Muon production by photons from Cygnus X-3

We perform an analytic calculation of TeV-muon production by photons interacting in the atmosphere. The model used contains all the relevant physical properties of this system. We derive several useful approximate scaling relations for muon production. Using the measured photon spectrum from Cygnus X-3 we predict a rate of 2.2×${10}^{\mathrm{-}13}$ events/${\mathrm{cm}}^2$ sec for muon energies exceeding 0.6 TeV, a factor of 320 below the recent Soudan measurement.