Charged-Current Elastic Scattering at the Electron-Ion Collider

We discuss the measurement of the charged-current elastic scattering process $e^-p\rightarrow\nu_e n$ at the Electron-Ion Collider (EIC). This process provides sensitivity to the axial form factor of the nucleon, which encodes the spatial distribution of weak charge, and is one of the least-well-known nucleon properties. Colliding electrons with polarized protons would allow for the first measurement of the axial form factor via the $e^-p\rightarrow\nu_e n$ target spin asymmetry. We determine that such a measurement at the EIC, perhaps unsurprisingly, will prove extremely challenging.