Confirming the existence of a new higher charmonium $\psi (4500)$ by the newly released data of $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$

Abstract

Recently, the BESIII Collaboration published the Born cross section of $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$, in which a new vector enhancement structure $Y(4500)$ was observed for the first time. The mass of the $Y(4500)$ resonance structure is in good agreement with our previous prediction for a $5S$-$4D$ mixing charmonium candidate $\psi (4500)$, while the measured width is $2\sigma$ larger than the theoretical estimate. In this work, we reanalyzed the cross section of $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$ by introducing two theoretically predicted charmonium states $\psi (4220)$ and $\psi (4500)$ as intermediate resonances, and found that this width deviation problem can be resolved. Meanwhile, we found that the inclusion of two established charmonium states $\psi (4160)$ and $\psi (4415)$ can further improve the fit quality, with four sets of widely different solutions to ${\Gamma }_{e^{+}{e}^{-}}\mathcal{B}(\psi \to K^{+}{K}^{-}J/\psi )$. In order to better identify the properties of the $Y(4500)$, we calculated the charmonium hadronic transition to final states $K^{+}{K}^{-}J/\psi$ within the charmed meson loop mechanism, where the fitted branching ratio of $\psi (4500)\to K^{+}{K}^{-}J/\psi$ can be well explained by the theoretical calculation, further supporting the new enhancement structure around 4.5 GeV as a higher charmonium $\psi (4500)$ that we predicted. Finally, we also discussed the possible signal of another predicted charmonium candidate $\psi (4380)$ in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$. These research results should be an important step in constructing the charmonium family and thoroughly solving the charmoniumlike $Y$ problem.

10 pages, 6 figures and 4 tables, accepted by Phys. Rev. D

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Cited by in corpus (14)

• Observation of Three Charmoniumlike States with $J^{PC}=1^{--}$ in $e^{+}{e}^{-}\to D^{\ast 0}{D}^{\ast -}{\pi }^{+}$
• Observation of a vector charmoniumlike state at 4.7 $\mathrm{GeV}/c^2$ and search for $Z_{cs}$ in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Colloquium: Hadron Production in Open-charm Meson Pair at $e^{+}{e}^{-}$ Collider
• Mass spectrum of $1^{--}$ heavy quarkonium
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• How higher charmonia shape the puzzling data of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section
• Possible Molecular Explanation for the Resonance $Y(4500)$
• Role of $4S$-$3D$ mixing in explaining the $\omega$-like $Y(2119)$ observed in $e^{+}{e}^{-}\to \rho \pi$ and $\rho (1450)\pi$
• Reevaluating the $\psi (4160)$ Resonance Parameter Using $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ Data in the Context of Unquenched Charmonium Spectroscopy
• Is the $3S$-$2D$ mixing strong for the charmonia $\psi (4040)$ and $\psi (4160)$?
• Coupled-channel study of $4S$-$3D$ mixing dynamics in $\psi (4220)$ and $\psi (4380)$
• Decoding the role of $\rho$ mesonic states for elucidating the $e^{+}{e}^{-}\to a_2(1320)\pi$ data and other reactions
• Prospects for observing the missing $2D$ and $1F$ charmonium states around 4 GeV
• Proposed mixing between $2P$ and $1F$ wave charmonia