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 (12)

• 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?
• Cross section line shape of $e^{+}{e}^{-}\to {\chi }_{c0}\omega$ around the $Y(4260)$ mass region
• Where are ${\chi }_{cJ}(3P)$?
• The Strong Decays of X(3940) and X(4160)
• Radially Excited States of ${\eta }_c$
• 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