Investigation of $Λ_c$ States and $(\bar{D}N)$ Molecules Production at EicC and EIC
We explore various $Λ_c$ states, including $Λ_c$, $Λ_c(2595)$, $Λ_c(2940)$, and the predicted $(\bar{D}N)$ hadronic molecular states, in photoproduction and electroproduction to estimate their yields at EicC and EIC. Assuming $Λ_c(2940)$ as either a hadronic molecular state or a three-quark state, our analysis demonstrates that its production rates are of the same order of magnitude, posing challenges in identifying its underlying structure. After considering the integral luminosity, the yields of $Λ_c$ excited states reach $10^6$ to $10^7$ at EicC and EIC. The $(\bar{D}N)$ molecular states with both isospin $I = 0$ and $I = 1$ are also studied, with yields reaching $10^5$, making them likely to be detectable at these facilities.