e+e- pair production from nucleon targets in the resonance region

We discuss two processes, the $πN \to e^+e^- N$ and the $γN \to e^+e^- N$ reactions, below and close to the vector meson production threshold ($1.40<\sqrt s <1.75$ GeV). The aim is to gain understanding of the coupling of vector fields (associated with $ρ^0$- and $ω$-mesons) to low-lying baryon resonances. These couplings are not well-known and important for baryon structure studies and for dynamical descriptions of vector meson propagation in the nuclear medium. The $e^+e^-$ pair production amplitudes are determined by the $πN \to ρ^0 N$, $πN \to ωN$, $γN\to ρ^0 N$ and $γN \to ωN$ amplitudes supplemented by the Vector Meson Dominance assumption. The vector meson production amplitudes are calculated consistently using a relativistic and unitary coupled-channel approach to meson-nucleon scattering. We display results showing the importance of the quantum interference between $ρ^0$- and $ω$-mesons in the $e^+e^-$ channel to unravel the strength of the coupling of $ρ^0$- and $ω$-mesons to specific baryon excitations. The $πN \to e^+e^- N$ and $γN \to e^+e^- N$ reactions underlie the more complex $πA \to e^+e^- X$ and $γA \to e^+e^- X$ nuclear processes whose measurement is planned at GSI (with the HADES detector) and under analysis at JLab (with the CLAS detector).

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