$\Sigma_c\Sigma_c$ interactions in chiral effective field theory

TL;DR

This paper investigates the interactions of the $\Sigma_c\Sigma_c$ system using chiral effective theory, revealing bound states and connecting low energy constants to related systems.

Contribution

It introduces a detailed chiral effective field theory analysis of $\Sigma_c\Sigma_c$ interactions, including intermediate channels and linking constants to other charmed baryon systems.

Findings

Deep bound state in $J=0, I=0$ channel

Shallow bound state in $J=1, I=1$ channel

Connections established between low energy constants and related systems

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 $\Sigma_c^{(*)}\bar{D}^{(*)}$ 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 $\Sigma_c\Sigma_c$ 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.