@article{cc906c2cde59488c90c1e7c40e48190f,
title = "Measurement of the cosmic-ray energy spectrum above 2.5×1018 eV using the Pierre Auger Observatory",
abstract = "We report a measurement of the energy spectrum of cosmic rays for energies above 2.5×1018 eV based on 215,030 events recorded with zenith angles below 60°. 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 5×1019 eV. The principal conclusions are(1) The flattening of the spectrum near 5×1018 eV, the so-called {"}ankle,{"}is confirmed.(2) The steepening of the spectrum at around 5×1019 eV is confirmed.(3) A new feature has been identified in the spectrum: in the region above the ankle the spectral index γ of the particle flux (∝E-γ) changes from 2.51±0.03 (stat)±0.05 (syst) to 3.05±0.05 (stat)±0.10 (syst) before changing sharply to 5.1±0.3 (stat)±0.1 (syst) above 5×1019 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 8×1018 eV.",
author = "{(The Pierre Auger Collaboration)} and A. Aab and P. Abreu and M. Aglietta and Albury, {J. M.} and I. Allekotte and A. Almela and {Alvarez Castillo}, J. and J. Alvarez-Mu{\~n}iz and {Alves Batista}, R. and Anastasi, {G. A.} and L. Anchordoqui and B. Andrada and S. Andringa and C. Aramo and {Ara{\'u}jo Ferreira}, {P. R.} and H. Asorey and P. Assis and G. Avila and Badescu, {A. M.} and A. Bakalova and A. Balaceanu and F. Barbato and {Barreira Luz}, {R. J.} and Becker, {K. H.} and Bellido, {J. A.} and C. Berat and Bertaina, {M. E.} and X. Bertou and Biermann, {P. L.} and T. Bister and J. Biteau and A. Blanco and J. Blazek and C. Bleve and M. Boh{\'a}{\v c}ov{\'a} and D. Boncioli and C. Bonifazi and {Bonneau Arbeletche}, L. and N. Borodai and Botti, {A. M.} and J. Brack and T. Bretz and Briechle, {F. L.} and P. Buchholz and A. Bueno and S. Buitink and M. Buscemi and Caballero-Mora, {K. S.} and L. Caccianiga and M. Mostaf{\'a}",
note = "Funding Information: The successful installation, commissioning, and operation of the Pierre Auger Observatory would not have been possible without the strong commitment and effort from the technical and administrative staff in Malarg{\"u}e. We are very grateful to the following agencies and organizations for financial support: Argentina—Comisi{\'o}n Nacional de Energ{\'i}a At{\'o}mica; Agencia Nacional de Promoci{\'o}n Cient{\'i}fica y Tecnol{\'o}gica (ANPCyT); Consejo Nacional de Investigaciones Cient{\'i}ficas y T{\'e}cnicas (CONICET); Gobierno de la Provincia de Mendoza; Municipalidad de Malarg{\"u}e; NDM Holdings and Valle Las Le{\~n}as; in gratitude for their continuing cooperation over land access; Australia—the Australian Research Council; Brazil—Conselho Nacional de Desenvolvimento Cient{\'i}fico e Tecnol{\'o}gico (CNPq); Financiadora de Estudos e Projetos (FINEP); Funda{\c c}{\~a}o de Amparo {\`a} Pesquisa do Estado de Rio de Janeiro (FAPERJ); S{\~a}o Paulo Research Foundation (FAPESP) Grants No. 2019/10151-2, No. 2010/07359-6 and No. 1999/05404-3; Minist{\'e}rio da Ci{\^e}ncia, Tecnologia, Inova{\c c}{\~o}es e Comunica{\c c}{\~o}es (MCTIC); Czech Republic—Grants No. MSMT CR