Landau's Hydrodynamical Model and the Inclusive Pion Spectrum from 24 to 1500GeVc

We use a refinement of Landau's hydrodynamical model of particle production to predict the spectra of pions in the inclusive reaction $p+p\to {\pi }^{\pm }+$ anything at high energies. With one overall constant obtained by normalizing the total multiplicity at one energy, we find that both the transverse and longitudinal momentum spectra predicted by the theory are in good agreement with the existing data.