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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

The propagation of ultra high energy cosmic rays

Taylor, Andrew Martin January 2007 (has links)
This thesis presents theoretical work on the propagation of ultra high energy cosmic rays, from their source to Earth. The different energy loss processes, resulting from cosmic ray interactions with the radiation fields, are addressed. The subsequent uncertainties in the energy loss rates and the effect produced on the arriving cosmic ray spectrum are highlighted. The question of the composition of ultra high energy cosmic rays remains unresolved, with the range of possibilities leading to quite different results in both the secondary fluxes of particles produced through cosmic ray energy loss interactions en route, and the arriving cosmic ray spectra at Earth. A large range of nuclear species are considered in this work, spanning the range of physically motivated nuclear types ejected from the cosmic ray source. The treatment of cosmic ray propagation is usually handled through Monte Carlo simulations due to the stochastic nature of some of the particle physics processes relevant. In this work, an analytic treatment for cosmic ray nuclei propagation is developed. The development of this method providing a deeper understanding of the main components relevant to cosmic ray nuclei propagation, and through its application, a clear insight into the contributing particle physics aspects of the Monte Carlo simulation. A flux of secondary neutrinos, produced as a consequence of cosmic ray energy loss through pion production during propagation, is also expected to be observed at Earth. This spectrum, however, is dependent on several loosely constrained factors such as the radiation field in the infrared region and cosmic ray composition. The range of possible neutrino fluxes obtainable with such uncertainties are discussed in this work. High energy cosmic ray interactions with the radiation fields present within the source may also occur, leading to cosmic ray energy loss before the cosmic ray has even managed to escape. The secondary spectra produced are investigated through the consideration of three candidate sources. A relationship between the degree of photo-disintegration in the source region and the neutrino flux produced through p γ interactions is found.
2

Upper Limits on the Ultra-High Energy Cosmic Ray Flux from Unresolved Sources

Burton, Ross E. 30 January 2012 (has links)
No description available.
3

Cosmic-ray astronomy at the highest energies with ten years of data of the Pierre Auger observatory / Astronomie à rayons cosmiques d'ultra-haute énergie avec dix ans de données de l'observatoire Pierre Auger

Caccianiga, Lorenzo 14 September 2015 (has links)
L'identification des sources de rayons cosmiques d'ultra-haute énergie (au-delà de 10^18 eV) constituerait une avancée majeure aussi bien dans le domaine de l'astrophysique que dans celui de la physique des particules. La difficulté principale dans la recherche de telles sources réside dans la perte de l'information directionnelle des rayons cosmiques les moins énergétiques. En effet, leur direction est sujette à des déviations d'amplitude inversement proportionnelle à leur énergie à cause des champs magnétiques qu'il traversent lors de leur propagation jusqu'à la Terre. D'autre part, pour des énergies supérieures à 4x10^(19)eV, l'interaction des rayons cosmiques avec le fond diffus cosmologique limite l'horizon de leurs sources à l'Univers proche (200 Mpc ou moins). Cette thèse a été effectuée au sein de l’observatoire Pierre Auger, le plus grand détecteur de rayons cosmiques de haute énergie. Elle est dédiée à l'étude, la sélection, la reconstruction, ainsi qu'à l'analyse des évènements de plus haute énergie. D'autre part, les particules de plus bas numéro atomique sont plus susceptibles de garder leur direction mais la composition des rayons cosmiques est inconnue à de telles énergies. Une méthode de sélection des événements les plus similaires aux protons a été élaborée et développée dans cette thèse pour étudier la possibilité de leur utilisation pour une "astronomie protons" / Identifying the sources of the ultra-high energy cosmic rays (UHECRs, above 10^{18} eV), the most energetic particles known in the universe, would be an important leap forward for both the astrophysics and particle physics knowledge. However, developing a cosmic-ray astronomy is arduous because magnetic fields, that permeate our Galaxy and the extra-Galactic space, deflect cosmic rays that may lose the directional information on their sources. This problem can be reduced by studying the highest energy end of the cosmic ray spectrum. Indeed, magnetic field deflections are inversely proportional to the cosmic ray energy. Moreover, above 4x10^{19} eV, cosmic rays interact with cosmic photon backgrounds, losing energy. This means that the sources of the highest energy cosmic rays observed on Earth can be located only in the nearby universe (200 Mpc or less). The largest detector ever built for detecting cosmic rays at such high energies is the Pierre Auger Observatory, in Argentina. It combines a 3000 km^2 surface array of water Cherenkov detectors with fluorescence telescopes to measure extensive air showers initiated by the UHECRs. This thesis was developed inside the Auger Collaboration and was devoted to study the highest energy events observed by Auger, starting from the selection and reconstruction up to the analysis of their distribution in the sky. Moreover, since the composition at these energies is unknown, we developed a method to select proton-like events, since high Z cosmic rays are too much deflected by magnetic fields to be used for cosmic-ray astronomy.
4

