Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State

Abstract

We study $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ states assuming that they are hadronic molecules with $J^{PC}=0^{++}$ quantum number. We use two-point QCD sum rule formalism and extract the mass and decay constant values of these states. We take into account contributions of various quark, gluon, and mixed vacuum condensates up to dimension eight. The extracted mass and decay constant values of $D\bar{D}$ and $D_s^{+}{D}_s^{-}$ states read as $M_{D\bar{D}}=3795_{-82}^{+85}\mathrm{MeV}$, $f_{D\bar{D}}=1.70_{-0.29}^{+0.33}\times 10^{-2}{\mathrm{GeV}}^5$, and $M_{D_s^{+}{D}_s^{-}}=3983_{-88}^{+93}\mathrm{MeV}$, $f_{D_s^{+}{D}_s^{-}}=2.52_{-0.54}^{+0.64}\times 10^{-2}{\mathrm{GeV}}^5$, respectively. The predicted mass of $D_s^{+}{D}_s^{-}$ state is in good agreement with the recent LHCb observation and supports quantum number and molecular picture assignments. A possible observation of $D\bar{D}$ state would help for establishing the lowest four-quark state in charmonium sector.

7 pages, 5 figures

References in corpus (10)

• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Dynamically Generated Open and Hidden Charm Meson Systems
• Higher Charmonia and X,Y,Z states with Screened Potential
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Observation of a near-threshold structure in the $K^{+}$ recoil-mass spectra in $e^{+}{e}^{-}\to K^{+}(D_s^{-}{D}^{\ast 0}+D_s^{\ast -}{D}^0)$
• Four-quark exotic mesons
• 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
• $X(3915)$ as a $D_s{\bar{D}}_s$ bound state
• Connection between near the $D_s^{+}{D}_s^{-}$ threshold enhancement in $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ and conventional charmonium ${\chi }_{c0}(2P)$

Cited by in corpus (20)

• 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
• Fully charmed tetraquarks from LHC to FCC: Natural stability from fragmentation
• Bottomoniumlike states in proton collisions: Fragmentation and resummation
• Exotic tetraquarks at the HL-LHC with JETHAD: A high-energy viewpoint
• Fragmentation functions for axial-vector heavy tetraquarks: A TQ4Q1.1 update
• On the nature of X(3960)
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• 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
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Possible Molecular Explanation for the Resonance $Y(4500)$
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• Tetraquark-Jet Systems at the High-Luminosity LHC
• The ground states of hidden-charm tetraquarks and their radial excitations
• Multimodal Fragmentation of All-Heavy Pentaquarks: Uncertainty-Aware Predictions for Hadron Colliders
• Production of $X_{cs\bar{c}\bar{s}}$ in heavy ion collisions
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays
• Heavy-flavor multimodal fragmentation to $S$-wave pentacharms at next-generation hadron colliders
• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering