Polarization effects in bar N+Nto π +ell^++ell^- reaction. General analysis and numerical estimations

A general formalism is developed to calculate the cross section and the polarization observables for the reaction $\bar N+N\to \pi +\ell^++\ell^-$. The matrix element and the observables are expressed in terms of six scalar amplitudes (complex functions of three kinematical variables) which determine the reaction dynamics. The numerical predictions are given in frame of a particular model in the kinematical range accessible in the PANDA experiment at FAIR.