Modeling the resonance <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>T</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:mrow><mml:mi>a</mml:mi></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>2900</mml:mn><mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mrow><mml:mo>+</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math> as a hadronic molecule <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mrow><mml:mo>*</mml:mo><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math>

Abstract

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 $M={D}^{*+}{K}^{*+}$ 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 $M\ensuremath{\rightarrow}{D}_{s}^{+}{\ensuremath{\pi}}^{+}$, $M\ensuremath{\rightarrow}{D}_{s}^{*+}{\ensuremath{\rho}}^{+}$, and $M\ensuremath{\rightarrow}{D}^{*+}{K}^{*+}$. Partial widths of these processes are determined by strong couplings ${g}_{1}$, ${g}_{2}$, and ${g}_{3}$ of particles at vertices $M{D}_{s}^{+}{\ensuremath{\pi}}^{+}$, $M{D}_{s}^{*+}{\ensuremath{\rho}}^{+}$, 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 $m=(2924\ifmmode\pm\else\textpm\fi{}107)\text{ }\text{ }\mathrm{MeV}$ and width $\mathrm{\ensuremath{\Gamma}}=(123\ifmmode\pm\else\textpm\fi{}25)\text{ }\text{ }\mathrm{MeV}$ of the hadronic molecule $M$ allow us to consider it as a possible candidate of the resonance ${T}_{cs0}^{a}(2900{)}^{++}$.

Topics & Concepts