Energy Spectrum of Ultrahigh-Energy Cosmic Rays across Declinations <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mo>−</mml:mo> <mml:mn>9</mml:mn> <mml:mn>0</mml:mn> <mml:mi>°</mml:mi> </mml:math> to <mml:math xmlns:
The energy spectrum of cosmic rays above 2.5 EeV has been measured across the declination range -90°≤δ≤+44.8° using ∼310 000 events accrued at the Pierre Auger Observatory from an exposure of (104 900±3 100) km^{2} sr yr. No significant variations of energy spectra with declination are observed, after allowing or not for nonuniformities across the sky arising from the well-established dipolar anisotropies in the arrival directions of ultrahigh-energy cosmic rays. The instep feature in the spectrum at ≃10 EeV reported previously is now established at a significance above 5σ. Within the statistics, the energy spectra are indistinguishable across declinations so disfavoring an origin for the instep from a few distinctive sources.
Authors
- Zbigniew Szadkowski (ORCID: https://orcid.org/0000-0002-2690-9912)
- T. Paulsen
- P. J. Costa (ORCID: https://orcid.org/0000-0001-6656-443X)
- A. Haungs
- Bruno L. Lago (ORCID: https://orcid.org/0000-0001-9672-0499)
- R. M. de Almeida
- S. Stanič
- Giovanni Consolati (ORCID: https://orcid.org/0000-0003-3614-245X)
- S. Petrera (ORCID: https://orcid.org/0000-0002-6029-1255)
- Varada Varma Kizakke Covilakam (ORCID: https://orcid.org/0000-0001-5278-3172)
- T. Pierog (ORCID: https://orcid.org/0000-0002-7472-8710)
- G. Sigl (ORCID: https://orcid.org/0000-0002-4396-645X)
- T. Huege (ORCID: https://orcid.org/0000-0002-2783-4772)
- Marta Bianciotto (ORCID: https://orcid.org/0000-0002-9599-3214)
- R. Squartini
- Nicolas Leal
- J. de Jesús
- Carlo Salvattore Cruz Sanchez (ORCID: https://orcid.org/0009-0002-6173-0974)
- Frank Schröder (ORCID: https://orcid.org/0000-0001-8495-7210)
- A. C. Fauth (ORCID: https://orcid.org/0000-0001-7239-0288)
- Enrique Varela (ORCID: https://orcid.org/0000-0003-0715-7513)
- O. Schölten (ORCID: https://orcid.org/0000-0003-3649-1254)
- K. Nguyen (ORCID: https://orcid.org/0000-0001-5839-9569)
- Juan Rojo (ORCID: https://orcid.org/0000-0003-4279-2192)
- Olena Tkachenko (ORCID: https://orcid.org/0000-0001-6393-7851)
- Lukáš Vaclavek (ORCID: https://orcid.org/0000-0002-0910-3415)
- B. R. Dawson (ORCID: https://orcid.org/0000-0002-4271-3055)
- A. Novikov
- B. Wundheiler
- Jill Meinert
- F. Montanet
- J. P. Gongora
- Dalibor Nosek (ORCID: https://orcid.org/0000-0001-6219-200X)
- S. Michal
- P. Savina
- G. Parente (ORCID: https://orcid.org/0000-0003-2847-0461)
- P. H. Hansen (ORCID: https://orcid.org/0000-0002-6764-4789)
- F. M. Mariani (ORCID: https://orcid.org/0000-0002-1683-1162)
- Paula Gina Isar (ORCID: https://orcid.org/0000-0002-1241-584X)
- Emanuele De Vito (ORCID: https://orcid.org/0000-0003-2045-7588)
- Dušan Mandát (ORCID: https://orcid.org/0000-0001-7748-7468)
- A. Fernandes (ORCID: https://orcid.org/0009-0000-3687-9182)
