Strong decays of $T_{c\bar{s}0}(2900{)}^{++/0}$ as a fully open-flavor tetraquark state

Abstract

We have studied the strong decay properties of the recently observed $T_{c\bar{s}0}^a(2900{)}^{++/0}$ by considering it as a $cu\bar{d}\bar{s}/cd\bar{u}\bar{s}$ fully open-flavor tetraquark state with $I(J^P)=1(0^{+})$. In the framework of QCD sum rules, we have calculated the three-point correlation functions of the two-body strong decay processes $T_{c\bar{s}0}^a(2900{)}^{++}\to D_s^{+}{\pi }^{+}$, $D^{+}{K}^{+},D_s^{\ast +}{\rho }^{+}$ and $D_{s1}^{+}{\pi }^{+}$. The full width of $T_{c\bar{s}0}^a(2900{)}^{++/0}$ is obtained as $161.7\pm 94.8$ MeV, which is consistent with the experimental observation. We predict the relative branching ratios as $\Gamma (T\to D_s\pi ):\Gamma (T\to DK):\Gamma (T\to D_s^{\ast }\rho ):\Gamma (T\to D_{s1}\pi )\approx 1.00:1.10:0.04:0.43$, implying that the main decay modes of $T_{c\bar{s}0}^a(2900{)}^{++/0}$ state are $D_s\pi$ and $DK$ channels in our calculations. However, the $P$-wave decay mode $D_{s1}\pi$ is also comparable and important by including the uncertainties. To further identify the nature of $T_{c\bar{s}0}^a(2900{)}^{++/0}$, we suggest confirming them in the $DK$ and $D_s\pi$ final states, and measuring the above ratios in future experiments.

9 pages, 7 figures

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