Connecting jet substructure to hadronization at the EIC

EIC provides a unique laboratory for a precise study of both perturbative and non-perturbative QCD. Jets are multi-scale objects which inherently contain information related to time-evolution of QCD matter from short to long distances scales. Utilizing the Center-of-Mass Energy (CMS) variability in the EIC $\&$ the PID capabilities of the EIC detectors, one can study hadronization within jets in a wide kinematic regime by characterizing the x and $Q^2$ scales of the process. We propose a new class of jet substructure observables constructed with identified leading and first subleading particles within jets (for example, poni-pion). Comparing numbers of events where their electric charges are of the same sign ($N_{CC}$) or opposite sign ($N_{C\overline{C}}$), we define an asymmetry observable by $r = (N_{CC} N_{C\overline{C}})/(N_{CC}+N_{C\overline{C}})$ as functions of jet observables. These include the formation time extracted from the two leading particle kinematics, which gives information on the space-time evolution of jets. We will show how the multi-differential charged correlations for identified particle species are sensitive for various MC event generators at EIC to HERA center of mass energies.