Masses and strong decays of open charm hexaquark states $\Sigma_{c}^{(\ast)}{\Sigma}_{c}^{(\ast)}$

TL;DR

This paper predicts the existence and decay properties of open charm hexaquark states composed of ${ m ext{Sigma}}_c^{(*)}$ baryons, providing theoretical guidance for future experimental searches following recent discoveries in the field.

Contribution

It introduces a systematic study of masses and decay widths of ${ m ext{Sigma}}_c^{(*)}$ hexaquark states, incorporating heavy quark spin symmetry breaking and effective Lagrangian methods.

Findings

Predicted several bound states with different isospins.

Estimated decay widths ranging from a few MeV to tens of MeV.

Recommended experimental searches in $ ext{Lambda}_c ext{Lambda}_c$ invariant mass distributions.

Abstract

Inspired by the recent discovery of the doubly charmed tetraquark state $T_{cc}^{+}$ by the LHCb Collaboration, we perform a systematic study of masses and strong decays of open charm hexaquark states ${\Sigma}_{c}^{(\ast)}\Sigma_{c}^{(\ast)}$. Taking into account heavy quark spin symmetry breaking, we predict several bound states of isospin $I=0$, $I=1$, and $I=2$ in the one boson exchange model. Moreover, we adopt the effective Lagrangian approach to estimate the decay widths of ${\Sigma}_{c}^{(\ast)}\Sigma_{c}^{(\ast)} \to \Lambda_{c}\Lambda_{c}$ and their relevant ratios via the triangle diagram mechanism, which range from a few MeV to a few tens of MeV. We strongly recommend future experimental searches for the ${\Sigma}_{c}^{(\ast)}\Sigma_{c}^{(\ast)}$ hexaquark states in the $\Lambda_c\Lambda_c$ invariant mass distributions.