AN ALTERNATIVE METHOD TO OBTAIN THE MUON CHARGE RATIO AT SEA LEVEL

The vertical muon charge ratio generated from hadron showers in the earth's atmosphere is obtained accurately in the energy range from a few GeV to several TeV. To solve the hadron diffusion equations we apply the analytical method based on depth-like ordered exponential operator. A comparison among our calculations (with and without scaling violation) with the measured ratio and Lipari's analytical calculation is made. Our differential muon fluxes are also compared with data at sea level.