Measurement of the Depth of Maximum of Extensive Air Showers above 10^18 eV

Abstract

We describe the measurement of the depth of maximum, Xmax, of the longitudinal development of air showers induced by cosmic rays. Almost four thousand events above 10^18 eV observed by the fluorescence detector of the Pierre Auger Observatory in coincidence with at least one surface detector station are selected for the analysis. The average shower maximum was found to evolve with energy at a rate of (106 +35/-21) g/cm^2/decade below 10^(18.24 +/- 0.05) eV and (24 +/- 3) g/cm^2/decade above this energy. The measured shower-to-shower fluctuations decrease from about 55 to 26 g/cm^2. The interpretation of these results in terms of the cosmic ray mass composition is briefly discussed.

Accepted for publication by PRL

References in corpus (6)

• One-dimensional Hybrid Approach to Extensive Air Shower Simulation
• Cosmic Rays from the Knee to the Highest Energies
• New facts about muon production in Extended Air Shower simulations
• Reconstruction of Longitudinal Profiles of Ultra-High Energy Cosmic Ray Showers from Fluorescence and Cherenkov Light Measurements
• Signatures of the transition from galactic to extragalactic cosmic rays
• Altitude dependence of fluorescence light emission by extensive air showers

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