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Measurement of the depth of maximum of air-shower profiles with energies between <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mn>10</mml:mn><mml:mn>18.5</mml:mn></mml:msup></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mn>10</mml:mn><mml:mn>20</mml:mn></mml:msup><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>eV</mml:mi></mml:math> using the surface detector of the Pierre Auger Observatory and deep learning

Adila Abdul HalimUniversity of AdelaideP. AbreuUniversidade de Lisboa—ULM. AgliettaINFNI. AllekotteCentro Atómico Bariloche and Instituto Balseiro (CNEA-UNCuyo-CONICET)Kévin Almeida CheminantInstitute of Nuclear Physics PANA. AlmelaInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM)Roberto AloisioGran Sasso Science InstituteJaime Álvarez-MuñizUniversidade de Santiago de CompostelaJuan Ammerman YebraUniversidade de Santiago de CompostelaGioacchino Alex AnastasiINFNL. AnchordoquiCity University of New YorkB. AndradaInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM)Luciana Andrade DouradoGran Sasso Science InstituteS. AndringaUniversidade de Lisboa—ULL. ApollonioINFNC. AramoP. R. Araújo FerreiraRWTH Aachen UniversityE. ArnoneINFNJ. C. Arteaga VelázquezUniversidad Michoacana de San Nicolás de HidalgoP. AssisUniversidade de Lisboa—ULG. ÁvilaObservatorio Pierre Auger and Comisión Nacional de Energía AtómicaEmanuele AvoconeINFN Laboratori Nazionali del Gran SassoAlena BakalováInstitute of Physics of the Czech Academy of SciencesFelicia BarbatoGran Sasso Science InstituteAdriel Bartz MocellinColorado School of MinesCorinne BératUniv. Grenoble AlpesM. E. BertainaINFNGopal BhattaInstitute of Nuclear Physics PANMarta BianciottoINFNPeter L. BiermannV. BinetInstituto de Física de Rosario (IFIR)—CONICET/U.N.R. and Facultad de Ciencias Bioquímicas y Farmacéuticas U.N.RKathrin BismarkInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM)Teresa BisterNationaal Instituut voor Kernfysica en Hoge Energie Fysica (NIKHEF)Jonathan BiteauUniversité Paris-SaclayJ. BlazekInstitute of Physics of the Czech Academy of SciencesC. BleveUniv. Grenoble AlpesJ. BlümerKarlsruhe Institute of Technology (KIT)M. BoháčováInstitute of Physics of the Czech Academy of SciencesDenise BoncioliINFN Laboratori Nazionali del Gran SassoC. BonifaziInternational Center of Advanced Studies and Instituto de Ciencias Físicas, ECyT-UNSAM and CONICET, Campus Miguelete—San MartínLuan Bonneau ArbeletcheUniversidade Estadual de Campinas (UNICAMP)Nataliia BorodaiInstitute of Nuclear Physics PANJ. BrackP. G. Brichetto OrcheraInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM)F. L. BriechleRWTH Aachen UniversityA. BuenoUniversidad de Granada and C.A.F.P.ES. BuitinkVrije Universiteit BrusselsMario BuscemiINFNMax BüskenInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM)Anthony BwembyaNationaal Instituut voor Kernfysica en Hoge Energie Fysica (NIKHEF)K. S. Caballero‐MoraUniversidad Autónoma de ChiapasS. Cabana-FreireUniversidade de Santiago de CompostelaLorenzo CaccianigaINFNF. CampuzanoInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM), and Universidad Tecnológica Nacional—Facultad Regional Mendoza (CONICET/CNEA)R. CarusoINFNA. CastellinaINFNF. CatalaniUniversidade de São PauloG. CataldiLorenzo CazonUniversidade de Santiago de CompostelaM. CerdaObservatorio Pierre AugerBerenika ČermákováKarlsruhe Institute of Technology (KIT)A. CermenatiGran Sasso Science InstituteC. DobrigkeitUniversidade Estadual de Campinas (UNICAMP)J. ChudobaInstitute of Physics of the Czech Academy of SciencesL. ChytkaPalacky UniversityR. W. ClayUniversity of AdelaideA. C. Cobos CeruttiInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM), and Universidad Tecnológica Nacional—Facultad Regional Mendoza (CONICET/CNEA)Roberta ColalilloINFNM. R. ColucciaR. ConceiçãoUniversidade de Lisboa—ULAntonio CondorelliUniversité Paris-SaclayGiovanni ConsolatiINFNM. ConteINFNFabio ConvengaINFN Laboratori Nazionali del Gran SassoD. Correia dos SantosUniversidade Federal do Rio de JaneiroPedro J. CostaUniversidade de Lisboa—ULC. E. CovaultCase Western Reserve UniversityM. CristinzianiUniversität SiegenCarlo Salvattore Cruz SanchezUniversidad Nacional de La Plata and CONICETS. DassoInstitute of Astronomy and Space PhysicsK. DaumillerKarlsruhe Institute of Technology (KIT)B. R. DawsonUniversity of AdelaideR. M. de AlmeidaUniversidade Federal do Rio de JaneiroBeatriz de ErricoUniversidade Federal do Rio de JaneiroJoaquín de JesúsInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM)S. J. de JongNationaal Instituut voor Kernfysica en Hoge Energie Fysica (NIKHEF)J. R. T. de Mello NetoUniversidade Federal do Rio de JaneiroI. De MitriGran Sasso Science InstituteJ. de OliveiraDanelise de Oliveira FrancoF. de PalmaINFNV. de SouzaUniversidade de São PauloEmanuele De VitoINFNA. Del PopoloINFNO. DelignyUniversité Paris-SaclayN. DennerInstitute of Physics of the Czech Academy of SciencesL. DevalInstituto de Tecnologías en Detección y Astropartículas (CNEA, CONICET, UNSAM)A. di MatteoA John JoelUniversidad Nacional de San Agustin de ArequipaM. Dobre“Horia Hulubei” National Institute for Physics and Nuclear Engineering
ABI

Аннотация

We report an investigation of the mass composition of cosmic rays with energies from 3 to 100 EeV (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mn>1</a:mn><a:mtext> </a:mtext><a:mtext> </a:mtext><a:mi>EeV</a:mi><a:mo>=</a:mo><a:msup><a:mrow><a:mn>10</a:mn></a:mrow><a:mrow><a:mn>18</a:mn></a:mrow></a:msup><a:mtext> </a:mtext><a:mtext> </a:mtext><a:mi>eV</a:mi></a:mrow></a:math>) using the distributions of the depth of shower maximum <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>X</c:mi><c:mi>max</c:mi></c:msub></c:math>. The analysis relies on <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mo>∼</e:mo><e:mn>50</e:mn><e:mo>,</e:mo><e:mn>000</e:mn></e:math> events recorded by the surface detector of the Pierre Auger Observatory and a deep-learning-based reconstruction algorithm. Above energies of 5 EeV, the dataset 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 <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi>X</g:mi><g:mi>max</g:mi></g:msub></g:math> distributions up to 100 EeV. Our findings are threefold: (i) The evolution of the mean logarithmic mass toward a heavier composition with increasing energy can be confirmed and is extended to 100 EeV. (ii) The evolution of the fluctuations of <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msub><i:mi>X</i:mi><i:mi>max</i:mi></i:msub></i:math> toward a heavier and purer composition with increasing energy can be confirmed with high statistics. We report a rather heavy composition and small fluctuations in <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:msub><k:mi>X</k:mi><k:mi>max</k:mi></k:msub></k:math> at the highest energies. (iii) 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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