“School of Particles And Accelerator”
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Paper IPM / Particles And Accelerator / 16319  


Abstract:  
We explore features of the scalar structure X_{0}(2900), which is one of the two
resonances discovered recently by LHCb in the D^{−}K^{+} invariant mass
distribution in the decay B^{+} → D^{+}D^{−}K^{+}. We treat X_{0}(2900)
as a hadronic molecule composed of the conventional mesons ―D^{*0} and K^{*0} and calculate its mass, coupling and width. The mass and
coupling of X_{0}(2900) are determined using the QCD twopoint sum rule
method by taking into account quark, gluon, and mixing vacuum condensates up
to dimension 15. The decay of this structure to final state D^{−}K^{+}
is investigated in the context of the lightcone sum rule approach supported
by a softmeson technique. To this end, we evaluate strong coupling G
corresponding to vertex X_{0}D^{−}K^{+}, which allows us to find width of
the decay X_{0}(2900) → D^{−}K^{+}. Obtained predictions for the mass of
the hadronic molecule ―D^{* }K^{*} m=(2868 ±198) MeV and for its width Γ = (49.6 ±9.3) MeV can be considered
as arguments in favor of molecule interpretation of X_{0}(2900).
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