Caractérisation de signaux transitoires radio à l'observatoire Pierre Auger / Characterization of radio transient signals at the Pierre Auger Observatory

Maller, Jennifer 13 October 2014 (has links)
Après plus d'un siècle d'études, l'origine des rayons cosmiques d’ultra-haute énergie reste mal comprise. En améliorant la connaissance de la composition des rayons cosmiques détectés sur Terre, il est possible de contraindre les modèles concernant leur origine, ainsi que leur mécanisme de production dans les sources astrophysiques. Les simulations montrent que le champ électrique émis par les gerbes est sensible à leur développement dans l'atmosphère. Ce champ électrique peut être mesuré avec un cycle utile élevé, faisant du signal radio une observable prometteuse pour identifier le rayon cosmique primaire. Le signal radio permet également de mesurer sa direction d'arrivée et son énergie. Depuis 2006, l'observatoire Pierre Auger accueille plusieurs réseaux de radio détection des rayons cosmiques. Des démonstrateurs équipés de quelques stations (RAuger,MAXIMA) ont permis une caractérisation efficace de l'environnement radio du site, ils ont également apporté des contraintes sur les mécanismes responsables de l'émission du champ électrique par les gerbes dans le domaine du MHz. Les prototypes ont mené à la construction d’AERA (Auger Engineering Radio Array) qui, avec 124 stations couvrant 6 km², est le premier réseau grande échelle de radio détection des gerbes dans le domaine du MHz. AERA est déployé dans l'extension basse énergie de l'observatoire afin de bénéficier d'une statistique plus importante. Le réseau permet d'intéressantes mesures hybrides ; son emplacement permet en effet de croiser les données obtenues par la radio avec celles provenant du réseau de surface (SD) et des télescopes à fluorescence (FD) proches du réseau. Cette thèse est dédiée à la caractérisation de signaux transitoires radio détectés par RAuger et AERA. Comme un des défis de la radio détection des gerbes atmosphériques est de supprimer les bruits de fond anthropiques causant des déclenchements accidentels, des méthodes de réjection du bruit de fond et de sélection des coïncidences SD-AERA ont été développées. Une étude de la corrélation entre le développement de la gerbe dans l'atmosphère (profil longitudinal) et le champ électrique mesuré par les stations radio est également présentée. Cette étude valide le lien direct entre le champ électrique et le développement de la gerbe dans l'atmosphère et confirme l’intérêt du signal radio pour l’estimation de la nature des rayons cosmiques d'ultra-haute énergie. / After more than a century of studies, one of the challenging questions related to ultra-high energy cosmic rays concerns their nature, which remains unclear. Improving the knowledge about the composition of cosmic rays will permit to constrain the models concerning their origins and the production mechanisms in the astrophysical sources. Simulations show that, the electric field emitted by the shower is sensitive to its development. This electric-field can be measured with a high duty cycle, and thus is apromising technique to identify an observable sensitive to the nature of the primary cosmic ray. The radio signal is also used to measure its arrival direction and its energy. Since 2006, the Pierre Auger Observatory hosts several radio detection arrays of cosmic rays, starting from small size prototypes (RAuger, MAXIMA) to achieve a large scale array of 124 radio stations: AERA, the Auger Engineering Radio Array covering 6 km². These different arrays allow the study of the radio emission during the development of the shower in the MHz domain. AERA is deployed in the low energy extension of the Pierre Auger Observatory in order to have a larger statistics. It enables interesting hybrid measurements, with the comparison of radio observable with those obtained with the surface detector (SD) and the fluorescence telescopes close to the array. This thesis is dedicated to the characterization of the radio transient signals detected by RAuger and AERA. As one of the challenges of the radio detection of air-shower is to remove the anthropic background causing accidental triggering, methods for background rejection and SD-AERA coincidences selection have been developed. A study of the correlation between the shower development in the atmosphere (longitudinal profile) and the electric-field measured by the radio stations is also presented. This study shows the relationship between the electric-field and the shower development in the atmosphere and confirms that the radio signal is a powerful tool to study the nature of the ultra-high energy cosmic rays.
5

