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

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