- M. Roth (ORCID: https://orcid.org/0000-0003-1281-4477)
- Adila Abdul Halim (ORCID: https://orcid.org/0000-0003-1218-1737)
- Gonzalo Rodriguez Fernandez (ORCID: https://orcid.org/0000-0002-4683-230X)
- Jiří Blažek (ORCID: https://orcid.org/0000-0002-5870-8947)
- J. Matthews
- Adriel Bartz Mocellin
- Berenika Čermáková
- S. J. de Jong (ORCID: https://orcid.org/0000-0002-3120-3367)
- F. Campuzano (ORCID: https://orcid.org/0000-0001-7172-3095)
- S. U. Shivashankara
- K. Pytel
- H. O. Klages
- V. Rizi (ORCID: https://orcid.org/0000-0002-5277-6527)
- Armando di Matteo (ORCID: https://orcid.org/0000-0002-8260-1867)
- Andres Travaini (ORCID: https://orcid.org/0000-0001-7875-2147)
- Alexey Yushkov (ORCID: https://orcid.org/0000-0001-5107-9116)
- K. Daumiller (ORCID: https://orcid.org/0000-0002-0527-4823)
- A. Insolia (ORCID: https://orcid.org/0000-0002-9040-1566)
- S. Martinelli
- Lorenzo Caccianiga (ORCID: https://orcid.org/0000-0002-2245-5108)
- Darko Veberič (ORCID: https://orcid.org/0000-0003-2683-1526)
- L. Nellen (ORCID: https://orcid.org/0000-0003-1059-8731)
- M. Kleifges
- Viviana Scherini (ORCID: https://orcid.org/0000-0003-3762-4063)
- Gabriela Nicora (ORCID: https://orcid.org/0000-0001-7504-6423)
- L. Östman
- Katarína Simkova (ORCID: https://orcid.org/0000-0003-2363-9846)
- R. Caruso (ORCID: https://orcid.org/0000-0003-1622-8731)
- I. Allekotte (ORCID: https://orcid.org/0000-0002-9624-3044)
- F. Sarazin (ORCID: https://orcid.org/0000-0001-5614-1986)
- V. Verzi (ORCID: https://orcid.org/0000-0003-2291-9387)
- Luis A. Núñez
- M. Saharan (ORCID: https://orcid.org/0000-0001-7193-5506)
- Fernando Gollan (ORCID: https://orcid.org/0000-0002-0495-2768)
- M. Cristinziani (ORCID: https://orcid.org/0000-0003-3893-9171)
- E. Zas (ORCID: https://orcid.org/0000-0002-4430-8117)
- A. Etchegoyen (ORCID: https://orcid.org/0000-0001-6989-2404)
- F. Barbato
- C. Oliveira
- L. Miramonti (ORCID: https://orcid.org/0000-0002-2808-5363)
- F. Simon (ORCID: https://orcid.org/0000-0002-5978-0289)
- Juan Carlos D’Olivo
- F. Salamida (ORCID: https://orcid.org/0000-0002-9306-8447)
- P. Trávnı́ček (ORCID: https://orcid.org/0000-0002-1655-9584)
- A. Menshikov
- Benjamin Flaggs (ORCID: https://orcid.org/0000-0002-5549-1869)
- P. Hamal (ORCID: https://orcid.org/0000-0003-3139-7234)
- A. D. Supanitsky (ORCID: https://orcid.org/0000-0002-6942-6216)
- R. Mussa (ORCID: https://orcid.org/0000-0002-0294-9071)
- Steffen Hahn (ORCID: https://orcid.org/0000-0001-5040-3666)
- Fiona H. Ellwanger
- A. Castellina (ORCID: https://orcid.org/0000-0002-0045-2467)
- J. Vícha (ORCID: https://orcid.org/0000-0002-7945-3605)
- Jaime Álvarez-Muñiz (ORCID: https://orcid.org/0000-0002-2367-0803)
- Jose F. Valdés Galicia
- Denise Boncioli (ORCID: https://orcid.org/0000-0003-1186-9353)
- L. Chytka (ORCID: https://orcid.org/0000-0001-5741-259X)
- Martin Vacula (ORCID: https://orcid.org/0000-0003-4844-3962)
- Vladimír Novotný (ORCID: https://orcid.org/0000-0002-4319-4541)
- G. Medina-Tanco
