%0 Journal Article %T Study of resonant processes for multi-pion production in $\bar p +p\to\ell ^++\ell^- +n_\pi \pi$ annihilation %A Kuraev %A E. A. %A Adamuscin %A C. %A Tomasi-Gustafsson %A E. %A Maas %A F. %J High Energy Physics - Phenomenology %D 2007 %I %R 10.1016/j.physletb.2007.04.042 %X In frame of a phenomenological approach based on Compton-like Feynman amplitudes, we study multi-pion production in antiproton nucleon collisions. The main interest of this reaction is related to the possibility to study the properties of the presumable $\bar N N$ atom and of its resonances. For the case of formation of a scalar or pseudoscalar resonant state, with $I^G(J^{P})=1^-(0^{\pm}),~0^+(0^-)$ numerical results are obtained. The differential cross section in an experimental set-up where the pions invariant mass is measured, is given with explicit dependence on the lepton pair and pions invariant mass. %U http://arxiv.org/abs/0704.1199