Analysis of the $X(3960)$ and related tetraquark molecular states via the QCD sum rules

Abstract

In this work, we study the $D\bar{D}$, $DD$, $D{\bar{D}}_s$, $D{D}_s$, $D_s{\bar{D}}_s$ and $D_s{D}_s$ tetraquark molecular states with the $J^{PC}=0^{++}$ via the QCD sum rules. The prediction $M_{D_s{\bar{D}}_s}=3.98\pm 0.10\mathrm{GeV}$ is in very good agreement with the experimental value $M_{X(3960)}=3956\pm 5\pm 10\mathrm{MeV}$ from the LHCb collaboration and supports assigning the $X(3960)$ as the $D_s^{+}{D}_s^{-}$ molecular state with the $J^{PC}=0^{++}$. We take account of our previous works on the four-quark states consisting of two color-neutral clusters, and acquire the mass spectrum of the ground state hidden-charm and doubly-charm tetraquark molecular states.

arXiv comment9 pages, 8 figures

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Cited by in corpus (21)

• 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
• Analysis of $T_{cc}$ and $T_{bb}$ based on the hadronic molecular model and their spin multiplets
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Molecular states of $D^{\ast }{D}^{\ast }{\bar{K}}^{\ast }$ nature
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• On the nature of X(3960)
• Tetraquark Masses by using extension of Gursey-Radicati Mass Formula
• Shedding light on the $X(3930)$ and $X(3960)$ states with the $B^{-}\to K^{-}J/\psi \omega$ reaction
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Mass and decay width of $T_{ccs}$ from symmetries
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• Analysis of bound and resonant states of doubly heavy tetraquarks with spin $J\le 2$
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$
• Strong decays of the isovector-scalar $D^{\ast }{\bar{D}}^{\ast }$ hadronic molecule
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays
• Analysis of the $X(4475/4710)$, $X(4500/4700)$, $Z_c(4600)$, $Z_{\bar{c}\bar{s}}(4600)$ and related tetraquark states with the QCD sum rules