LTT18004, LM2015038, LM2018102, CZ.02.1.01/0.0/0.0/16_013/0001402, CZ.02.1.01/0.0/0.0/18_046/0016010 and CZ.02.1.01/0.0/0.0/17_049/0008422; France—Centre de Calcul IN2P3/CNRS; Centre National de la Recherche Scientifique (CNRS); Conseil R{\'e}gional Ile-de-France; D{\'e}partement Physique Nucl{\'e}aire et Corpusculaire (PNC-IN2P3/CNRS); D{\'e}partement Sciences de l{\textquoteright}Univers (SDU-INSU/CNRS); Institut Lagrange de Paris (ILP) Grant No. LABEX ANR-10-LABX-63 within the Investissements d{\textquoteright}Avenir Programme Grant No. ANR-11-IDEX-0004-02; Germany—Bundesministerium f{\"u}r Bildung und Forschung (BMBF); Deutsche Forschungsgemeinschaft (DFG); Finanzministerium Baden-W{\"u}rttemberg; Helmholtz Alliance for Astroparticle Physics (HAP); Helmholtz-Gemeinschaft Deutscher Forschungszentren (HGF); Ministerium f{\"u}r Innovation, Wissenschaft und Forschung des Landes Nordrhein-Westfalen; Ministerium f{\"u}r Wissenschaft, Forschung und Kunst des Landes Baden-W{\"u}rttemberg; Italy—Istituto Nazionale di Fisica Nucleare (INFN); Istituto Nazionale di Astrofisica (INAF); Ministero dell{\textquoteright}Istruzione, dell{\textquoteright}Universit{\'a} e della Ricerca (MIUR); CETEMPS Center of Excellence; Ministero degli Affari Esteri (MAE); M{\'e}xico—Consejo Nacional de Ciencia y Tecnolog{\'i}a (CONACYT) No. 167733; Universidad Nacional Aut{\'o}noma de M{\'e}xico (UNAM); PAPIIT DGAPA-UNAM; The Netherlands—Ministry of Education, Culture and Science; Netherlands Organisation for Scientific Research (NWO); Dutch national e-infrastructure with the support of SURF Cooperative; Poland -Ministry of Science and Higher Education, Grant No. DIR/WK/2018/11; National Science Centre, Grants No. 2013/08/M/ST9/00322, No. 2016/23/B/ST9/01635 and No. HARMONIA 5–2013/10/M/ST9/00062, UMO-2016/22/M/ST9/00198; Portugal—Portuguese national funds and FEDER funds within Programa Operacional Factores de Competitividade through Funda{\c c}{\~a}o para a Ci{\^e}ncia e a Tecnologia (COMPETE); Romania—Romanian Ministry of Education and Research, the Program Nucleu within MCI (PN19150201/16N/2019 and PN19060102) and project PN-III-P1-1.2-PCCDI-2017-0839/19PCCDI/2018 within PNCDI III; Slovenia—Slovenian Research Agency, Grants No. P1-0031, P1-0385, I0-0033, N1-0111; Spain—Ministerio de Econom{\'i}a, Industria y Competitividad (FPA2017-85114-P and FPA2017-85197-P), Xunta de Galicia (ED431C 2017/07), Junta de Andaluc{\'i}a (SOMM17/6104/UGR), Feder Funds, RENATA Red Nacional Tem{\'a}tica de Astropart{\'i}culas (FPA2015-68783-REDT) and Mar{\'i}a de Maeztu Unit of Excellence (MDM-2016-0692); USA—Department of Energy, Contracts No. DE-AC02-07CH11359, No. DE-FR02-04ER41300, No. DE-FG02-99ER41107 and No. DE-SC0011689; National Science Foundation, Grant No. 0450696; The Grainger Foundation; Marie Curie-IRSES/EPLANET; European Particle Physics Latin American Network; and UNESCO. Publisher Copyright: {\textcopyright} 2020 authors. Published by the American Physical Society.",
year = "2020",
month = sep,
doi = "10.1103/PhysRevD.102.062005",
language = "English (US)",
volume = "102",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "6",
}