Possible molecular states from interactions of charmed baryons

TL;DR

This paper systematically investigates potential molecular states formed by pairs of charmed baryons using effective Lagrangians and Bethe-Salpeter equations, predicting bound states in various hidden-charm and double-charm systems.

Contribution

It introduces a comprehensive theoretical framework to predict molecular states of charmed baryons, including new potential bound states from heavy baryon interactions.

Findings

Strong attractions found in hidden-charm and double-charm systems.

Most considered systems can form bound states.

Suggests experimental searches at LHC and NDA.

Abstract

In this work, we perform a systematic study of possible molecular states composed of two charmed baryons including hidden-charm systems $\Lambda_c\bar{\Lambda}_c$, $\Sigma_c^{(*)}\bar{\Sigma}_c^{(*)}$, and $\Lambda_c\bar{\Sigma}_c^{(*)}$, and corresponding double-charm systems $\Lambda_c\Lambda_c$, $\Sigma_c^{(*)}\Sigma_c^{(*)}$, and $\Lambda_c\Sigma_c^{(*)}$. With the help of the heavy quark chiral effective Lagrangians, the interactions are described with $\pi$, $\rho$, $\eta$, $\omega$, $\phi$, and $\sigma$ exchanges. The potential kernels are constructed, and inserted into the quasipotential Bethe-Salpeter equation. The bound states from the interactions considered is studied by searching for the poles of the scattering amplitude. The results suggest that strong attractions exist in both hidden-charm and double-charm systems considered in the current work, and bound states can be produced in most of the systems. More experiment studies about these molecular states are suggested though the nucleon-nucleon collison at LHC and nucleon-antinucleon collison at $\rm \bar{P}ANDA$.