- Miguel A. Martins (ORCID: https://orcid.org/0000-0002-7294-6204)
- F. Guarino (ORCID: https://orcid.org/0000-0003-1427-9885)
- M. Erdmann (ORCID: https://orcid.org/0000-0002-1653-1303)
- Jarosław Stasielak (ORCID: https://orcid.org/0000-0002-9284-7000)
- E. Arnone
- H. Falcke (ORCID: https://orcid.org/0000-0002-2526-6724)
- A. Letessier‐Selvon (ORCID: https://orcid.org/0000-0002-2044-3103)
- C. E. Covault (ORCID: https://orcid.org/0000-0001-5405-5371)
- Alex Tapia (ORCID: https://orcid.org/0000-0003-0585-7161)
- P. Abreu (ORCID: https://orcid.org/0000-0002-9973-7314)
- M. Boháčová
- C. Aramo (ORCID: https://orcid.org/0000-0002-8412-3846)
- M. A. Leigui de Oliveira (ORCID: https://orcid.org/0000-0001-9067-1577)
- L. Nožka
- M. Palatka (ORCID: https://orcid.org/0000-0003-2061-6059)
- I. De Mitri (ORCID: https://orcid.org/0000-0002-8665-1730)
- K. S. Caballero‐Mora (ORCID: https://orcid.org/0000-0002-4042-3855)
- D. Martello (ORCID: https://orcid.org/0000-0003-2046-3910)
- Antonio Franco (ORCID: https://orcid.org/0000-0001-7707-4241)
- L. Perrone
- Roberto Aloisio (ORCID: https://orcid.org/0000-0003-0161-5923)
- M. Straub (ORCID: https://orcid.org/0000-0003-3060-7754)
- Bjarni Pont (ORCID: https://orcid.org/0000-0002-2578-5364)
- Simone Rossoni
- S. Buitink (ORCID: https://orcid.org/0000-0002-6177-497X)
- M. Zavrtanik
- Juan Ammerman Yebra (ORCID: https://orcid.org/0000-0002-2059-6206)
- Edivaldo Moura Santos (ORCID: https://orcid.org/0000-0002-2818-8813)
- Violet M. Harvey (ORCID: https://orcid.org/0000-0002-6764-4789)
- Achille Nucita (ORCID: https://orcid.org/0000-0002-7926-3481)
- Hermann-Josef Mathes (ORCID: https://orcid.org/0000-0002-0680-040X)
- P. Mantsch (ORCID: https://orcid.org/0000-0002-8382-7745)
- C. Petrucci (ORCID: https://orcid.org/0000-0003-3751-581X)
- Rukije Uzeiroska
- E. Rodrı́guez (ORCID: https://orcid.org/0000-0001-6827-9077)
- Nicolás Martín González (ORCID: https://orcid.org/0000-0001-6566-2222)
- Toshihiro Fujii (ORCID: https://orcid.org/0000-0003-2401-504X)
- Nicolas San Martin
- Luis Miguel Domingues Mendes (ORCID: https://orcid.org/0000-0003-0651-9404)
- Zuzana Svozilikova (ORCID: https://orcid.org/0000-0001-5210-0781)
- M. Pech (ORCID: https://orcid.org/0000-0002-8421-0456)
- Maximilian Stadelmaier (ORCID: https://orcid.org/0000-0002-7943-6012)
- P. Assis (ORCID: https://orcid.org/0000-0001-7765-3606)
- Bin Yue (ORCID: https://orcid.org/0000-0002-7829-1181)
- T. Hebbeker (ORCID: https://orcid.org/0000-0002-9736-266X)
- M. Mallamaci (ORCID: https://orcid.org/0000-0003-4068-0496)
- Alena Bakalová (ORCID: https://orcid.org/0000-0003-1001-4484)
- Peter L. Biermann (ORCID: https://orcid.org/0000-0003-3948-6143)
- Jan Ebr (ORCID: https://orcid.org/0000-0001-8807-6162)
- Anthony Bwembya (ORCID: https://orcid.org/0000-0002-6995-5978)
- J. A. Chinellato (ORCID: https://orcid.org/0000-0002-1236-0789)
- P. Janecek
- S. Andringa (ORCID: https://orcid.org/0000-0002-6397-9207)
- Jorge Caraça-Valente
