Distribution Functions of Muons in Inclined Showers Registered by Auger Observatory

The Lateral Distribution Function (LDF) and Energy Distribution Function (EDF) of muons in Ultra High Energy (UHE) cosmic ray induced air showers are of great importance for testing interaction models at high energies, and also in the search for exotic particles, such as WIMPs and UHE neutrinos. Direct measurements of the muon distribution functions are extremely difficult to do, because of the need for shielded muon detectors as well as an extensive surface detector with fine binning. Inclined showers are easier to investigate from the point of view that on the ground level there are only muons and muon interaction products. Due to the large slant depth there is no remaining electromagnetic component. Therefore there is no need to separate the electromagnetic part of the signal from muon's part, as is necessary for vertical air showers. In this paper we will present a possible semi-mo del indep endent technique for measuring distribution functions of muons in inclined showers and discuss some questions of sewing the LDFs of vertical and horizontal air showers.