Precise measurements of neutrino oscillation parameters and of neutrino-nucleon cross-sections require a good understanding of neutrino beams: flux as a function of energy, transverse beam profile, and flavour composition. For this, hadron production spectra in proton-nucleus collisions are essential. We report on double-differential inclusive large-angle cross-sections of the production of secondary protons and charged pions, in the interactions with a 5% lambda thick stationary beryllium target, of proton and pion beams with momentum from 3 GeV/c to 15 GeV/c. Our results show cross-sections reported by the HARP Collaboration to be wrong by factors of up to two.
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