Establishing the heavy quark spin and light flavor molecular multiplets of the $X(3872)$, $Z_c(3900)$ and $X(3960)$

Abstract

Recently, the LHCb Collaboration reported a near-threshold enhancement, $X(3960)$, in the $D_s^{+}{D}_s^{-}$ invariant mass distribution. We show that the data can be well described by either a bound or a virtual state below the $D_s^{+}{D}_s^{-}$ threshold. The mass given by the pole position is $(3928\pm 3)$ MeV. Using this mass and the existing information on the $X(3872)$ and $Z_c(3900)$ resonances, a complete spectrum of the $S$-wave hadronic molecules formed by a pair of ground state charmed and anticharmed mesons is established. Thus, pole positions of the partners of the $X(3872)$, $Z_c(3900)$ and the newly observed $D_s^{+}{D}_s^{-}$ state are predicted. Calculations have been carried out at the leading order of nonrelativistic effective field theory and considering both heavy quark spin and light flavor SU(3) symmetries, though conservative errors from the breaking of these symmetries are provided.

arXiv comment19 pages, 4 figures and 5 tables. Version to appear in PRD

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Cited by in corpus (22)

• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Analysis of the $X(3960)$ and related tetraquark molecular states via the QCD sum rules
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Predicting isovector charmonium-like states from X(3872) properties
• Molecular charmed baryons and pentaquarks from light-meson exchange saturation
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• $P$-wave charmonium contribution to hidden-charm states from reanalysis of lattice QCD data
• On the nature of X(3960)
• Entanglement suppression and low-energy scattering of heavy mesons
• Dispersive analysis of the isospin breaking in the $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^0{\pi }^{-}$ decays
• Shedding light on the $X(3930)$ and $X(3960)$ states with the $B^{-}\to K^{-}J/\psi \omega$ reaction
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• Classification of Coupled-Channel Near-Threshold Structures
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Charmoniumlike Channels $1^{+}$ with Isospin $1$ from Lattice and Effective Field Theory
• Interaction of exotic states in a hadronic medium: the $Z_c(3900)$ case
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays
• Exotic hadrons associated with $b$-quark