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A method is presented using helicity cross sections for calculatingneutrino-nucleon interactions. The formalism is applied in the calculation ofthe pion spectra produced by nu_mu and nu_tau beams. The masses of the chargedleptons are kept throughout the calculations. Cross sections are presented innumerous figures where the contributions of the significant form factors arealso shown. The article describes the steps of the calculation and givesdetails so that it can be reproduced and adapted to the kinematic conditions ofthe experiments.

Pion Spectra in the Production of Resonances by Neutrinos