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The dependence of the nucleon polarization in the reaction $e^+ + e^- \to N +\bar{N} +\pi^0 $ over different invariant variables in frame of thenon-resonant mechanism, has been derived. The nucleon polarization is expressedin terms of six invariant complex amplitudes, assuming the conservation of thehadron electromagnetic currents and the P-invariance of the hadronelectromagnetic interaction. An inclusive experimental setup when the proton(or the antiproton) and the pion are detected in coincidence is considered.Numerical estimations were performed for the so called normal polarization inthe energy range from threshold up to $s=16$ GeV$^2$, using a specificparametrization of the nucleon electromagnetic form factors and taking intoaccount the unpolarized differential cross section of the non-resonantmechanism, as previously calculated.

Polarization phenomena in the reaction $e^+ + e^- \to p + \bar p +\pi^0$ in frame of the non-resonant mechanism