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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• Cross Section Measurement of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\psi (3686)$ from $\sqrt{s}=4.0076$~GeV to 4.6984~GeV
• Correlation of the hidden-charm molecular tetraquarks and the charmoniumlike structures existing in the $B\to XYZ+K$
• Mass Spectra and Decay Properties of Singly Heavy Bottom-Strange Baryons
• 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?
• Light unflavor vector meson spectroscopy around the mass range of $2.4\sim 3$ GeV and possible experimental evidence
• Confirming the existence of a new higher charmonium $\psi (4500)$ by the newly released data of $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Spectra and decay properties of ${\Lambda }_b$ and ${\Sigma }_b$ baryons
• Precise Measurement of Born Cross Sections for $e^{+}{e}^{-}\to D\bar{D}$ at $\sqrt{s}=3.80-4.95$ GeV
• Deciphering the light vector meson contribution to the cross sections of $e^{+}{e}^{-}$ annihilations into the open-strange channels through a combined analysis
• Predicted $\Lambda \bar{\Lambda }$ and ${\Xi }^{-}{\bar{\Xi }}^{+}$ decay modes of the charmoniumlike $Y(4230)$
• Connection between near the $D_s^{+}{D}_s^{-}$ threshold enhancement in $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$ and conventional charmonium ${\chi }_{c0}(2P)$
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• Restudy of the color-allowed two-body nonleptonic decay of bottom baryons ${\Xi }_b$ and ${\Omega }_b$ supported by hadron spectroscopy
• Charmonium: Conventional and $XYZ$ States in a Relativistic Screened Potential Model
• Colloquium: Hadron Production in Open-charm Meson Pair at $e^{+}{e}^{-}$ Collider
• How higher charmonia shape the puzzling data of the $e^{+}{e}^{-}\to \eta J/\psi$ cross section
• Measurement of Born cross section of $e^{+}{e}^{-}\to {\Sigma }^{+}{\bar{\Sigma }}^{-}$ at center-of-mass energies between 3.510 and 4.951 GeV
• The assignments of the $B_s$ mesons within the screened potential model and ${}^3{P}_0$ model
• The assignments of the bottom mesons within the screened potential model and ${}^3{P}_0$ model
• Measurement of Born cross sections of $e^{+}{e}^{-}\to {\Xi }^0{\bar{\Xi }}^0$ and search for charmonium(-like) states at $\sqrt{s}$ = 3.51-4.95 GeV
• Construction of Isoscalar $2^{-+}$ Mesonic States Inspired by the $X(2600)$ Discovery
• 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
• Measurement of the cross sections of $e^{+}{e}^{-}\to K^{-}{\bar{\Xi }}^{+}\Lambda /{\Sigma }^0$ at center-of-mass energies between 3.510 and 4.914 GeV
• Observation of Three Resonant Structures in the Cross Section of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{h}_c$
• Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes
• Measurement of Born cross section of $e^{+}{e}^{-}\to {\Sigma }^0{\bar{\Sigma }}^0$ at $\sqrt{s}=3.50-4.95$ GeV
• Is the $3S$-$2D$ mixing strong for the charmonia $\psi (4040)$ and $\psi (4160)$?
• Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays
• Coupled-channel study of $4S$-$3D$ mixing dynamics in $\psi (4220)$ and $\psi (4380)$
• Strangeonium spectrum with the screening effects and interpretation of $h_1(1911)$ and $X(2300)$ observed by BESIII
• 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
• Medium modifications of $1P$-wave charmonia ${\chi }_{cJ}(1P)$ in cold nuclear matter
• Unified coupled-channel description for the five near-threshold structures $\psi (3770)$, $G(3900)$, $R(3760)$, $R(3780)$ and $R(3810)$ from $e^{+}{e}^{-}$ annihilation
• Systematic analysis of the D-wave charmonium states with the QCD sum rules
• Spectroscopy and Decay Properties of Excited Charmonium States
• Hidden-bottom hadronic decays of ${\rm Y}(10753)$ with a ${\eta }^{(\prime )}$ or $\omega$ emission
• Exotic hadrons associated with $b$-quark
• Proposed mixing between $2P$ and $1F$ wave charmonia