Strong decays of the explicitly exotic doubly charmed $DDK$ bound state

Abstract

Nowadays, it is generally accepted that the $DK$ interaction in isospin zero is strongly attractive and the $D_{s0}^{\ast }(2317)$ can be described as a $DK$ molecular state. Recent studies show that the three-body $DDK$ system binds as well with a binding energy about 60$\sim$70 MeV. The $DDK$ bound state has isospin $1/2$ and spin-parity $0^{-}$. If discovered either experimentally or in lattice QCD, it will not only provide further support on the molecular nature of the $D_{s0}^{\ast }(2317)$, but also provide a way to understand other exotic hadrons expected to be of molecular nature. In the present work, we study its two-body strong decay widths via triangle diagrams. We find that the partial decay width into $D{D}_s\pi$ is at the order of $2\sim 3$ MeV, which seems to be within the reach of the current experiments such as BelleII. As a result, we strongly recommend this decay channel of the $DDK$ bound state to be searched for experimentally.

arXiv comment6 pages, 4 figures

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• Study on triple-hadron bound states with Gaussian expansion method
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• Hadrons and Few-Body Physics
• Low-energy $DD$ scattering in lattice QCD
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• Multiple charm and hidden charm mesons with strangeness