Studying hadronization in the nuclear medium with heavy flavor production at the future Electron Ion Collider

Heavy flavor quark production in energetic electron-proton and electron-nucleus collisions at the future Electron Ion Collider (EIC) offers a unique sensitivity to study the gluon dynamics inside the nucleon and nucleus. Measuring heavy flavor hadron production in such collision systems can also provide insights into the hadron formation mechanism and color transport inside cold nuclear matter.

Precision heavy flavor measurements require good momentum and pointing resolution, which is fulfilled by a Monolithic Active Pixel Sensor (MAPS) based inner tracking and vertexing systems in the proposed EIC experiment. With the realistic detector effects and expected integrated luminosity for EIC, we reconstructed D^{0} mesons and \Lambda_{c} baryons via their decay products and calculated the projected statistical uncertainties. In this talk, we will present the projected precision of the charm hadron multiplicities measurements on nucleus A relative to proton with fully reconstructed D^{0} and \Lambda_{c}. We will discuss its impact on understanding charm hadronization in the nuclear matter the discriminating power on different hadronization models.