Lateral distribution of muon pairs in deep underground muon showers

Physics

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Cerenkov Counters, Cosmic Ray Showers, High Energy Interactions, Muons, Statistical Distributions, Particle Collisions, Poisson Density Functions, Primary Cosmic Rays

Scientific paper

The lateral distribution of muon showers deep underground in the Utah muon detector has been studied. The results are presented in the form of a decoherence curve, which is defined to be the rate of pairs of coincident muons in two small detectors (as a function of their separation) divided by the product of the areas of the detectors. Rates are measured for separations from 1 to greater than 60 m for depths ranging from 2.4 x 10 to the 5 g/cu cm to 5.6 x 10 to the 5 g/cu cm and zenith angles ranging from 42.5 to 62.5 degrees. When the decoherence curve is parameterized by the function R(x) = Rzero e to the -x/x0 the value of the mean separation x0 at 47.5 degrees, 2.4 x 10 to the 5 g/cu cm is 11.21 plus or minus 0.38 m. In a modified scaling model this separation suggests an average transverse momentum of roughly 0.65 GeV/c for muons from hadron-air collisions with energy exceeding 10 TeV.

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