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.