Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$

Abstract

In this work, we investigate the SU(3) flavor symmetry, heavy quark spin symmetry and their breaking effects in the di-meson systems. We prove the existence of the $[{\bar{D}}_s^{\ast }{D}_s^{\ast }{]}^{0^{++}}$, $[{\bar{D}}_s^{\ast }{D}_s/{\bar{D}}_s^{}{D}_s^{\ast }{]}^{1^{+-}}$, and $[{\bar{D}}_s^{\ast }{D}_s^{\ast }{]}^{1^{+-}}$ bound states as the consequence of two prerequisites in the SU(3) flavor symmetry and heavy quark spin symmetry. The first prerequisite, the $X(3872)$ as the weakly ${\bar{D}}^{\ast }D/\bar{D}{D}^{\ast }$ bound state is supported by its mass and decay branching ratios. The second prerequisite, the existence of the $[{\bar{D}}_s{D}_s{]}^{0^{++}}$ bound state is supported by the lattice QCD calculation [arXiv:2011.02542(hep-lat)] and the observation of ${\chi }_{c0}(3930)$ by the LHCb Collaboration[Phys.Rev.Lett.125,242001, Phys.Rev.D102,112003]. We hope the future experimental analyses can search for these bound states in the $B\to D_{(s)}^{(\ast )}{\bar{D}}_{(s)}^{(\ast )}h$ processes ($h$ denotes the light hadrons). The $[{\bar{D}}_s^{\ast }{D}_s^{\ast }{]}^{0^{++}}$ bound state is also expected to be reconstructed in the $J/\psi \varphi$ final state in the $B\to J/\psi \varphi K$ decay.

arXiv comment9 pages, 5 figures; add the coupled-channel discussions in EFT; to be published in Science Bulletin

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• $Z_{cs}(3985{)}^{-}$ as the $U$-spin partner of $Z_c(3900{)}^{-}$ and implication of other states in the ${\text{SU(3)}}_F$ symmetry and heavy quark symmetry
• Can the newly $P_{cs}(4459)$ be a strange hidden-charm ${\Xi }_c{\bar{D}}^{\ast }$ molecular pentaquarks?
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• An effective field theory for coupled-channel scattering
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Cited by in corpus (21)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Probing the long-range structure of the $T_{cc}^{+}$ with the strong and electromagnetic decays
• The double thresholds distort the lineshapes of the $P_{\psi s}^{\Lambda }(4338{)}^0$ resonance
• Observation of a resonant structure near the $D_s^{+}{D}_s^{-}$ threshold in the $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ decay
• Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$
• Analysis of the $X(3960)$ and related tetraquark molecular states via the QCD sum rules
• Revisit the isospin violating decays of $X(3872)$
• Implications of the $Z_{cs}(3985)$ and $Z_{cs}(4000)$ as two different states
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• Hidden and doubly heavy molecular states from interactions $D_{(s)}^{(\ast )}{\bar{D}}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{\bar{B}}_s^{(\ast )}$ and $D_{(s)}^{(\ast )}{D}_s^{(\ast )}$/$B_{(s)}^{(\ast )}{B}_s^{(\ast )}$
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Spectrum of the molecular tetraquarks: Unraveling the $T_{cs0}(2900)$ and $T_{c\bar{s}0}^a(2900)$
• Higher states of the $B_c$ meson family
• Virtual states in the coupled-channel problems with an improved complex scaling method
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model
• Exotic hadrons associated with $b$-quark