Pentaquark $P_c$ electroproduction in $J/\psi +p$ channel in electron-proton collisions

Pentaquark states electro- and photo-production is an unique platform to disentangle their nature due to the potential absence of triangle sigularity. To this end, the eSTARlight package is adapted to study the electroproductin of pentaquark $P_c$ states, discovered first by LHCb, in the $e p \to e J/\psi p$ process at electron-ion colliders (EICs). The results are compared to the non-resonant $t$-channel, which is described by the Pomeron exchange in our studies. We address the difference of proposed EICs in China and USA from intermediate to high energy configuration and explore their potential of searching for pentaquark $P_c$ states with the help of $J/\psi$ production in electron-proton scattering.