High-density QCD and Cosmic Ray Air Showers
  We discuss particle production in the high-energy, small-x limit of QCD where the gluon density of hadrons is expected to become nonperturbatively large. Strong modifications of the phase-space distribution of produced particles as compared to leading-twist models are predicted which reflect in the properties of cosmic ray induced air showers in the atmosphere. Assuming hadronic primaries, our results suggest a light composition near GZK cutoff energies. We also show that cosmic ray data discriminate among various QCD evolution scenarios for the rate of increase of the gluon density at small x, such as fixed-coupling and running-coupling BFKL evolution. There are clear indications for a slower growth of the gluon density as compared to RHIC and HERA, due e.g. to running-coupling effects. 
H.J. Drescher, A. Dumitru, M. Strikman