${\Sigma }_c{\Sigma }_c$ interactions in chiral effective field theory

Abstract

We study the interactions of the ${\Sigma }_c{\Sigma }_c$ 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 ${\Sigma }_c{\Sigma }_c$ system to those of the ${\Sigma }_c^{(\ast )}{\bar{D}}^{(\ast )}$ 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 ${\Sigma }_c{\Sigma }_c$ system. We obtain a deep bound state $[{\Sigma }_c{\Sigma }_c{]}_{J=0}^{I=0}$ and a shallow bound state $[{\Sigma }_c{\Sigma }_c{]}_{J=1}^{I=1}$. As a byproduct, we further investigate the interactions of the ${\Lambda }_c{\Lambda }_c$ and ${\Lambda }_c{\Sigma }_c$ systems.

12 pages, 11 figure