In this work, we perform a systematic study of possible molecular states composed of two charmed baryons including hidden-charm systems ${\mathrm{\Lambda }}_c{\overline{\mathrm{\Lambda }}}_c$, ${\mathrm{\Sigma }}_c^{(*)}{\overline{\mathrm{\Sigma }}}_c^{(*)}$, and ${\mathrm{\Lambda }}_c{\overline{\mathrm{\Sigma }}}_c^{(*)}$, and corresponding double-charm systems ${\mathrm{\Lambda }}_c{\mathrm{\Lambda }}_c$, ${\mathrm{\Sigma }}_c^{(*)}{\mathrm{\Sigma }}_c^{(*)}$, and ${\mathrm{\Lambda }}_c{\mathrm{\Sigma }}_c^{(*)}$. With the help of the heavy quark chiral effective Lagrangians, the interactions are described with $\pi$, $\rho$, $\eta$, $\omega$, $\varphi$, 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 experimental studies about these molecular states are suggested though the nucleon-nucleon collision at LHC and nucleon-antinucleon collision at $\overline{\mathrm{P}}\mathrm{ANDA}$.

• Received 14 August 2022
• Accepted 17 October 2022

DOI:https://doi.org/10.1103/PhysRevD.106.074030

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Published by the American Physical Society