Abstract
The evolution of the moments of the Xmax distribution is an important parameter in the study of the primary composition of cosmic rays. In this paper we investigate the evolution of these moments as a function of energy and primary particle mass. We compare different full simulation to semi-analytical models. A numerical expression is proposed in order to fit the evolution of the mean and RMS of the Xmax distribution as a function of energy and primary particle mass. This paper is an updated version of the reference (1). In this version the results were obtained using a larger number of simulated events for three hadronic interaction models EPOS 1.99, QGSJet II and Sibyll 2.1.
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