Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states

Abstract

Based on the updated data of charmoniumlike state $Y(4220)$ reported in the hidden-charm %and open-charm channels of the $e^{+}{e}^{-}$ annihilation, we propose a $4S$-$3D$ mixing scheme to categorize $Y(4220)$ into the $J/\psi$ family. We find that the present experimental data can support this charmonium assignment to $Y(4220)$. Thus, $Y(4220)$ plays a role of a scaling point in constructing higher charmonia above 4 GeV. To further test this scenario, we provide more abundant information on the decay properties of $Y(4220)$, and predict its charmonium partner $\psi (4380)$, whose evidence is found by analyzing the $e^{+}{e}^{-}\to \psi (3686){\pi }^{+}{\pi }^{-}$ data from BESIII. If $Y(4220)$ is indeed a charmonium, we must face how to settle the established charmonium $\psi (4415)$ in the $J/\psi$ family. In this work, we may introduce a $5S$-$4D$ mixing scheme, and obtain the information of the resonance parameters and partial open-charm decay widths of $\psi (4415)$, which do not contradict the present experimental data. Additionally, we predict a charmonium partner $\psi (4500)$ of $\psi (4415)$, which can be accessible at future experiments, especially, BESIII and BelleII. The studies presented in this work provide new insights to establish the higher charmonium spectrum.

15 pages, 10 figures and 4 tables. Accepted by Phys. Rev. D

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Cited by in corpus (12)

• Pentaquark and Tetraquark states
• Are the $Y$ states around 4.6 GeV from $e^{+}{e}^{-}$ annihilation higher charmonia?
• Cross Section Measurement of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (3686)$ from $\sqrt{s}=4.0076$~GeV to 4.6984~GeV
• Observation of a vector charmoniumlike state at 4.7 $\mathrm{GeV}/c^2$ and search for $Z_{cs}$ in $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Spectroscopic survey of higher-lying states of $B_c$ meson family
• Fully-heavy structures in the invariant mass spectrum of $J/\psi \psi (3686)$, $J/\psi \psi (3770)$, $\psi (3686)\psi (3686)$, and $J/\psi {\rm Y}(1S)$ at hadron colliders
• Where are $3P$ and higher $P-$wave states in the charmonium family?
• Deciphering the light vector meson contribution to the cross sections of $e^{+}{e}^{-}$ annihilations into the open-strange channels through a combined analysis
• Connection between near the $D_s^{+}{D}_s^{-}$ threshold enhancement in $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ and conventional charmonium ${\chi }_{c0}(2P)$
• Restudy of the color-allowed two-body nonleptonic decay of bottom baryons ${\Xi }_b$ and ${\Omega }_b$ supported by hadron spectroscopy
• Measurement of Born cross section of $e^{+}{e}^{-}\to {\Sigma }^{+}{\bar{\Sigma }}^{-}$ at center-of-mass energies between 3.510 and 4.951 GeV
• Hidden-bottom hadronic decays of ${\rm Y}(10753)$ with a ${\eta }^{(\prime )}$ or $\omega$ emission