Hadron energy spectra induced by one-single nucleon are obtained solving diffusion equations by the method of characteristics. Our solutions are a generalization of earlier papers that allow us to calculate hadron fluxes including the energy dependence of the interaction lengths and inelasticities. A comparison with the integral hadron spectra of the so-called ''halo events" detected by the Brazil-Japan Collaboration at Mt. Chacaltaya is made, in order to test our solutions. A reasonable agreement between then is obtained, considering the rising with energy of the nucleon inelasticity coefficient.
