Charm production in charged current deep inelastic scattering at EIC

The recently-announced U.S.-based Electron-Ion Collider (EIC) is projected to facilitate polarized $eA$ collisions at center-of-mass energies of $\sqrt{s} = 141 GeV$ at the largest $ep$ energy mode and $\sqrt{s} = 104 GeV$ at the highest luminosity mode. The polarized electron beam would provide a unique opportunity to study the inner-structure of the proton and atomic nucleus. Recent studies show that $s(x,Q2)$ and $\Delta s(x,Q2)$ can be probed via charm production in charged current DIS (CCDIS). We discuss the feasibility of such investigation in EIC in a Monte Carlo study by extrapolating charm production cross section and yield based on recent ZEUS measurements.