The $πN \to e^+e^- N$ reaction close to the vector meson production threshold

The $π^-p \to e^+e^- n$ and $π^+n \to e^+e^- p$ reaction cross sections are calculated below and in the vicinity of the vector meson ($ρ^0$, $ω$) production threshold. These processes are largely responsible for the emission of $e^+e^-$ pairs in pion-nucleus reactions and contribute to the dilepton spectra observed in relativistic heavy ion collisions. They are dominated by the decay of low-lying baryon resonances into vector meson-nucleon channels. The vector mesons materialize subsequently into $e^+e^-$ pairs. Using $πN\to ρ^0 N$ and $πN \to ωN$ amplitudes calculated in the center of mass energy interval $1.4<\sqrt s <1.8$ GeV, we compute the $π^-p \to e^+e^- n$ and $π^+n \to e^+e^- p$ reaction cross sections in these kinematics. Below the vector meson production threshold, the $ρ^0 - ω$ interference in the $e^+e^-$ channel appears largely destructive for the $π^-p \to e^+e^- n$ cross section and constructive for the $π^+n \to e^+e^- p$ cross section. The pion beam and the HADES detector at GSI offer a unique possibility to measure these effects. Such data would provide strong constraints on the coupling of vector meson-nucleon channels to low-lying baryon resonances.

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