Theoretical Analysis of the $p\bar{p}\to {\pi }^0{e}^{+}{e}^{-}$ Process within a Regge Framework

Abstract

We study the annihilation process $p\bar{p}\to {\pi }^0{e}^{+}{e}^{-}$ within a Regge framework, as a means to provide constraints on timelike nucleon form factors. We present results for the $e^{+}{e}^{-}$ angular distributions and the differential cross sections in kinematics which will be accessible by PANDA@FAIR. To check the consistency of the model, we first test the approach on the process of real photon production, $\bar{p}p\to {\pi }^0\gamma$, where data in the energy range of 2.911 GeV$\le \sqrt{s}\le 3.686$ GeV exist. We find that a Regge pole model is able to well reproduce the available data. The analysis is then extended to a timelike virtual photon in the final state.

Comments: 10 pages, 8 figures, published version