Hadronic molecule model for the doubly charmed state ${T}_{\mathrm{cc}}^{+}$

The mass, current coupling, and width of the doubly charmed four-quark meson ${T}_{\mathrm{cc}}^{+}$ are explored by treating it as a hadronic molecule ${M}_{\mathrm{cc}}^{+}\equiv {D}^{0}{D}^{\ast +}$ . The mass and current coupling of this molecule are calculated using the QCD two-point sum rule method by including into analysis contributions of various vacuum condensates up to dimension 10. The prediction for the mass m = (4060 ± 130) MeV exceeds the two-meson D 0 D ∗+ threshold 3875.1 MeV, which makes decay of the molecule ${M}_{\mathrm{cc}}^{+}$ to a pair of conventional mesons D 0 D ∗+ kinematically allowed process. The strong coupling G of particles at the vertex ${M}_{\mathrm{cc}}^{+}{D}^{0}{D}^{\ast +}$ is found by applying the QCD three-point sum rule approach, and used to evaluate the width of the decay ${M}_{\mathrm{cc}}^{+}\to {D}^{0}{D}^{\ast +}$ . Obtained result for the width Γ = (3.8 ± 1.7) MeV demonstrates that ${M}_{\mathrm{cc}}^{+}$ is wider than the resonance ${T}_{\mathrm{cc}}^{+}$ .