Prediction of a missing higher charmonium around 4.26 GeV in $J/\psi$ family

Abstract

Inspired by the similarity of mass gaps of $J/\psi$ and ${\rm Y}$ families, the prediction of missing higher charmonium with mass $4263$ MeV and very narrow width is made. In addition, the properties of two charmonium-like states, $X(3940)$ and $X(4160)$, and charmonium $\psi (4415)$ are discussed. Here, $X(3940)$ as ${\eta }_c(3S)$ is established while the explanation of $X(4160)$ to be ${\eta }_c(4S)$ is fully excluded and ${\eta }_c(4S)$ is typically a very narrow state. These predictions can be accessible at BESIII, Belle and BelleII in near future.

5 pages, 5 figures and 1 table. More discussions added. Accepted by Eur. Phys. J. C

References in corpus (5)

• Big-Bang Nucleosynthesis
• Higher Charmonia and X,Y,Z states with Screened Potential
• Measurement of the near-threshold $e^{+}{e}^{-}\to D\bar{D}$ cross section using initial-state radiation
• B_{s1}(5830) and B_{s2}^*(5840)
• Nonresonant explanation for the Y(4260) structure observed in the $e^{+}{e}^{-}\to J/\psi {\pi }^{+}{\pi }^{-}$ process

Cited by in corpus (23)

• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Assignments of ${\Lambda }_Q$ and ${\Xi }_Q$ baryons in the heavy quark-light diquark picture
• Constructing $J/\psi$ family with updated data of charmoniumlike $Y$ states
• 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 $2^{++}$
• Observation of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ and missing higher charmonium $\psi (4S)$
• Are the $Y$ states around 4.6 GeV from $e^{+}{e}^{-}$ annihilation higher charmonia?
• Universal behavior of mass gaps existing in the single heavy baryon family
• Cross section line shape of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ around the $Y(4260)$ mass region
• Confirming the existence of a new higher charmonium $\psi (4500)$ by the newly released data of $e^{+}{e}^{-}\to K^{+}{K}^{-}J/\psi$
• Where are ${\chi }_{cJ}(3P)$?
• The Strong Decays of X(3940) and X(4160)
• Predicted $\Lambda \bar{\Lambda }$ and ${\Xi }^{-}{\bar{\Xi }}^{+}$ decay modes of the charmoniumlike $Y(4230)$
• Charmonium states in a coupled-channel model
• Radially Excited States of ${\eta }_c$
• 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
• Charged charmoniumlike structures in the $e^{+}{e}^{-}\to \psi (3686){\pi }^{+}{\pi }^{-}$ process based on the ISPE mechanism
• Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p}\to Y(4220){\pi }^0$ reaction
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Reevaluating the $\psi (4160)$ Resonance Parameter Using $B^{+}\to K^{+}{\mu }^{+}{\mu }^{-}$ Data in the Context of Unquenched Charmonium Spectroscopy
• Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes
• Coupled-channel study of $4S$-$3D$ mixing dynamics in $\psi (4220)$ and $\psi (4380)$
• $X(3860)$ production in association with $J/\psi$ via $e^{+}{e}^{-}$ annihilation at Belle