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New scalar resonance $X_0(2900)$ as a $\overline{D}^{*}K^{*}$ molecule: Mass and width
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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 $B^{+} \to D^{+}D^{-}K^{+}$. We treat $ X_0(2900)$ as a hadronic molecule composed of the conventional mesons $ \overline{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 two-point 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 light-cone sum rule approach supported by a soft-meson technique. To this end, we evaluate strong coupling $G$ corresponding to vertex $X_0D^{-}K^{+}$, which allows us to find width of the decay $X_0(2900) \to D^{-}K^{+}$. Obtained predictions for the mass of the hadronic molecule $\overline{D}^{*0 }K^{*0}$ $m=(2868 \pm 198)~\mathrm{MeV} $ and for its width $\Gamma=(49.6 \pm 9.3)~ \mathrm{MeV}$ can be considered as arguments in favor of molecule interpretation of $X_0(2900)$.
Forward citations
Cited by 5 Pith papers
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Singly heavy tetraquarks
A hybrid quark model with gluon and meson exchange predicts that LHCb's T-c̄s̄0(2870) and T-cs̄0(2900) are compact tetraquarks, and that Ds0(2317), Ds1(2460), Tbs(5568), and Tcs(2327) are not.
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Prediction of $QQqq\bar{s}$ molecular pentaquarks within the extended local hidden gauge approach
A model calculation predicts fourteen double-heavy molecular pentaquark states, but their existence and binding energies depend critically on an unconstrained regularization parameter.
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Diffusion Monte Carlo calculation of compact $T_{cs0}$ and $T_{c\bar{s}0}$ tetraquarks
A constituent quark model with diffusion Monte Carlo identifies the LHCb Tcs0(2870) and Tcbar_s0(2900) as compact, excited flavor states with I=1, and predicts lower-mass ground flavor partners.
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Study of the exotic three-body $N D^* \bar{K}^*$ system
A fixed-center Faddeev calculation predicts five N D* K̄* bound states with spin 1/2, 3/2, 5/2 and binding energies of 10 to 30 MeV.
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Strong decays of the possible $D^{*}K$ and $\bar{D}^{*}K$ molecules
An effective-Lagrangian calculation predicts the I=1 D*K molecule T^a_cs1(2470) has a D_s*pi0 width of 13 to 196 MeV, about 10^3 times the predicted D_s1(2460) molecular width.
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