy Astrophysical Phenomena · Physics 2016-04-27 M. T. Dova

The existence of cosmic ray particles up to the ultra-high energy limit (> 10^20 eV) is now beyond any doubt. The detection of cosmic particles with such energies imposes a challenge for the comprehension of their sources and nature. On one…

We present a combined fit of a simple astrophysical model of UHECR sources to both the energy spectrum and mass composition data measured by the Pierre Auger Observatory. The fit has been performed for energies above 5 EeV, i.e. the region…

High Energy Astrophysical Phenomena · Physics 2019-08-13 Armando di Matteo

The energetics, spectrum, and composition of cosmic rays with energies below about $10^{15}$ eV are fairly well explained by models involving supernova shocks. In contrast, no widely accepted theory exists for the origin of ultra-high…

Astrophysics · Physics 2009-10-28 Aparna Venkatesan , M. Coleman Miller , Angela V. Olinto

A model is introduced, in which the irregularity spectrum of the Galactic magnetic field beyond the dissipation length scale is first a Kolmogorov spectrum $k^{-5/3}$ at small scales $\lambda \, = \, 2 \pi/k$ with $k$ the wave-number, then…

High Energy Astrophysical Phenomena · Physics 2015-11-16 P. L. Biermann , L. I. Caramete , A. Meli , B. N. Nath , E. -S. Seo , V. de Souza , J. Becker Tjus

It has recently been proposed that ultrahigh energy ($\gtrsim 10^{19}$ eV) cosmic rays (UHECRs) are accelerated by the blast waves associated with GRBs. We calculate the observed synchrotron radiation spectrum from protons and energetic…

Astrophysics · Physics 2009-10-30 M. Boettcher , C. D. Dermer

Radio galaxies are intensively discussed as the sources of cosmic rays observed above about 3 EeV, called ultra-high-energy cosmic rays (UHECRs). Here, the key issues from a recent investigation are summed up, where the individual…

High Energy Astrophysical Phenomena · Physics 2019-05-22 Björn Eichmann

From deflections in galactic and extragalactic magnetic fields energy dependent structures in the arrival directions of ultra-high energy cosmic rays (UHECR) are expected. We propose to characterize these structures by the strength of…

Instrumentation and Methods for Astrophysics · Physics 2013-08-01 Martin Erdmann , Tobias Winchen

Interactions of ultrahigh energy cosmic rays in the surroundings of their accelerators can naturally explain the observed spectrum and composition of UHECRs, including the abundance of protons below the ankle. We show that astrophysical…

High Energy Astrophysical Phenomena · Physics 2023-01-20 Marco Stein Muzio , Glennys R. Farrar

The energy spectrum of cosmic rays above 2.5 EeV has been measured across the declination range $-90^\circ \leq\delta\leq +44.8^\circ$ using data from $\sim 310{,}000$ events accrued at the Pierre Auger Observatory from an exposure of…

