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The clustering of ultra high energy (above 10^20 eV) cosmic rays (UHECR) suggests that they might be emitted by compact sources. Statistical analysis of Dubovsky et al. (Phys. Rev. Lett. 85 (2000) 1154) estimated the source density. We…

High Energy Physics - Phenomenology · Physics 2009-12-31 Z. Fodor , S. D. Katz

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

Ultra-high energy cosmic rays (UHECRs) are extremely energetic charged particles that originate from outer space. The Telescope Array (TA) experiment, the largest UHECR observatory in the Northern Hemisphere, has provided high-precision…

High Energy Astrophysical Phenomena · Physics 2025-10-06 Jihyun Kim , Dmitri Ivanov , Gordon Thomson

Understanding the acceleration of Ultra High Energy Cosmic Rays is one of the great challenges of contemporary astrophysics. In this short review, we summarize the general observational constraints on their composition, spectrum and…

High Energy Astrophysical Phenomena · Physics 2023-05-24 Noemie Globus , Roger Blandford

One of the most challenging open questions regarding the origin of ultrahigh energy cosmic rays (UHECRs) deals with the shape of the source emission spectra. A commonly-used simplifying assumption is that the source spectra of the highest…

High Energy Astrophysical Phenomena · Physics 2023-08-15 Marco Stein Muzio , Luis A. Anchordoqui , Michael Unger

Observation of clustering of ultra-high energy cosmic rays (UHECR) suggests that they are emitted by compact sources. Assuming small deflection of UHECR during the propagation, the statistical analysis of clustering allows to estimate the…

Astrophysics · Physics 2010-12-03 S. L. Dubovsky , P. G. Tinyakov , I. I. Tkachev

We argue that an astrophysical solution to UHECR problem is viable. The pectral features of extragalactic protons interacting with CMB are calculated in model-independent way. Using the power-law generation spectrum $\propto E^{-\gamma_g}$…

High Energy Physics - Phenomenology · Physics 2014-11-17 V. Berezinsky , A. Z. Gazizov , S. I. Grigorieva

The energy spectrum, composition and arrival directions of ultrahigh energy cosmic rays (UHECRs) with energy above the cosmic ray ankle, measured by the Pierre Auger Observatory, are inconsistent if their origin is assumed to be…

High Energy Astrophysical Phenomena · Physics 2012-02-07 Shlomo Dado , Arnon Dar , A. De Rujula

We have used recently published data from the Pierre Auger Observatory and the Telescope Array Project to conclude some inferences concerning the origin and composition of ultra high-energy cosmic rays (UHECR). We advocate for model the…

High Energy Astrophysical Phenomena · Physics 2017-06-20 Tadeusz Wibig , Arnold W. Wolfendale

Radio galaxies are promising candidates as the sources of ultrahigh energy cosmic rays (UHECRs). In this work, we examine if the stringent constraints imposed by the dipole and quadropole anisotropies as well as the UHECR spectrum and…

High Energy Astrophysical Phenomena · Physics 2022-07-06 Björn Eichmann , Michael Kachelrieß , Foteini Oikonomou

We fit the ultrahigh-energy cosmic-ray (UHECR, $E\gtrsim0.1$ EeV) spectrum and composition data from the Pierre Auger Observatory at energies $E\gtrsim5\cdot10^{18}$ eV, i.e., beyond the ankle using two populations of astrophysical sources.…

High Energy Astrophysical Phenomena · Physics 2021-12-15 Saikat Das , Soebur Razzaque , Nayantara Gupta

A dipole anisotropy in ultra-high-energy cosmic ray (UHECR) arrival directions, of extragalactic origin, is now firmly established at energies E > 8 EeV. Furthermore, the UHECR angular power spectrum shows no power at smaller angular scales…

High Energy Astrophysical Phenomena · Physics 2024-05-01 Teresa Bister , Glennys R. Farrar

We study the propagation of ultra-high-energy cosmic rays (UHECR) in the Galaxy, concentrating on the energy range below the ankle in the spectrum at 4 EeV. A Monte-Carlo method, based on analytical solutions to the time-dependent diffusion…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Martin Pohl , David Eichler

The origin of ultra-high-energy cosmic rays (UHECRs) remains an open questions in astrophysics. We explore two primary scenarios for the distribution of UHECR sources, assuming that their production rate follows either the cosmic…

High Energy Astrophysical Phenomena · Physics 2025-10-29 Antonio Condorelli , Jonathan Biteau , Olivier Deligny , Remi Adam

