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

Abstract

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

Keywords

• Properties of Hadrons
• Specific QCD Phenomenology
• The Strong Coupling