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Measurement of the Depth of Maximum of Air-Shower Profiles with energies between $\mathbf{10^{18.5}}$ and $\mathbf{10^{20}}$ eV using the Surface Detector of the Pierre Auger Observatory and Deep Learning

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arxiv 2406.06319 v3 pith:UUIZYHDL submitted 2024-06-10 astro-ph.HE astro-ph.IM

The Pierre Auger Collaboration: A. Abdul Halim , P. Abreu , M. Aglietta , I. Allekotte , K. Almeida Cheminant , A. Almela , R. Aloisio , J. Alvarez-Muñiz
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J. Ammerman Yebra G.A. Anastasi L. Anchordoqui B. Andrada L. Andrade Dourado S. Andringa L. Apollonio C. Aramo P.R. Araújo Ferreira E. Arnone J.C. Arteaga Velázquez P. Assis G. Avila E. Avocone A. Bakalova F. Barbato A. Bartz Mocellin C. Berat M.E. Bertaina G. Bhatta M. Bianciotto P.L. Biermann V. Binet K. Bismark T. Bister J. Biteau J. Blazek C. Bleve 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 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 M.R. Coluccia R. Conceição A. Condorelli 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 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 J.A. do M. Dobre C. Dobrigkeit J.C. D'Olivo L.M. Domingues Mendes Q. Dorosti J.C. dos Anjos R.C. dos Anjos J. Ebr F. Ellwanger M. Emam R. Engel I. Epicoco M. Erdmann A. Etchegoyen C. Evoli H. Falcke G. Farrar A.C. Fauth T. Fehler F. Feldbusch F. Fenu A. Fernandes B. Fick J.M. Figueira P. Filip A. Filipčič T. Fitoussi B. Flaggs T. Fodran T. Fujii A. Fuster C. Galea B. García C. Gaudu A. Gherghel-Lascu P.L. Ghia U. Giaccari J. Glombitza 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 E. Guido L. Gülzow S. Hahn P. Hamal M.R. Hampel P. Hansen D. Harari V.M. Harvey A. Haungs T. Hebbeker C. Hojvat J.R. Hörandel P. Horvath M. Hrabovský T. Huege A. Insolia P.G. Isar P. Janecek V. Jilek J.A. Johnsen J. Jurysek K.-H. Kampert B. Keilhauer A. Khakurdikar V.V. Kizakke Covilakam H.O. Klages M. Kleifges F. Knapp J. Köhler F. Krieger N. Kunka B.L. Lago N. Langner M.A. Leigui de Oliveira Y. Lema-Capeans A. Letessier-Selvon I. Lhenry-Yvon L. Lopes L. Lu Q. Luce J.P. Lundquist A. Machado Payeras M. Majercakova D. Mandat B.C. Manning P. Mantsch F.M. Mariani A.G. Mariazzi I.C. Mariş G. Marsella D. Martello S. Martinelli O. Martínez Bravo 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 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 V. Novotny L. Nožka A. Nucita L.A. Núñez C. Oliveira 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. Pothast M. Pourmohammad Shahvar P. Privitera M. Prouza S. Querchfeld J. Rautenberg D. Ravignani J.V. Reginatto Akim M. Reininghaus A. Reuzki J. Ridky F. Riehn M. Risse V. Rizi W. Rodrigues de Carvalho E. Rodriguez J. Rodriguez Rojo M.J. Roncoroni S. Rossoni M. Roth E. Roulet A.C. Rovero A. Saftoiu M. Saharan F. Salamida H. Salazar G. Salina J.D. Sanabria Gomez F. Sánchez E.M. Santos E. Santos F. Sarazin R. Sarmento R. Sato P. Savina C.M. Schäfer 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. Smau 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 Z. Szadkowski F. Tairli A. Tapia C. Taricco C. Timmermans O. Tkachenko P. Tobiska C.J. Todero Peixoto B. Tomé Z. Torrès A. Travaini P. Travnicek M. Tueros M. Unger R. Uzeiroska L. Vaclavek M. Vacula J.F. Valdés Galicia L. Valore E. Varela V. Vašíčková A. Vásquez-Ramírez D. Veberič I.D. Vergara Quispe V. Verzi J. Vicha J. Vink S. Vorobiov C. Watanabe A.A. Watson A. Weindl L. Wiencke H. Wilczyński D. Wittkowski B. Wundheiler B. Yue A. Yushkov O. Zapparrata E. Zas D. Zavrtanik M. Zavrtanik
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abstract

We report an investigation of the mass composition of cosmic rays with energies from 3 to 100 EeV (1 EeV=$10^{18}$ eV) using the distributions of the depth of shower maximum $X_\mathrm{max}$. The analysis relies on ${\sim}50,000$ events recorded by the Surface Detector of the Pierre Auger Observatory and a deep-learning-based reconstruction algorithm. Above energies of 5 EeV, the data set offers a 10-fold increase in statistics with respect to fluorescence measurements at the Observatory. After cross-calibration using the Fluorescence Detector, this enables the first measurement of the evolution of the mean and the standard deviation of the $X_\mathrm{max}$ distributions up to 100 EeV. Our findings are threefold: (1.) The evolution of the mean logarithmic mass towards a heavier composition with increasing energy can be confirmed and is extended to 100 EeV. (2.) The evolution of the fluctuations of $X_\mathrm{max}$ towards a heavier and purer composition with increasing energy can be confirmed with high statistics. We report a rather heavy composition and small fluctuations in $X_\mathrm{max}$ at the highest energies. (3.) We find indications for a characteristic structure beyond a constant change in the mean logarithmic mass, featuring three breaks that are observed in proximity to the ankle, instep, and suppression features in the energy spectrum.

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Cited by 3 Pith papers

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  1. Measurement and Interpretation of UHECR Mass Composition at the Pierre Auger Observatory

    astro-ph.HE 2025-07 conditional novelty 5.0 of 10

    Auger Phase I data show UHECR composition is mixed and grows heavier above a few EeV, with no robust north-south FD difference.

  2. Consequences of a Heavy-Metal Scenario of Ultra-High-Energy Cosmic Rays

    astro-ph.HE 2025-02 conditional novelty 5.0 of 10

    Assuming pure iron cosmic rays above 40 EeV, the paper derives constant Xmax scale shifts for QGSJet II-04 and Sibyll 2.3d, yielding a consistent mass-composition model for Auger data.

  3. Reconstructing Air-Shower Observables using a Universality-Based Model at the Pierre Auger Observatory

    astro-ph.HE 2025-07 conditional novelty 4.0 of 10

    A universality-based fit to surface-detector time traces can reconstruct Xmax and muon number, giving preliminary composition results for cosmic rays above 4 EeV, though the mean Xmax scale is calibrated to fluorescence data.

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