We use a new method to estimate the injected mass composition of ultrahigh cosmic rays (UHECRs) at energies higher than 10 EeV. The method is based on comparison of the energy-dependent distribution of cosmic ray arrival directions as…

High Energy Astrophysical Phenomena · Physics 2024-07-04 Telescope Array Collaboration , R. U. Abbasi , Y. Abe , T. Abu-Zayyad , M. Allen , Y. Arai , R. Arimura , E. Barcikowski , J. W. Belz , D. R. Bergman , S. A. Blake , I. Buckland , B. G. Cheon , M. Chikawa , T. Fujii , K. Fujisue , K. Fujita , R. Fujiwara , M. Fukushima , G. Furlich , N. Globus , R. Gonzalez , W. Hanlon , N. Hayashida , H. He , R. Hibi , K. Hibino , R. Higuchi , K. Honda , D. Ikeda , N. Inoue , T. Ishii , H. Ito , D. Ivanov , A. Iwasaki , H. M. Jeong , S. Jeong , C. C. H. Jui , K. Kadota , F. Kakimoto , O. Kalashev , K. Kasahara , S. Kasami , S. Kawakami , K. Kawata , I. Kharuk , E. Kido , H. B. Kim , J. H. Kim , J. H. Kim , S. W. Kim , Y. Kimura , I. Komae , V. Kuzmin , M. Kuznetsov , Y. J. Kwon , K. H. Lee , B. Lubsandorzhiev , J. P. Lundquist , H. Matsumiya , T. Matsuyama , J. N. Matthews , R. Mayta , K. Mizuno , M. Murakami , I. Myers , K. H. Lee , S. Nagataki , K. Nakai , T. Nakamura , E. Nishio , T. Nonaka , H. Oda , S. Ogio , M. Onishi , H. Ohoka , N. Okazaki , Y. Oku , T. Okuda , Y. Omura , M. Ono , A. Oshima , H. Oshima , S. Ozawa , I. H. Park , K. Y. Park , M. Potts , M. S. Pshirkov , J. Remington , D. C. Rodriguez , C. Rott , G. I. Rubtsov , D. Ryu , H. Sagawa , R. Saito , N. Sakaki , T. Sako , N. Sakurai , D. Sato , K. Sato , S. Sato , K. Sekino , P. D. Shah , N. Shibata , T. Shibata , J. Shikita , H. Shimodaira , B. K. Shin , H. S. Shin , D. Shinto , J. D. Smith , P. Sokolsky , B. T. Stokes , T. A. Stroman , Y. Takagi , K. Takahashi , M. Takamura , M. Takeda , R. Takeishi , A. Taketa , M. Takita , Y. Tameda , K. Tanaka , M. Tanaka , Y. Tanoue , S. B. Thomas , G. B. Thomson , P. Tinyakov , I. Tkachev , H. Tokuno , T. Tomida , S. Troitsky , R. Tsuda , Y. Tsunesada , S. Udo , F. Urban , D. Warren , T. Wong , K. Yamazaki , K. Yashiro , F. Yoshida , Y. Zhezher , Z. Zundel

In this paper we will discuss the problem of Ultra High Energy Cosmic Rays (UHECR) and show that the idea of a Single Source Model established by Erlykin and Wolfendale (1997) to explain the features seen in cosmic ray energy spectra around…

Astrophysics · Physics 2009-11-10 Tadeusz Wibig

Radio galaxies are intensively discussed as the sources of cosmic rays observed above about $3\,{\times}\,10^{18}\,\text{eV}$, called ultra-high energy cosmic rays (UHECRs). We present a first, systematic approach that takes the individual…

High Energy Astrophysical Phenomena · Physics 2018-03-09 Björn Eichmann , Jörg P. Rachen , Lukas Merten , Arjen van Vliet , Julia Becker Tjus

We propose that a hierarchical shock model$\unicode{x2014}$including supernova remnant shocks, galactic wind termination shocks, and accretion shocks around cosmic filaments and galaxy clusters$\unicode{x2014}$can naturally explain the…

High Energy Astrophysical Phenomena · Physics 2026-02-10 Paul Simeon , Noémie Globus , Kirk S. S. Barrow , Roger Blandford

While several arguments can be proposed against the existence of particles with energy in excess of $(3-5)\times 10^{19}$ eV in the cosmic ray spectrum, these particles are actually observed and their origin seeks for an explanation. After…

Astrophysics · Physics 2007-05-23 Pasquale Blasi

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