RPCs design, development and tests for the Pierre Auger Observatory / Desenvolvimento, construção e testes de RPCs para o observatório Pierre Auger

Martins, Victor Barbosa 20 August 2018 (has links)
The cosmic rays are the most energetic particles in the universe. Their production, propagation, and detection are objects of studies. Surface detectors aim to identify particles from extensive air showers (EAS) which the result from the cosmic-ray interactions with the atmosphere. Resistive Plate Chambers (RPCs) have shown to be a suitable muon detector to be integrated into the Pierre Auger Observatory. An instrumentation was developed to assembly RPCs in São Carlos (BRA). Data from RPCs already built by our collaborators in Coimbra (POR) were analyzed. The detector efficiency to muons was calculated and is approximately 88%, which is in good agreement with the values quoted in the literature. Direction maps were built to investigate the muon incoming direction and the quantity of matter traversed by the muons. The dependence of the muon flux on the zenith angle was calculated and compared with results from the simulation. A square cosine dependence is expected, though it is seen that the building structure has enough matter to block some of the incident muons and alter the dependence curve. The total muon flux was estimated based on the detector efficiencies and solid angle as 1.6.10−5. mm−2.sr−1. s−1 compared with the literature value of 7.1.10−5 mm−2.sr−1.s−1, which gives an absorption by the building of approximately 77%. / Os raios cósmicos são as partículas mais energéticas do universo. Sua produção, propagação e detecção são objetos de estudos. Os detectores de superfície têm como objetivo identificar partículas dos chuveiros atmosféricos extensos (EAS), o qual é o resultado das interações do raio cósmico com a atmosfera. A Câmaras de Placas Resistivas (RPCs) demonstra ser um detector de múons adequado para ser integrado ao Observatório Pierre Auger. Foi desenvolvida em São Carlos (BRA) uma instrumentação para montagem de RPCs. Dados de RPCs já construídas por nossos colaboradores em Coimbra (POR) foram analisados. A eficiência dos detectores para múons foi calculada como sendo de aproximadamente 88%, o que está de acordo com os valores citados na literatura. Mapas de direção foram construídos para investigar a direção de chegada e a quantidade de matéria atravessada pelos múons. A dependência do fluxo de múons com o ângulo zenital foi comparada com os resultados da simulação. Embora uma dependência com o quadrado do cosseno é esperada, foi constatado que a estrutura do prédio tem matéria suficiente para bloquear parte dos múons incidentes e alterar a curva da dependência. O fluxo total de múons foi estimado baseado nas eficiências do detector e no ângulo sólido é de 1.6.10−5 mm−2.sr−1.s−1. Comparado com o valor da literatura de 7.1.10−5 mm−2.sr−1.s−1 resulta em uma absorção pelo prédio de aproximadamente 77% do fluxo de múons.
6

Propagação de raios cósmicos extragaláticos / Propagation of the extragalactic cosmic rays

