The doubly charged scalar resonance $T_{ cs0}^{ a}(2900)^{ ++}$ is studied in the context of the hadronic molecule model. We consider $ T_{ cs0}^{ a}(2900)^{ ++}$ as a molecule $M=D^{ \ast +}K^{ \ast +}$ 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 $M \to D_{ s}^{ +}\pi^{ +}$, $M \to D_{ s}^{ \ast +}\rho^{ +}$, and $M \to D^{ \ast +}K^{ \ast +}$. Partial widths of these processes are determined by strong couplings $g_1$, $g_2$, and $g_3$ of particles at vertices $ MD_{ s}^{ +}\pi^{ +} $, $MD_{ s}^{ \ast +}\rho^{ +}$, and $M D^{ \ast +}K^{ \ast +}$ , 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 $m=(2924 \pm 107)~\mathrm{ MeV}$ and width $\Gamma=(123 \pm 25)~\mathrm{ MeV}$ of the hadronic molecule $ M$ allow us to consider it as a possible candidate of the resonance $ T_{ cs0}^{ a}(2900)^{ ++}$.
Categories: hep-ph hep-ex hep-lat