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Modeling the resonance $T_{cs0}^{a}(2900)^{++}$ as a hadronic molecule $D^{\ast +}K^{\ast +}$

High Energy Physics - Phenomenology 2023-05-24 v2 High Energy Physics - Experiment High Energy Physics - Lattice

Abstract

The doubly charged scalar resonance Tcs0a(2900)++T_{cs0}^{a}(2900)^{++} is studied in the context of the hadronic molecule model. We consider Tcs0a(2900)++ T_{cs0}^{a}(2900)^{++} as a molecule M=D+K+M=D^{\ast +}K^{\ast +} composed of vector mesons, and calculate its mass, current coupling and full width. The spectroscopic parameters of MM, 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 1010. The width of the molecule MM is evaluated through the calculations of the partial widths of the decay channels MDs+π+M \to D_{s}^{+}\pi^{+}, MDs+ρ+M \to D_{s}^{\ast +}\rho^{+}, and MD+K+M \to D^{\ast +}K^{\ast +}. Partial widths of these processes are determined by strong couplings g1g_1, g2g_2, and g3g_3 of particles at vertices MDs+π+ MD_{s}^{+}\pi^{+} , MDs+ρ+MD_{s}^{\ast +}\rho^{+}, and MD+K+M D^{\ast +}K^{\ast +} , respectively. We calculate the couplings gig_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±107) MeVm=(2924 \pm 107)~\mathrm{ MeV} and width Γ=(123±25) MeV\Gamma=(123 \pm 25)~\mathrm{MeV} of the hadronic molecule M M allow us to consider it as a possible candidate of the resonance Tcs0a(2900)++ T_{cs0}^{a}(2900)^{++}.

Keywords

Cite

@article{arxiv.2212.12001,
  title  = {Modeling the resonance $T_{cs0}^{a}(2900)^{++}$ as a hadronic molecule $D^{\ast +}K^{\ast +}$},
  author = {S. S. Agaev and K. Azizi and H. Sundu},
  journal= {arXiv preprint arXiv:2212.12001},
  year   = {2023}
}

Comments

12 Pages, 3 Figures and 1 Table