Anjos, Rita de Cássia dos 26 June 2014 (has links)
Recentemente, o Observatório Pierre Auger tem medido espectro de energia de Raios Cósmicos Ultra Energéticos (Ultra High Energy Cosmic Rays - UHECR) (E > 1019 eV) com grande acurácia. No entanto, o estudo de raios cósmicos ultra energéticos na Terra tem uma forte dependência do estudo de sua propagação no Universo. Neste trabalho, abordamos o estudo da propagação de raios cósmicos em diferentes aspectos. Núcleos em alta energia interagem com os campos de radiação no caminho da fonte à Terra. A interação mais importante é a fotodesintegração. Na primeira parte, implementamos de maneira analítica e numérica a solução da razão de fotodesintegração e fizemos uso da solução numérica em um programa de Monte Carlo. Mostramos soluções baseadas na parametrização das seções de choque por uma função Gaussiana e por uma função Lorenztiana. Comparamos nossos resultados com trabalhos prévios da literatura. O seguinte estudo mostrou que sob a hipótese de propagação quase-linear e utilizando várias distribuições de fontes no céu, a latitude do observatório: tem influência no fluxo total medido por um observatório; impõe um limite na capacidade de medida de anisotropia e tem um efeito negligenciável na medida do XMax. No terceiro estudo, um limite superior na integral do fluxo de raios gama em GeV-TeV é usado para obter um limite superior na luminosidade total de UHECR de fontes individuais. A correlação entre o limite superior na integral do fluxo de raios gama e o limite superior na luminosidade total de UHECR é estabelecida através do processo de cascatas de partículas geradas durante a propagação de raios cósmicos nos campos de radiação. / Recently, the Pierre Auger Observatory has measured the energy spectrum of Ultra High Energy Cosmic Rays (UHECR) (E > 1019 eV) with an unprecedented accuracy. However, the study of ultra-high energy cosmic rays at Earth depends on the models used to describe the propagation of the particle in the Universe. In this work, we present a study of propagation of cosmic rays on different aspects. Nucleus at this high energy interacts with the radiation fields on the way from the source to Earth. The most important interaction is the photodisintegration. In the first part, we implemented analytical, numerical and Monte Carlo simulation solutions for the photodisintegration rate. We show solutions based on parameterizations of the cross-section using Gaussian and Lorenztian functions. We compare our results with previous works. The following study shows that under the assumption of quasi-linear propagation and using several sources distributions of sky, the latitude of the observatory: has influence on the total flux measured by an observatory; imposes a limitation on the capability of measuring an anisotropic sky and has a negligible efect on the Xmax measurement. In the thirdy study, an upper limit on the integral flux of GeV-TeV gamma-rays is used to extract the upper limit on the total UHECR luminosity of individual sources. The correlation between upper limit on the integral GeV-TeV gamma-rays flux and upper limit on the UHECR luminosity is established through the cascading process that takes place during propagation of the cosmic-rays in the background radiation fields.
7

Uso de detectores de radiação de fluorescência atmosférica no estudo de raios cósmicos de ultra-alta energia

Luzio, Vitor Prestes January 2016 (has links)
Orientador: Prof. Dr. Marcelo Augusto Leigui de Oliveira / Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Física, 2016. / We present in this work studies on ultra-high energy cosmic rays using the air- uorescence detection technique. The research main objective consists in event reconstructions from a fluorescence telescope, such that a simulation code has been developed taking into account the physical processes involved in the generation and the propagation of uorescence photons from an extensive air shower to a telescope. The secondary particles of air showers has been previously obtained using CORSIKA code for dierent primary energies and compositions. Furthermore, the photon generation has been calculated using Bethe and Bloch equation for the energy loss of electrons and positrons in air and the uorescence yield parameterized with air conditions at given altitudes. The attenuation of photons towards the telescope has been calculated for Rayleigh and Mie scatterings. With the developed simulation, it was possible to study the dependence of the shower maximum depth in the atmosphere, considering dierent experimental congurations for the telescopes used in the Pierre Auger Observatory, Telescope Array and MonRAt. Finally, the reconstruction of the geometric parameters of cosmic rays has been performed by the determination of the arrival directions and the angular reconstruction limits.
8

RPCs design, development and tests for the Pierre Auger Observatory / Desenvolvimento, construção e testes de RPCs para o observatório Pierre Auger

