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Modeling the resonance ${T}_{cs0}^{a}\left(2900{\right)}^{++}$ as a hadronic molecule ${D}^{*+}{K}^{*+}$

   Agaev, S. S.; Azizi, K.; Sundu, H.

The doubly charged scalar resonance ${T}_{cs0}^{a}\left(2900{\right)}^{++}$ is studied in the context of the hadronic molecule model. We consider ${T}_{cs0}^{a}\left(2900{\right)}^{++}$ as a molecule $M={D}^{*+}{K}^{*+}$ composed of vector mesons and calculate its mass, current coupling, and full width. The spectroscopic parameters of $M$, i.e., its mass and current coupling, are found by means of the QCD two-point sum rule method by taking into account vacuum expectation values of quark, gluon, and mixed operators up to dimension 10. The width of the molecule $M$ is evaluated through the calculations of the partial widths of the decay channels $M\to {D}_{s}^{+}{\pi }^{+}$, $M\to {D}_{s}^{*+}{\rho }^{+}$, and $M\to {D}^{*+}{K}^{*+}$. Partial widths of these processes are determined by strong couplings ${g}_{1}$, ${g}_{2}$, and ${g}_{3}$ of particles at vertices $M{D}_{s}^{+}{\pi }^{+}$, $M{D}_{s}^{*+}{\rho }^{+}$, and $M{D}^{*+}{K}^{*+}$, respectively. We calculate the couplings ${g}_{i}$ by employing the QCD light-cone sum rule approach and technical tools of the soft-meson approximation. Predictions obtained for the mass $m=\left(2924±107\right)\text{}\text{}\mathrm{MeV}$ and width $\Gamma =\left(123±25\right)\text{}\text{}\mathrm{MeV}$ of the hadronic molecule $M$ allow us to consider it as a possible candidate of the resonance ${T}_{cs0}^{a}\left(2900{\right)}^{++}$.

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