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

Abstract

The mass, current coupling, and width of the doubly charmed four-quark meson {T}_{cc}^{+} are explored by treating it as a hadronic molecule {M}_{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 D0D∗+ threshold 3875.1 MeV, which makes decay of the molecule {M}_{cc}^{+} to a pair of conventional mesons D0D∗+ kinematically allowed process. The strong coupling G of particles at the vertex {M}_{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}_{cc}^{+}to {D}^0{D}^{ast +} . Obtained result for the width Γ = (3.8 ± 1.7) MeV demonstrates that {M}_{cc}^{+} is wider than the resonance {T}_{cc}^{+} .