Victor Barbosa Martins 20 August 2018 (has links)
The cosmic rays are the most energetic particles in the universe. Their production, propagation, and detection are objects of studies. Surface detectors aim to identify particles from extensive air showers (EAS) which the result from the cosmic-ray interactions with the atmosphere. Resistive Plate Chambers (RPCs) have shown to be a suitable muon detector to be integrated into the Pierre Auger Observatory. An instrumentation was developed to assembly RPCs in São Carlos (BRA). Data from RPCs already built by our collaborators in Coimbra (POR) were analyzed. The detector efficiency to muons was calculated and is approximately 88%, which is in good agreement with the values quoted in the literature. Direction maps were built to investigate the muon incoming direction and the quantity of matter traversed by the muons. The dependence of the muon flux on the zenith angle was calculated and compared with results from the simulation. A square cosine dependence is expected, though it is seen that the building structure has enough matter to block some of the incident muons and alter the dependence curve. The total muon flux was estimated based on the detector efficiencies and solid angle as 1.6.10−5. mm−2.sr−1. s−1 compared with the literature value of 7.1.10−5 mm−2.sr−1.s−1, which gives an absorption by the building of approximately 77%. / Os raios cósmicos são as partículas mais energéticas do universo. Sua produção, propagação e detecção são objetos de estudos. Os detectores de superfície têm como objetivo identificar partículas dos chuveiros atmosféricos extensos (EAS), o qual é o resultado das interações do raio cósmico com a atmosfera. A Câmaras de Placas Resistivas (RPCs) demonstra ser um detector de múons adequado para ser integrado ao Observatório Pierre Auger. Foi desenvolvida em São Carlos (BRA) uma instrumentação para montagem de RPCs. Dados de RPCs já construídas por nossos colaboradores em Coimbra (POR) foram analisados. A eficiência dos detectores para múons foi calculada como sendo de aproximadamente 88%, o que está de acordo com os valores citados na literatura. Mapas de direção foram construídos para investigar a direção de chegada e a quantidade de matéria atravessada pelos múons. A dependência do fluxo de múons com o ângulo zenital foi comparada com os resultados da simulação. Embora uma dependência com o quadrado do cosseno é esperada, foi constatado que a estrutura do prédio tem matéria suficiente para bloquear parte dos múons incidentes e alterar a curva da dependência. O fluxo total de múons foi estimado baseado nas eficiências do detector e no ângulo sólido é de 1.6.10−5 mm−2.sr−1.s−1. Comparado com o valor da literatura de 7.1.10−5 mm−2.sr−1.s−1 resulta em uma absorção pelo prédio de aproximadamente 77% do fluxo de múons.
9

Propagação de raios cósmicos extragaláticos / Propagation of the extragalactic cosmic rays

Rita de Cássia dos Anjos 26 June 2014 (has links)
Recentemente, o Observatório Pierre Auger tem medido espectro de energia de Raios Cósmicos Ultra Energéticos (Ultra High Energy Cosmic Rays - UHECR) (E > 1019 eV) com grande acurácia. No entanto, o estudo de raios cósmicos ultra energéticos na Terra tem uma forte dependência do estudo de sua propagação no Universo. Neste trabalho, abordamos o estudo da propagação de raios cósmicos em diferentes aspectos. Núcleos em alta energia interagem com os campos de radiação no caminho da fonte à Terra. A interação mais importante é a fotodesintegração. Na primeira parte, implementamos de maneira analítica e numérica a solução da razão de fotodesintegração e fizemos uso da solução numérica em um programa de Monte Carlo. Mostramos soluções baseadas na parametrização das seções de choque por uma função Gaussiana e por uma função Lorenztiana. Comparamos nossos resultados com trabalhos prévios da literatura. O seguinte estudo mostrou que sob a hipótese de propagação quase-linear e utilizando várias distribuições de fontes no céu, a latitude do observatório: tem influência no fluxo total medido por um observatório; impõe um limite na capacidade de medida de anisotropia e tem um efeito negligenciável na medida do XMax. No terceiro estudo, um limite superior na integral do fluxo de raios gama em GeV-TeV é usado para obter um limite superior na luminosidade total de UHECR de fontes individuais. A correlação entre o limite superior na integral do fluxo de raios gama e o limite superior na luminosidade total de UHECR é estabelecida através do processo de cascatas de partículas geradas durante a propagação de raios cósmicos nos campos de radiação. / Recently, the Pierre Auger Observatory has measured the energy spectrum of Ultra High Energy Cosmic Rays (UHECR) (E > 1019 eV) with an unprecedented accuracy. However, the study of ultra-high energy cosmic rays at Earth depends on the models used to describe the propagation of the particle in the Universe. In this work, we present a study of propagation of cosmic rays on different aspects. Nucleus at this high energy interacts with the radiation fields on the way from the source to Earth. The most important interaction is the photodisintegration. In the first part, we implemented analytical, numerical and Monte Carlo simulation solutions for the photodisintegration rate. We show solutions based on parameterizations of the cross-section using Gaussian and Lorenztian functions. We compare our results with previous works. The following study shows that under the assumption of quasi-linear propagation and using several sources distributions of sky, the latitude of the observatory: has influence on the total flux measured by an observatory; imposes a limitation on the capability of measuring an anisotropic sky and has a negligible efect on the Xmax measurement. In the thirdy study, an upper limit on the integral flux of GeV-TeV gamma-rays is used to extract the upper limit on the total UHECR luminosity of individual sources. The correlation between upper limit on the integral GeV-TeV gamma-rays flux and upper limit on the UHECR luminosity is established through the cascading process that takes place during propagation of the cosmic-rays in the background radiation fields.
10

