Investigation of $\Lambda_c$ States and $(\bar{D}N)$ Molecules Production at EicC and EIC

TL;DR

This paper investigates the production of various $oldsymbol{ extLambda_c}$ states and $oldsymbol{(ar{D}N)}$ molecules in photoproduction and electroproduction at EicC and EIC, estimating their yields and exploring their structures.

Contribution

It provides the first estimates of production rates for $oldsymbol{ extLambda_c}$ states and $oldsymbol{(ar{D}N)}$ molecules at future colliders, considering different structural hypotheses.

Findings

$oldsymbol{ extLambda_c}$ excited states yields reach $10^6$ to $10^7$ at EicC and EIC.

$oldsymbol{(ar{D}N)}$ molecular states yields reach $10^5$, indicating detectability.

Production rates are similar whether $ extLambda_c(2940)$ is a molecular or three-quark state.

Abstract

We explore various $\Lambda_c$ states, including $\Lambda_c$, $\Lambda_c(2595)$, $\Lambda_c(2940)$, and the predicted $(\bar{D}N)$ hadronic molecular states, in photoproduction and electroproduction to estimate their yields at EicC and EIC. Assuming $\Lambda_c(2940)$ 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 $\Lambda_c$ 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.