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The work presents the studies of the polarization observables in the singlepion production (SPP) induced by the interaction of the muon neutrino(antineutrino) with nucleons. The SPP cross-sections and spin asymmetries arecomputed within two phenomenological models. One is basing on the nonlinearsigma model \cite{Hernandez:2007qq}; the other has origin in linear sigmamodel~\cite{Fogli:1979cz}. Firstly, we show that the final nucleon polarizationand target spin asymmetries are good observables to obtain information aboutthe $C_5^A$ axial form factor. Secondly, we demonstrate that the nucleonpolarization and the target spin asymmetries are sensitive to the relativephase between resonance and nonresonance amplitudes. We conclude that thepolarization of the final nucleon and the target spin asymmetry are promisingobservables for testing SPP models, including studies of the axial content of$\Delta(1232)$ resonance and unitarization procedures.

Model dependence of the polarization asymmetries in weak pion production off the nucleon