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

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.