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Strong decays of $\bar{D}^{*}K^{*}$ molecules and the newly observed $X_{0,1}$ states
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abstract
Lately, the LHCb Collaboration reported the discovery of two new states in the $B^+\rightarrow D^+D^- K^+$ decay, i.e., $X_0(2866)$ and $X_1(2904)$. In the present work, we study whether these states can be understood as $D^*\bar{K}^*$ molecules from the perspective of their two-body strong decays into $D^-K^+$ via triangle diagrams and three-body decays into $D^*\bar{K}\pi$. The coupling of the two states to $D^*\bar{K}^*$ are determined from the Weinberg compositeness condition, while the other relevant couplings are well known. The obtained strong decay width for the $X_0(2866)$, in marginal agreement with the experimental value within the uncertainty of the model, hints at a large $D^*\bar{K}^*$ component in its wave function. On the other hand, the strong decay width for the $X_1(2904)$, much smaller than its experimental counterpart, effectively rules out its assignment as a $D^*\bar{K}^*$ molecule.
Forward citations
Cited by 4 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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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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Explicitly exotic heavy flavor mesons
A coupled-channel three-body calculation predicts an isovector exotic meson with explicit charm and strangeness content.
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