- A. Vásquez-Ramírez
- Felix Riehn (ORCID: https://orcid.org/0000-0001-8434-7500)
- David Schmidt (ORCID: https://orcid.org/0000-0003-2005-4244)
- R. Conceição (ORCID: https://orcid.org/0000-0003-4945-5340)
- C. Bonifazi (ORCID: https://orcid.org/0000-0002-3087-3609)
- Jon Paul Lundquist (ORCID: https://orcid.org/0000-0002-4245-5092)
- Jan Pękala (ORCID: https://orcid.org/0000-0002-1062-5595)
- V.B. Jhansi (ORCID: https://orcid.org/0000-0002-2639-0049)
- F. Feldbusch
- U. Giaccari
- S. Vorobiov (ORCID: https://orcid.org/0000-0001-8679-3424)
- A. C. Cobos Cerutti (ORCID: https://orcid.org/0000-0002-0652-5460)
- E. Avocone
- A. Fuster (ORCID: https://orcid.org/0000-0001-6095-6838)
- M. Prouza (ORCID: https://orcid.org/0000-0002-3238-9597)
- H. Wilczyński (ORCID: https://orcid.org/0000-0003-2652-9685)
- Antonio Ambrosone (ORCID: https://orcid.org/0000-0002-9942-1029)
- M. Aglietta (ORCID: https://orcid.org/0000-0001-8354-5388)
- A. Gorgi (ORCID: https://orcid.org/0000-0002-8085-2304)
- C. Priyadarshi
- V. de Souza (ORCID: https://orcid.org/0000-0003-0865-233X)
- S. Dasso (ORCID: https://orcid.org/0000-0002-7680-4721)
- Luan Bonneau Arbeletche (ORCID: https://orcid.org/0000-0003-4544-9808)
- Fabio Convenga (ORCID: https://orcid.org/0000-0002-2841-1034)
- B. Tomé (ORCID: https://orcid.org/0000-0002-7564-8392)
- G. A. Anastasi
- Fernando Catalani (ORCID: https://orcid.org/0000-0001-9332-1476)
- Adrian Sedoski (ORCID: https://orcid.org/0000-0002-4253-3361)
- Radomir Šmída (ORCID: https://orcid.org/0000-0003-0122-1123)
- Eva Santos (ORCID: https://orcid.org/0000-0002-0474-8863)
- P. Sampathkumar (ORCID: https://orcid.org/0000-0002-4555-4512)
- M. Pimenta (ORCID: https://orcid.org/0000-0002-2590-0908)
- Niklas Langner (ORCID: https://orcid.org/0000-0001-7443-3042)
- Carmelo Evoli (ORCID: https://orcid.org/0000-0002-6023-5253)
- Matías Rolf Hampel (ORCID: https://orcid.org/0000-0001-7622-4826)
- M. Freitas (ORCID: https://orcid.org/0009-0004-8721-0023)
- D. Góra (ORCID: https://orcid.org/0000-0002-4853-5974)
- Francesco Palma (ORCID: https://orcid.org/0000-0001-7076-8830)
- L. Cazon
- R. C. dos Anjos (ORCID: https://orcid.org/0000-0002-6463-2272)
- A. Weindl
- J. Řídký (ORCID: https://orcid.org/0000-0001-6697-1393)
- B. Keilhauer (ORCID: https://orcid.org/0000-0003-4494-1155)
- G. Golup (ORCID: https://orcid.org/0000-0001-9471-8811)
- Stef Verpoest (ORCID: https://orcid.org/0000-0002-3031-3206)
- R. W. Clay (ORCID: https://orcid.org/0000-0002-9040-9648)
- Katharine Mulrey (ORCID: https://orcid.org/0000-0001-8026-8020)
- D. Ravignani
- Diego Correia dos Santos (ORCID: https://orcid.org/0000-0001-8243-6710)
- Mario Buscemi (ORCID: https://orcid.org/0000-0003-2123-5434)
- Vincent Pelgrims (ORCID: https://orcid.org/0000-0002-5053-3847)
- Olivier Deligny (ORCID: https://orcid.org/0000-0001-6863-6572)
- Chloé Gaudu (ORCID: https://orcid.org/0000-0002-2803-4873)
- Yago Lema-Capeans
- Carmen Merx
- Mohsen Pourmohammad Shahvar
- Lukas Gülzow (ORCID: https://orcid.org/0009-0001-0620-3525)
- S. Strähnz
- A. Cermenati
- N. Denner (ORCID: https://orcid.org/0009-0007-3527-0018)
- Sergio Cabana-Freire (ORCID: https://orcid.org/0000-0001-9261-1359)
- Beatriz de Errico (ORCID: https://orcid.org/0009-0002-4212-0708)
- João Vítor Reginatto Akim (ORCID: https://orcid.org/0000-0001-8179-9747)
- Fedor Tairli
- Alex Reuzki
- Tim Fehler
- Eric William Mayotte (ORCID: https://orcid.org/0000-0003-2618-9166)
- J.R. Hörandel (ORCID: https://orcid.org/0000-0001-6604-547X)
- M. Unger (ORCID: https://orcid.org/0000-0002-7651-0272)
- J. Chudoba (ORCID: https://orcid.org/0000-0002-6425-2579)
- A. De Roeck (ORCID: https://orcid.org/0000-0002-3234-6634)
- Danelise de Oliveira Franco (ORCID: https://orcid.org/0000-0002-8435-7730)
- Jacco Vink (ORCID: https://orcid.org/0000-0002-0816-9949)
- José Ochoa (ORCID: https://orcid.org/0009-0001-1395-4159)
- Teresa Bister (ORCID: https://orcid.org/0000-0003-4005-0857)
- K.‐H. Kampert (ORCID: https://orcid.org/0000-0002-2805-0195)
- Luiz Augusto Pereira (ORCID: https://orcid.org/0000-0002-3263-3203)
- Jose Sanabria Gomez (ORCID: https://orcid.org/0000-0002-4217-3212)
- B. Garćıa (ORCID: https://orcid.org/0000-0003-0919-2734)
- Marcus Niechciol (ORCID: https://orcid.org/0000-0001-6823-8056)
- Leonel Morejón (ORCID: https://orcid.org/0000-0003-1494-2624)
- J. Brack (ORCID: https://orcid.org/0000-0003-4096-2063)
- Igor Vaiman (ORCID: https://orcid.org/0000-0002-8255-3631)
- Juan Manuel González
- J. Schulte
- C. Berat
- A. Segreto
- E. Roulet
- P. Sommers
- R. Colalillo
- S. Mollerach
- F. Sánchez
- J. Pallotta
- H. Schieler
- P. O. Mazur
- R. Pelayo
- P. Privitera
- D. Zavrtanik
- J. Rautenberg
- C. Timmermans
- Carlos J. Todero Peixoto (ORCID: https://orcid.org/0000-0003-3669-8212)
- R. Sato
- A. Almela
- B. Andrada
- P. G. Brichetto Orchera
- S. Mayotte
- J. C. dos Anjos (ORCID: https://orcid.org/0000-0002-1487-9832)
- S. Querchfeld
- Margita Kubátová
- Melanie Weitz (ORCID: https://orcid.org/0009-0001-9010-9610)
- G. Salina
- R. Sarmento (ORCID: https://orcid.org/0000-0002-5018-5467)
- Pavel Horváth (ORCID: https://orcid.org/0000-0002-6710-5339)
- G. Marsella (ORCID: https://orcid.org/0000-0002-3152-8874)
- Nataliia Borodai (ORCID: https://orcid.org/0000-0003-1864-937X)
- Kévin Almeida Cheminant (ORCID: https://orcid.org/0000-0001-6352-5339)
- Martin Schimassek (ORCID: https://orcid.org/0000-0003-4295-7719)
- Humberto Antonio Salazar Ibarguen (ORCID: https://orcid.org/0000-0003-4556-7302)
- Markus Risse (ORCID: https://orcid.org/0000-0001-9660-8683)
- T. Fitoussi
- E. Guido
- M. Büsken
- N. Kunka
- Laura Valore
- C. Taricco
- T. Schulz
- J. de Oliveira
- F. L. Briechle
- J. Pawlowsky
- E. E. Pereira Martins
- W. M. Namasaka
- P. F. Gómez Vitale
- Virginia Binet
- Ioana Codrina Mariş (ORCID: https://orcid.org/0000-0002-5771-1124)
- Marina Scornavacche
- C. Dobrigkeit
- A. Bueno (ORCID: https://orcid.org/0000-0002-1930-3576)
- T. Suomijärvi
- A. G. Mariazzi
- J. A. Bellido
- R. Engel
- C. Galea
- A. Filipčič
- M. Schimp
- M. I. Micheletti
- J. Blümer
- Marcos Fernández
- M. Cerda (ORCID: https://orcid.org/0000-0002-9897-8132)
- A. A. Watson
- I. D. Vergara Quispe
- I. Epicoco
- A. Khakurdikar
- Juan Carlos Arteaga Velázquez
- A. Săftoiu (ORCID: https://orcid.org/0000-0002-7903-6510)
- L. Lopes (ORCID: https://orcid.org/0000-0001-8571-0033)
- Patrick Stassi (ORCID: https://orcid.org/0000-0001-5584-8410)
- P. L. Ghia (ORCID: https://orcid.org/0000-0003-1101-4857)
- S. J. Sciutto
- C. Hojvat
- G. Farrar
- G. Ávila
- Q. Dorosti
- Fabian Gobbi
- Jonathan Biteau
- P. Filip
- M. Gottowik
- L. Deval
- Subhash Chandra Panja
- K. Bismark
- D. Nitz
- H. Schoorlemmer
- B. Fick
- Miroslav Hrabovský
- M. E. Bertaina
- Vlastimil Jílek (ORCID: https://orcid.org/0000-0001-5774-7285)
- Marcelo Conte
- V. Vašíčková
- S. Negi (ORCID: https://orcid.org/0009-0002-7645-0940)
- I. Lhenry-Yvon
- D. Melo
- L. Anchordoqui
- G. Matthiae
- L. Apollonio
- C. Watanabe
- J. M. Figueira
- A.C. Rovero
- F. Krieger
- S. Sehgal
- G. P. Guedes
- C. Pérez Bertolli
- Jan Köhler
- L. Wiencke
- A. Del Popolo
- P. Tobiska
- M. Gómez Berisso
- M. Platino
- Luciana Andrade Dourado
- Petr Schovánek (ORCID: https://orcid.org/0000-0002-5344-7645)
- Tomáš Fodran (ORCID: https://orcid.org/0009-0000-9529-0853)
- Matias Jorge Tueros (ORCID: https://orcid.org/0000-0003-1570-1419)
- G. Cataldi (ORCID: https://orcid.org/0000-0001-8066-7718)
- Megha Mogarkar
- E.-T. de Boone
- Mohamed Ismaiel
- Karolina Syrokvas
- Matteo Tambone
- Pim van Dillen
Institutions
- Karlsruhe Institute of Technology (DE)
- Universidad Industrial de Santander (CO)
- University of Rome Tor Vergata (IT)
- Michigan Technological University (US)
- Louisiana State University (US)
- Universidade Federal do Rio de Janeiro (BR)
- National Technological University (AR)
- Centre National de la Recherche Scientifique (FR)
- Pennsylvania State University (US)
- University of Leeds (GB)
- Fermi National Accelerator Laboratory (US)
- Université Libre de Bruxelles (BE)
- Vrije Universiteit Brussel (BE)
- University of Lisbon (PT)
- University of Salento (IT)
- Radboud University Nijmegen (NL)
- Consejo Nacional de Investigaciones Científicas y Técnicas (AR)
- Federal Center for Technological Education Celso Suckow da Fonseca (BR)
- Universität Hamburg (DE)
- University of Wuppertal (DE)
- Colorado School of Mines (US)
- Universidad de Granada (ES)
- Universidad Michoacana de San Nicolás de Hidalgo (MX)
- City University of New York (US)
- Universidade de São Paulo (BR)
- Universidade Estadual de Campinas (UNICAMP) (BR)
- Institut Universitaire de France (FR)
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Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-10-22
- DOI
- https://doi.org/10.1103/p4l5-hxlf
- Citations
- 1
- Primary Topic
- Astrophysics and Cosmic Phenomena
- Type
- article
- Field-Weighted Citation Impact
- 1.87