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 $m=(4060\pm 130)\mathrm{MeV}$ exceeds the two-meson $D^0{D}^{\ast +}$ threshold $3875.1\mathrm{MeV}$, which makes decay of the molecule $M_{cc}^{+}$ to a pair of conventional mesons $D^0{D}^{\ast +}$ 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 $\Gamma =(3.8\pm 1.7)\mathrm{MeV}$ demonstrates that $M_{cc}^{+}$ is wider than the resonance $T_{cc}^{+}$.

13 Pages and 4 Figures

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