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.

arXiv comment10 pages, 8 figures, published version

References in corpus (12)

• Nucleon Electromagnetic Form Factors
• Nucleon electromagnetic form factors
• Electromagnetic Form Factors of the Nucleon and Compton Scattering
• Electromagnetic Excitation of Nucleon Resonances
• Charged pion form factor between $Q^2$=0.60 and 2.45 GeV${}^2$. I. Measurements of the cross section for the ${}^1$H($e,e^{\prime }{\pi }^{+}$)$n$ reaction
• Structure of the nucleon from electromagnetic space-like and time-like form factors
• Production of a pion in association with a high-Q2 dilepton pair in antiproton-proton annihilation at GSI-FAIR
• Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition
• Testing axial and electromagnetic nucleon form factors in time-like regions in the processes $\bar{p}+n\to {\pi }^{-}+{\ell }^{-}+{\ell }^{+}$ and $\bar{p}+p\to {\pi }^0+{\ell }^{-}+{\ell }^{+}$, $\ell =e$, $\mu$
• Cross sections and Rosenbluth separations in 1H(e, e'K+)Lambda up to Q2=2.35 GeV2
• The process p + pbar --> gamma + pi^0 within the handbag approch
• General analysis and numerical estimations of polarization observables in $\bar{N}+N\to \pi +e^{+}+e^{-}$ reaction in an exclusive experimental setup

Cited by in corpus (5)

• PANDA Phase One
• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• New structures in the proton-antiproton system
• Method for measuring the charge radii of charged hyperons from the time-like region
• Photoproduction of the Scalar Meson $f_0(500)$