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.

arXiv comment30 pages, 5 figures, 4 tables, accepted by PRD. arXiv admin note: text overlap with arXiv:2011.07187

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• The "Closed" Chiral Symmetry and Its Application to Tetraquark
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• Decay properties of the $X(3872)$ through the Fierz rearrangement
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• Can $Z_{cs}(3985)$ be a molecular state of ${\bar{D}}_s^{\ast }D$ and ${\bar{D}}_s{D}^{\ast }$ ?
• Decay widthes of ${}^3{P}_J$ charmonium to $DD,D{D}^{\ast },D^{\ast }{D}^{\ast }$ and corresponding mass shifts of ${}^3{P}_J$ charmonium

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• Magnetic moment of the $X_1(2900)$ state in the diquark-antidiquark picture
• Searching for $X_0(2900)$ and $X_1(2900)$ through the kaon induced reactions
• Covalent hadronic molecules induced by shared light quarks
• Bottomonium-like tetraquarks in a chiral quark model
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
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• Molecular pentaquark states with open charm and bottom flavors
• $Z_{cs}(3985)$ in next-to-leading-order chiral effective field theory -- the first truncation uncertainty analysis
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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 ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$
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