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.

9 pages, 8 figures

References in corpus (3)

• Dynamically Generated Open and Hidden Charm Meson Systems
• A survey of heavy-heavy hadronic molecules
• The Heavy Quark Spin Symmetry Partners of the X(3872)

Cited by in corpus (4)

• On the nature of X(3960)
• 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
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$