Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV

Abstract

We propose that the $X(3915)$ observed in the $J/\psi \omega$ channel is the same state as the ${\chi }_{c2}(3930)$, and the $X(3960)$, observed in the $D_s^{+}{D}_s^{-}$ channel, is an $S$-wave $D_s^{+}{D}_s^{-}$ hadronic molecule. In addition, the $J^{PC}=0^{++}$ {component in the $B^{+}\to D^{+}{D}^{-}{K}^{+}$} assigned to the $X(3915)$ in the current {\it Review of Particle Physics} has the same origin as the $X(3960)$, which has a mass around 3.94~GeV. To check the proposal, the available data in the $D\bar{D}$ and $D_s^{+}{D}_s^{-}$ channels from both $B$ decays and $\gamma \gamma$ fusion reaction are analyzed considering both the $D\bar{D}$-$D_s{\bar{D}}_s$-$D^{\ast }{\bar{D}}^{\ast }$-$D_s^{\ast }{\bar{D}}_s^{\ast }$ coupled channels with $0^{++}$ and a $2^{++}$ state introduced additionally. It is found that all the data in different processes can be simultaneously well reproduced, and the coupled-channel dynamics produce four hidden-charm scalar molecular states with masses around 3.73, 3.94, 3.99 and 4.23~GeV, respectively. The results may deepen our understanding of the spectrum of charmonia as well as of the interactions between charmed hadrons.

arXiv comment15 pages, 6 figures, 2 tables, to apear in Sci. Bull

References in corpus (73)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• Exotics: Heavy Pentaquarks and Tetraquarks
• An updated review of the new hadron states
• Observation of a near-threshold omega-J/psi mass enhancement in exclusive B-->K omega J/psi decays
• Dynamically Generated Open and Hidden Charm Meson Systems
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Evidence for a Narrow Near-Threshold Structure in the $J/\psi \varphi$ Mass Spectrum in $B^{+}\to J/\psi \varphi K^{+}$ Decays
• Threshold cusps and triangle singularities in hadronic reactions
• Consequences of Heavy Quark Symmetries for Hadronic Molecules
• Molecular States of Heavy Quark Mesons
• A survey of heavy-heavy hadronic molecules
• X(3872) and Other Possible Heavy Molecular States
• Amplitude analysis of the $B^{+}\to D^{+}{D}^{-}{K}^{+}$ decay
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Evidence for the decay X(3872) --> J/psi omega
• Observation of new resonances decaying to $J/\psi K^{+}$ and $J/\psi \varphi$
• Exotic hadrons: review and perspectives
• Interpretation of the LHCb $P_c$ States as Hadronic Molecules and Hints of a Narrow $P_c(4380)$
• Observation of Y(3940) -> J/psi omega in B -> J/psi omega K at BABAR
• Hadronic molecule structure of the Y(3940) and Y(4140)
• Light Flavour and Heavy Quark Spin Symmetry in Heavy Meson Molecules
• Observation of a charmonium-like enhancement in the gamma gamma --> omega J/psi process
• Tetra- and penta-quark structures in the constituent quark model
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• X(3915) and X(4350) as new members in P-wave charmonium family
• Observation of the chi_c2(2P) meson in the reaction gamma gamma -> D Dbar at BABAR
• $Z_c(3900)$: what has been really seen?
• Where is the χ_{c0}(2P)?
• Study of X(3915) --> J/ψω in two-photon collisions
• Possible S-wave Bound-States of Two Pseudoscalar Mesons
• ${\chi }_{c0}^{}(3915)$ As the Lightest $c\bar{c}s\bar{s}$ State
• Charmonium-like resonances with $J^{PC}=0^{++},2^{++}$ in coupled $D\bar{D}$, $D_s{\bar{D}}_s$ scattering on the lattice
• Heavy-quark spin symmetry partners of the $X(3872)$ revisited
• Amplitude analysis and the nature of the Zc(3900)
• A QCD sum rule calculation for the Y(4140) narrow structure
• Decays of $P_c$ into $J/\psi N$ and ${\eta }_{c}N$ with heavy quark spin symmetry
• Hidden charm dynamically generated resonances and the $e^{+}{e}^{-}\to J/\psi D\bar{D}$, $J/\psi D{\bar{D}}^{\ast }$ reactions
• Possible Molecular States of $D_s^{\ast }{\bar{D}}_s^{\ast }$ System and Y(4140)
• Charmonium resonances in the 3.9 GeV/$c^2$ energy region and the $X(3915)/X(3930)$ puzzle
• Could the $X(3915)$ and the $X(3930)$ Be the Same Tensor State?
• Is the X(3915) the chi_{c0}(2P)?
• $(Q\bar{s}{)}^{(\ast )}(\bar{Q}s{)}^{(\ast )}$ molecular states from QCD sum rules: a view on Y(4140)
• Scalar tetraquark state candidates: $X(3915)$, $X(4500)$ and $X(4700)$
• XYZ spectroscopy at electron-hadron facilities: Exclusive processes
• Exotic resonances due to $\eta$ exchange
• Mass spectra for $qc\bar{q}\bar{c}$, $sc\bar{s}\bar{c}$, $qb\bar{q}\bar{b}$, $sb\bar{s}\bar{b}$ tetraquark states with $J^{PC}=0^{++}$ and $2^{++}$
• 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(3872) and its Partners in the Heavy Quark Limit of QCD
• Analysis of the $\mathbf{\gamma \gamma }\to \mathbf{D}\bar{\mathbf{D}}$ reaction and the $D\bar{D}$ bound state
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
• Predicting the ${\bar{D}}_s^{(\ast )}{D}_s^{(\ast )}$ bound states as the partners of $X(3872)$
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• $X(3915)$ as a $D_s{\bar{D}}_s$ bound state
• Does the enhancement observed in $\gamma \gamma \to D\bar{D}$ contain two $P$-wave higher charmonia?
• $Z_c(3900)$: Confronting theory and lattice simulations
• Nucleon pole contributions in $J/\psi \to N\bar{N}\pi$, $p\bar{p}\eta$, $p\bar{p}{\eta }^{\prime }$ and $p\bar{p}\omega$ decays
• The $X(3960)$ seen in $D_s^{+}{D}_s^{-}$ as the $X(3930)$ state seen in $D^{+}{D}^{-}$
• Reanalysis of the $X(3915)$, $X(4500)$ and $X(4700)$ with QCD sum rules
• Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays
• Two-photon widths of the ${\chi }_{c0,2}$ states and helicity analysis for $χ_{c2}\arγγ$}
• Dispersive analysis of the $\gamma \gamma \to D\bar{D}$ data and the confirmation of the $D\bar{D}$ bound state
• Role of the newly measured $B\to KD\bar{D}$ process to establish ${\chi }_{c0}(2P)$ state
• Semi-inclusive lepto-production of hidden-charm exotic hadrons
• Can X(3915) be the tensor partner of the X(3872)?
• Connection between near the $D_s^{+}{D}_s^{-}$ threshold enhancement in $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ and conventional charmonium ${\chi }_{c0}(2P)$
• Comment on the X(3915) nonstandard hadron candidate

Cited by in corpus (10)

• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Charmonium ${\chi }_{c0}$ and ${\chi }_{c2}$ resonances in coupled-channel scattering from lattice QCD
• $P$-wave charmonium contribution to hidden-charm states from reanalysis of lattice QCD data
• On the nature of X(3960)
• Production of the $X(4014)$ as the spin-2 partner of $X(3872)$ in $e^{+}{e}^{-}$ collisions
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes
• Exotic hadrons associated with $b$-quark
• Decoding the near-threshold $X_{0,1}(4140)$ and $X_1(4685)$ states via OZI-suppressed coupled-channel scattering
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays