In this work we report the calculation of the charged current total and differential cross sections for weak pion-production with neutrinos and antineutrinos, with the final pion-nucleon pair invariant mass W πN < ∼ 2GeV. Our results are compared with the recent reanalyzed data from the old bubble chamber experiments, that solved the discrepancy between the ANL and BNL data. We implement a model previously tested for the cuts W πN < 1.4, 1.6 Gev which includes explicitly resonances in the first and second resonance regions, within different approaches for the resonances self energy and 3 2 -vertexes and propagators, a fact not usually analyzed. Our model leans on consistent effective Lagrangians that generate resonant amplitudes together non resonant plus resonant backgrounds. Effects of hadrons finite extension and more energetic resonances corresponding to the emitted pion-nucleon invariant mass in the 1.6 < W πN < 2 GeV region, are taking into account using appropiate form factors in consistency with previous results on neutral current pion production calculations. Our results reproduce well the reanalysed data without cuts and are compared with another models.

In this work we report the calculation of the total cross section for pion-production by the dispersion of neutrinos on nucleons. We use a consistent formalism for the intermediate resonance states of spin 3 2 , taking care on the conditions imposed by the invariance on contact transformations and using the Sachs parametrization for the form factors. In addition, we incorporate states in the second resonance region up to 1.6 GeV and implement different approaches for all the dressed resonance propagators. In addition to the ∆(1232), we include the N * (1440),N * (1535)and N * (1520) resonance contributions, and it is shown that this inclusion improve the description of the total cross section regards a model where only the ∆(1230) resonance is considered. Also results for antineutrinos are properly described.

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