Testing axial and electromagnetic nucleon form factors in time-like regions in the processes $\bar{p}+n\to {\pi }^{-}+{\ell }^{-}+{\ell }^{+}$ and $\bar{p}+p\to {\pi }^0+{\ell }^{-}+{\ell }^{+}$, $\ell =e$, $\mu$

Abstract

In frame of a phenomenological approach based on Compton-like Feynman amplitudes, we study the annihilation channel in antiproton nucleon collisions with production of a single charged or neutral pion and a lepton-antilepton pair. These reactions allow to access nucleon and axial electromagnetic form factors in time-like region and offer a unique possibility to study the kinematical region below two nucleon threshold. The differential cross section in an experimental set-up where the pion is fully detected is given with explicit dependence on the relevant nucleon form factors. The possibility to measure heavy charged pion in the annihilation channel is also discussed.

23 pages, 9 figures

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• New fit of time-like proton electromagnetic form factors from $e^{+}{e}^{-}$ colliders
• Two-component model for the axial form factor of the nucleon
• Theoretical Analysis of the $p\bar{p}\to {\pi }^0{e}^{+}{e}^{-}$ Process within a Regge Framework
• Study of resonant processes for multi-pion production in $\bar{p}+p\to {\ell }^{+}+{\ell }^{-}+n_{\pi }\pi$ annihilation
• Polarization effects in $\bar{N}+N\to \pi +{\ell }^{+}+{\ell }^{-}$ reaction. General analysis and numerical estimations
• Contribution of the non-resonant mechanism to the double and single differential distributions over the invariant variables in the reaction $e^{+}+e^{-}\to N+\bar{N}+{\pi }^0$