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We calculate the target normal single-spin asymmetry caused by two-photonexchange in inclusive electron-nucleon scattering in the resonance region. Ouranalysis uses the $1/N_c$ expansion of low-energy QCD and combines $N$ and$\Delta$ intermediate and final states using the contracted $SU(4)$ spin-flavorsymmetry. The normal spin asymmetry obtained in leading-order accuracy in$1/N_c$ has magnitude $\sim 10^{-2}$ and different sign in $ep$ and $en$scattering. It can be measured in electron scattering at lab energies $\sim$0.5-1.5 GeV and provides a clean probe of two-photon exchange dynamics.

Target normal single-spin asymmetry in inclusive electron-nucleon scattering with two-photon exchange: Analysis using $1/N_c$ expansion