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.

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

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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