$Σ_cΣ_c$ interactions in chiral effective field theory

Abstract

We study the interactions of the $Σ_cΣ_c$ system in the framework of chiral effective theory. We consider the contact, one-pion and two-pion exchange interactions and bridge the low energy constants of the $Σ_cΣ_c$ system to those of the $Σ_c^{(*)}\bar{D}^{(*)}$ systems through the quark-level ansatz for the contact interaction. We explore the influence of intermediate channels in the two-pion exchange diagrams of the $Σ_cΣ_c$ system. We obtain a deep bound state $[Σ_cΣ_c]_{J=0}^{I=0}$ and a shallow bound state $[Σ_cΣ_c]_{J=1}^{I=1}$. As a byproduct, we further investigate the interactions of the $Λ_cΛ_c$ and $Λ_cΣ_c$ systems.