Hadronic molecules in B decays

Abstract

There are eighteen possibly existing $D^{(\ast )}{\bar{D}}^{(\ast )}$, $D^{(\ast )}{\bar{K}}^{(\ast )}$, and $D^{(\ast )}{D}_s^{(\ast )-}$ hadronic molecular states. We construct their corresponding interpolating currents, and calculate their masses and decay constants using QCD sum rules. Based on these results, we calculate their relative production rates in $B$ and $B^{\ast }$ decays through the current algebra, and calculate their relative branching ratios through the Fierz rearrangement, as summarized in Table III. Our results support the interpretations of the $X(3872)$, $Z_c(3900)$, $Z_c(4020)$, and $X_0(2900)$ as the molecular states $D{\bar{D}}^{\ast }$ of $J^{PC}=1^{++}$, $D{\bar{D}}^{\ast }$ of $J^{PC}=1^{+-}$, $D^{\ast }{\bar{D}}^{\ast }$ of $J^{PC}=1^{+-}$, and $D^{\ast }{\bar{K}}^{\ast }$ of $J^P=0^{+}$, respectively. Our results also suggest that the $Z_{cs}(3985)$, $Z_{cs}(4000)$, and $Z_{cs}(4220)$ are strange partners of the $X(3872)$, $Z_c(3900)$, and $Z_c(4020)$, respectively. In the calculations we estimate the lifetime of a weakly-coupled composite particle $A=|BC⟩$ to be $1/t_A\approx 1/t_B+1/t_C+{\Gamma }_{A\to BC}+\cdots$, with $\cdots$ partial widths of other possible decay channels.

30 pages, 5 figures, 4 tables, accepted by PRD. arXiv admin note: text overlap with arXiv:2011.07187

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• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
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• Magnetic moment of the $X_1(2900)$ state in the diquark-antidiquark picture
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• Covalent hadronic molecules induced by shared light quarks
• Bottomonium-like tetraquarks in a chiral quark model
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• Molecular pentaquark states with open charm and bottom flavors
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• Light double-gluon hybrid states with the exotic quantum numbers $J^{PC}=1^{-+}$ and $3^{-+}$
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
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• The ground states of hidden-charm tetraquarks and their radial excitations
• Theoretical study of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the process ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$
• The $Z_{cs}$ states and the mixture of hadronic molecule and diquark-anti-diquark components within effective field theory
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