O perfil longitudinal de chuveiros atmosféricos extensos de altíssimas energias no cálculo da energia calorimétrica e no estudo da composição química dos primários / The ultra high energy extensive air shower longitudinal profile on the calorimetric energy calculus and primaries chemical composition studies

Catalani, Fernando 02 December 2008 (has links)
Orientador: Jose Augusto Chinellato / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin / Made available in DSpace on 2018-08-11T05:35:22Z (GMT). No. of bitstreams: 1 Catalani_Fernando_D.pdf: 3151550 bytes, checksum: e2bbe39231b08bdb8fdcd358452d30f5 (MD5) Previous issue date: 2008 / Resumo: Essa tese tinha como objetivo estudar o perfil longitudinal de chuveiros atmosféricos extensos de forma completa. Nós simulamos chuveiros atmosféricos utilizando o programa CORSIKA para diferentes primários e energias acima de 10 17 e V e procuramos relações entre vários parâmetros extraídos do perfil longitudinal, como Xmax, X0, Xmax - X0, FWHM entre outros. Utilizamos os modelos de interação hadrônica QGSJET01 e SIBYLL2.1 nesses estudos. Um resultado obtido foi a contribuição de diferentes componentes de um chuveiro atmosférico no depósito de energia na atmosfera, para diferentes ângulos, primários e modelos de interação hadrônica. Calculamos, pela primeira vez, explicitamente as quantidades de energia calorimétrica e energia perdida que são necessárias para a recosntrução da energia do primário. Pudemos, então, parametrizar a fração de energia perdida em termos da energia calorimétrica e da energia do primário. Essa parametrização varia menos de 1 % com o ângulo zenital e com o nível de observação. Já a dependência com o primário é menor que 5 % e com o modelo de interação hadrônica é menor que 2 %.Calculamos como menor que 3 % o erro sistemático de corrigir a energia perdida usando uma parametrização mista de 50 % de chuveiros de ferro e 50 % chuveiros de próton. Aplicamos métodos estatísticos no estudo da composição de raios cósmicos. Como resultado, propomos a utilização de vários parâmetros do perfil longitudinal como Xmax, Nmax, Sigma, Assimetria, Skewness and Kurtose. Através do método de análise de componentes principais (PCA) nós estudamos a relevência de cada um desses parâmetros na caracterização do perfil longitudinal. Aplicamos, então, a análise de discriminantes lineares (LDA) para encontrar uma combinação linear dos parâmetros usados que melhor classifique um chuveiro como sendo originado por próton, ferro e fótons. Mostramos que LDA permite uma melhor separação entre chuveiros de hádrons e fótons e entre chuveiros de prótons e ferro que métodos baseados apenas na medida de Xmax / Abstract: The aim of this thesis was to study in a thoroughly way the longitudinal profile of air showers. We simulated air showers for different primaries and energies with the CORSIKA program and searched for relations between several parameters extracted from longitudinal profile, like Xsub>max, X0, Xmax-X0, FWHM and others. Hadronic interaction models QGSJET01 and SiBYLL2.1 were used in these studies. One result was the contribution for different components of an air shower to the energy deposit in the atmosphere, considering different angles, primary particles and hadronic interaction models was studied. We calculated, for the first time, the amounts of calorimetric energy and missing energy which are essential to reconstruct the primary energy. Thus, we could parameterize the fraction of missing energy in terms of the primary energy as a function of calorimetric energy. This parametrization varies less than 1% with angle and observation level. We showed that the dependence with primary mass is less than 5 % and with hadronic interaction model is below 2%. Using a parametrization with a mixture of 50 % of proton and 50 % iron showers at 45° to correct the missing energy the systematic error found was less than 3 %. Finally, we applied statistical methods in the composition studies of air showers. As a result, we propose the utilization of several features of air shower longitudinal profiles such as Xmax, Nmax, Sigma, Asymmetry, Skewness and Kurtosis. First we studied the relevance of each parameter for the overall shower features using principal component analysis (PCA). Then, we applied linear discriminant analysis (LDA) to find a linear combination of the shower parameters that best classifies a shower as an iron, proton or photon originated shower. We showed that LDA provides a better separation between iron and proton showers than using only Xmax-based methods / Doutorado / Física das Particulas Elementares e Campos / Doutor em Ciências

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