$\Lambda_c$ baryon production at future EIC

In high energy collisions, heavy quarks (c, b) are predominately produced in the initial hard scattering process. The relative ratio of different heavy flavor hadrons species serves as a tool to study charm quark hadronization mechanism. A large $\Lambda_c^+/D^0$ ratio is observed in both p+p and A+A collisions at $p_T<10$ GeV at LHC and RHIC. The high statistics charm baryon production in e+p and e+A collisions in the future Electron-Ion Collider (EIC) at Brookhaven National Laboratory shed light on the hadronization mechanism in the cold nuclear medium. In this talk, the measurement of $\Lambda_c^+/D^0$ ratio in e+p and e+A collisions in the future EIC will be studied. $\Lambda_c^+/D^0$ ratio as a function of multiplicity, transverse momentum, and $Q^2$ in different systems will be presented. We will also discuss the potential of $\Lambda_c^+$ production measurements in the future EIC collider. The physics projections will be shown based on estimated EIC detector performance.