A new approach to derive atmospheric muon fluxes

Hadron diffusion equations are solved using an alternative analytical method based on depth-like ordered exponential operators, similar to those used by Feynman. With this method, these equations are solvable for any form of the primary spectrum (an improvement compared with other methods). The muon fluxes generated by these hadronic showers are then obtained for zenith angles covering 0°–89°. A comparison of our calculations for the vertical and horizontal muon fluxes with experimental data and with another theoretical calculation is made. The agreement between them is in general very good, greater than 90%.