Applying Shower Development Universality to KASCADE Data
W.D.Apel, A.F.Badea, K.Bekk, J.Bluemer, E.Boos, H.Bozdog, I.M.Brancus,, K.Daumiller, P.Doll, R.Engel, J.Engler, H.J.Gils, R.Glasstetter, A.Haungs,, D.Heck, J.R.Hoerandel, K.-H.Kampert, H.O.Klages, I.Lebedev, H.J.Mathes,, H.J.Mayer, J.Milke, J.Oehlschlaeger, S.Ostapchenko

TL;DR
This paper develops and applies a universal shower development method to KASCADE data, enabling the reconstruction of primary cosmic ray energy and mass, revealing general spectrum and composition trends.
Contribution
It introduces the correlation curve method based on shower universality and applies it to real data for cosmic ray analysis.
Findings
Revealed general trends in cosmic ray spectrum and composition
Identified systematic uncertainties in the method
Highlighted the need for detailed simulations for absolute normalization
Abstract
On basis of the theorem of a universal shower development stating that a hadronically generated extensive air shower is completely described by the primary energy, the position of the shower maximum and a parameter related to the total muon number, the so-called correlation curve method is developed and applied to KASCADE data. Correlation information of the muon and electron content of showers measured by the KASCADE experiment are used for the reconstruction of energy and mass of primary cosmic rays. Systematic uncertainties of the method and the results are discussed in detail. It is shown that by this method general tendencies in spectrum and composition indeed can be revealed, but the absolute normalization in energy and mass scale requires much more detailed simulations.
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