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Measurement of the cosmic-ray energy spectrum above $2.5{\times} 10^{18}$ eV using the Pierre Auger Observatory

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arxiv 2008.06486 v2 pith:ADMWJH2I submitted 2020-08-14 astro-ph.HE

The Pierre Auger Collaboration: A. Aab , P. Abreu , M. Aglietta , J.M. Albury , I. Allekotte , A. Almela , J. Alvarez Castillo , J. Alvarez-Muñiz
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R. Alves Batista G.A. Anastasi L. Anchordoqui B. Andrada S. Andringa C. Aramo P.R. Araújo Ferreira H. Asorey P. Assis G. Avila A.M. Badescu A. Bakalova A. Balaceanu F. Barbato R.J. Barreira Luz K.H. Becker J.A. Bellido C. Berat M.E. Bertaina X. Bertou P.L. Biermann T. Bister J. Biteau A. Blanco J. Blazek C. Bleve M. Boháčová D. Boncioli C. Bonifazi L. Bonneau Arbeletche N. Borodai A.M. Botti J. Brack T. Bretz F.L. Briechle P. Buchholz A. Bueno S. Buitink M. Buscemi K.S. Caballero-Mora L. Caccianiga L. Calcagni A. Cancio F. Canfora I. Caracas J.M. Carceller R. Caruso A. Castellina F. Catalani G. Cataldi L. Cazon M. Cerda J.A. Chinellato K. Choi 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 C.E. Covault S. Dasso K. Daumiller B.R. Dawson J.A. Day R.M. de Almeida J. de Jesús S.J. de Jong G. De Mauro J.R.T. de Mello Neto I. De Mitri J. de Oliveira D. de Oliveira Franco V. de Souza E. De Vito J. Debatin M. del Río O. Deligny H. Dembinski N. Dhital C. Di Giulio A. Di Matteo M.L. Díaz Castro C. Dobrigkeit J.C. D'Olivo Q. Dorosti 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. Fodran M.M. Freire 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 M. Giller J. Glombitza F. Gobbi F. Gollan G. Golup M. Gómez Berisso P.F. Gómez Vitale J.P. Gongora N. González I. Goos D. Góra A. Gorgi M. Gottowik T.D. Grubb F. Guarino G.P. Guedes E. Guido S. Hahn R. Halliday 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 J. Hulsman A. Insolia P.G. Isar J.A. Johnsen J. Jurysek A. Kääpä K.H. Kampert B. Keilhauer J. Kemp H.O. Klages M. Kleifges J. Kleinfeller M. Köpke G. Kukec Mezek B.L. Lago D. LaHurd R.G. Lang M.A. Leigui de Oliveira V. Lenok A. Letessier-Selvon I. Lhenry-Yvon D. Lo Presti L. Lopes R. López R. Lorek Q. Luce A. Lucero A. Machado Payeras M. Malacari G. Mancarella D. Mandat B.C. Manning J. Manshanden P. Mantsch S. Marafico A.G. Mariazzi I.C. Mariş G. Marsella D. Martello H. Martinez O. Martínez Bravo M. Mastrodicasa H.J. Mathes J. Matthews G. Matthiae E. Mayotte P.O. Mazur G. Medina-Tanco D. Melo A. Menshikov K.-D. Merenda S. Michal M.I. Micheletti L. Miramonti D. Mockler S. Mollerach F. Montanet C. Morello M. Mostafá A.L. Müller M.A. Muller K. Mulrey R. Mussa M. Muzio W.M. Namasaka L. Nellen P.H. Nguyen M. Niculescu-Oglinzanu M. Niechciol D. Nitz D. Nosek V. Novotny L. Nožka A Nucita L.A. Núñez M. Palatka J. Pallotta M.P. Panetta P. Papenbreer G. Parente A. Parra M. Pech F. Pedreira J. Pękala R. Pelayo J. Peña-Rodriguez J. Perez Armand M. Perlin L. Perrone C. Peters S. Petrera 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 P. Ristori V. Rizi W. Rodrigues de Carvalho G. Rodriguez Fernandez J. Rodriguez Rojo M.J. Roncoroni M. Roth E. Roulet A.C. Rovero P. Ruehl S.J. Saffi A. Saftoiu 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. Schäfer V. Scherini H. Schieler M. Schimassek M. Schimp F. Schlüter D. Schmidt O. Scholten P. Schovánek F.G. Schröder S. Schröder A. Schulz S.J. Sciutto M. Scornavacche R.C. Shellard G. Sigl G. Silli O. Sima R. Šmída P. Sommers J.F. Soriano J. Souchard R. Squartini M. Stadelmaier D. Stanca S. Stanič J. Stasielak P. Stassi A. Streich M. Suárez-Durán T. Sudholz T. Suomijärvi A.D. Supanitsky J. Šupík Z. Szadkowski A. Taboada A. Tapia C. Timmermans O. Tkachenko P. Tobiska C.J. Todero Peixoto B. Tomé G. Torralba Elipe A. Travaini P. Travnicek C. Trimarelli M. Trini M. Tueros R. Ulrich M. Unger M. Urban L. Vaclavek M. Vacula J.F. Valdés Galicia I. Valiño L. Valore A. van Vliet E. Varela B. Vargas Cárdenas A. Vásquez-Ramírez D. Veberič C. Ventura I.D. Vergara Quispe V. Verzi J. Vicha L. Villaseñor J. Vink S. Vorobiov H. Wahlberg A.A. Watson M. Weber A. Weindl L. Wiencke H. Wilczyński T. Winchen M. Wirtz D. Wittkowski B. Wundheiler A. Yushkov O. Zapparrata E. Zas D. Zavrtanik M. Zavrtanik L. Zehrer A. Zepeda M. Ziolkowski F. Zuccarello
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abstract

We report a measurement of the energy spectrum of cosmic rays for energies above $2.5 {\times} 10^{18}~$eV based on 215,030 events recorded with zenith angles below $60^\circ$. A key feature of the work is that the estimates of the energies are independent of assumptions about the unknown hadronic physics or of the primary mass composition. The measurement is the most precise made hitherto with the accumulated exposure being so large that the measurements of the flux are dominated by systematic uncertainties except at energies above $5 {\times} 10^{19}~$eV. The principal conclusions are: (1) The flattening of the spectrum near $5 {\times} 10^{18}~$eV, the so-called "ankle", is confirmed. (2) The steepening of the spectrum at around $5 {\times} 10^{19}~$eV is confirmed. (3) A new feature has been identified in the spectrum: in the region above the ankle the spectral index $\gamma$ of the particle flux ($\propto E^{-\gamma}$) changes from $2.51 \pm 0.03~{\rm (stat.)} \pm 0.05~{\rm (sys.)}$ to $3.05 \pm 0.05~{\rm (stat.)} \pm 0.10~{\rm (sys.)}$ before changing sharply to $5.1 \pm 0.3~{\rm (stat.)} \pm 0.1~{\rm (sys.)}$ above $5 {\times} 10^{19}~$eV. (4) No evidence for any dependence of the spectrum on declination has been found other than a mild excess from the Southern Hemisphere that is consistent with the anisotropy observed above $8 {\times} 10^{18}~$eV.

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