High Energy Astrophysical Phenomena · Physics 2025-12-11 The Pierre Auger Collaboration , A. Abdul Halim , P. Abreu , M. Aglietta , I. Allekotte , K. Almeida Cheminant , A. Almela , R. Aloisio , J. Alvarez-Muñiz , A. Ambrosone , J. Ammerman Yebra , G. A. Anastasi , L. Anchordoqui , B. Andrada , L. Andrade Dourado , S. Andringa , L. Apollonio , C. Aramo , E. Arnone , J. C. Arteaga Velázquez , P. Assis , G. Avila , E. Avocone , A. Bakalova , F. Barbato , A. Bartz Mocellin , J. A. Bellido , C. Berat , M. E. Bertaina , M. Bianciotto , P. L. Biermann , V. Binet , K. Bismark , T. Bister , J. Biteau , J. Blazek , J. Blümer , M. Boháčová , D. Boncioli , C. Bonifazi , L. Bonneau Arbeletche , N. Borodai , J. Brack , P. G. Brichetto Orchera , F. L. Briechle , A. Bueno , S. Buitink , M. Buscemi , M. Büsken , A. Bwembya , K. S. Caballero-Mora , S. Cabana-Freire , L. Caccianiga , F. Campuzano , J. Caraça-Valente , R. Caruso , A. Castellina , F. Catalani , G. Cataldi , L. Cazon , M. Cerda , B. Čermáková , A. Cermenati , J. A. Chinellato , J. Chudoba , L. Chytka , R. W. Clay , A. C. Cobos Cerutti , R. Colalillo , R. Conceição , G. Consolati , M. Conte , F. Convenga , D. Correia dos Santos , P. J. Costa , C. E. Covault , M. Cristinziani , C. S. Cruz Sanchez , S. Dasso , K. Daumiller , B. R. Dawson , R. M. de Almeida , E. -T. de Boone , B. de Errico , 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 , O. Deligny , N. Denner , L. Deval , A. di Matteo , C. Dobrigkeit , J. C. D'Olivo , L. M. Domingues Mendes , Q. Dorosti , J. C. dos Anjos , R. C. dos Anjos , J. Ebr , F. Ellwanger , R. Engel , I. Epicoco , M. Erdmann , A. Etchegoyen , C. Evoli , H. Falcke , G. Farrar , A. C. Fauth , T. Fehler , F. Feldbusch , A. Fernandes , M. Fernandez , B. Fick , J. M. Figueira , P. Filip , A. Filipčič , T. Fitoussi , B. Flaggs , T. Fodran , A. Franco , M. Freitas , T. Fujii , A. Fuster , C. Galea , B. García , C. Gaudu , P. L. Ghia , U. Giaccari , F. Gobbi , F. Gollan , G. Golup , M. Gómez Berisso , P. F. Gómez Vitale , J. P. Gongora , J. M. González , N. González , D. Góra , A. Gorgi , M. Gottowik , F. Guarino , G. P. Guedes , L. Gülzow , S. Hahn , P. Hamal , M. R. Hampel , P. Hansen , V. M. Harvey , A. Haungs , T. Hebbeker , C. Hojvat , J. R. Hörandel , P. Horvath , M. Hrabovský , T. Huege , A. Insolia , P. G. Isar , M. Ismaiel , P. Janecek , V. Jilek , K. -H. Kampert , B. Keilhauer , A. Khakurdikar , V. V. Kizakke Covilakam , H. O. Klages , M. Kleifges , J. Köhler , F. Krieger , M. Kubatova , N. Kunka , B. L. Lago , N. Langner , N. Leal , M. A. Leigui de Oliveira , Y. Lema-Capeans , A. Letessier-Selvon , I. Lhenry-Yvon , L. Lopes , J. P. Lundquist , M. Mallamaci , D. Mandat , P. Mantsch , F. M. Mariani , A. G. Mariazzi , I. C. Mariş , G. Marsella , D. Martello , S. Martinelli , M. A. Martins , H. -J. Mathes , J. Matthews , G. Matthiae , E. Mayotte , S. Mayotte , P. O. Mazur , G. Medina-Tanco , J. Meinert , D. Melo , A. Menshikov , C. Merx , S. Michal , M. I. Micheletti , L. Miramonti , M. Mogarkar , S. Mollerach , F. Montanet , L. Morejon , K. Mulrey , R. Mussa , W. M. Namasaka , S. Negi , L. Nellen , K. Nguyen , G. Nicora , M. Niechciol , D. Nitz , D. Nosek , A. Novikov , V. Novotny , L. Nožka , A. Nucita , L. A. Núñez , J. Ochoa , C. Oliveira , L. Östman , M. Palatka , J. Pallotta , S. Panja , G. Parente , T. Paulsen , J. Pawlowsky , M. Pech , J. Pękala , R. Pelayo , V. Pelgrims , L. A. S. Pereira , E. E. Pereira Martins , C. Pérez Bertolli , L. Perrone , S. Petrera , C. Petrucci , T. Pierog , M. Pimenta , M. Platino , B. Pont , M. Pourmohammad Shahvar , P. Privitera , C. Priyadarshi , M. Prouza , K. Pytel , S. Querchfeld , J. Rautenberg , D. Ravignani , J. V. Reginatto Akim , A. Reuzki , J. Ridky , F. Riehn , M. Risse , V. Rizi , E. Rodriguez , G. Rodriguez Fernandez , J. Rodriguez Rojo , S. Rossoni , M. Roth , E. Roulet , A. C. Rovero , A. Saftoiu , M. Saharan , F. Salamida , H. Salazar , G. Salina , P. Sampathkumar , N. San Martin , J. D. Sanabria Gomez , F. Sánchez , E. M. Santos , E. Santos , F. Sarazin , R. Sarmento , R. Sato , P. Savina , V. Scherini , H. Schieler , M. Schimassek , M. Schimp , D. Schmidt , O. Scholten , H. Schoorlemmer , P. Schovánek , F. G. Schröder , J. Schulte , T. Schulz , S. J. Sciutto , M. Scornavacche , A. Sedoski , A. Segreto , S. Sehgal , S. U. Shivashankara , G. Sigl , K. Simkova , F. Simon , R. Šmída , P. Sommers , R. Squartini , M. Stadelmaier , S. Stanič , J. Stasielak , P. Stassi , S. Strähnz , M. Straub , T. Suomijärvi , A. D. Supanitsky , Z. Svozilikova , K. Syrokvas , Z. Szadkowski , F. Tairli , M. Tambone , A. Tapia , C. Taricco , C. Timmermans , O. Tkachenko , P. Tobiska , C. J. Todero Peixoto , B. Tomé , A. Travaini , P. Travnicek , M. Tueros , M. Unger , R. Uzeiroska , L. Vaclavek , M. Vacula , I. Vaiman , J. F. Valdés Galicia , L. Valore , P. van Dillen , E. Varela , V. Vašíčková , A. Vásquez-Ramírez , D. Veberič , I. D. Vergara Quispe , S. Verpoest , V. Verzi , J. Vicha , J. Vink , S. Vorobiov , J. B. Vuta , C. Watanabe , A. A. Watson , A. Weindl , M. Weitz , L. Wiencke , H. Wilczyński , B. Wundheiler , B. Yue , A. Yushkov , E. Zas , D. Zavrtanik , M. Zavrtanik

We present a Bayesian hierarchical model which enables a joint fit of the ultra-high-energy cosmic ray (UHECR) energy spectrum and arrival directions within the context of a physical model for the UHECR phenomenology. In this way, possible…

High Energy Astrophysical Phenomena · Physics 2019-02-04 Francesca Capel , Daniel J. Mortlock
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