Modeling Charmonium-$\eta$ Decays of $J^{PC}=1^{--}$ Higher Charmonia

Abstract

We propose a new model to create a light meson in the heavy quarkonium transition, which is inspired by the Nambu$-$Jona-Lasinio (NJL) model. Hadronic transitions of $J^{PC}=1^{--}$ higher charmonia with the emission of an $\eta$ meson are studied in the framework of the proposed model. The model shows its potential to reproduce the observed decay widths and make predictions for the unobserved channels. We present our predictions for the decay width of $\Psi \to J/\psi \eta$ and $\Psi \to h_c(1P)\eta$, where $\Psi$ are higher $S$ and $D$ wave vector charmonia, which provide useful references to search for higher charmonia and determine their properties in forthcoming experiments. The predicted branching fraction $\mathcal{B}(\psi (4415)\to h_c(1P)\eta )=4.62\times 10^{-4}$ is one order of magnitude smaller than the $J/\psi \eta$ channel. Estimates of partial decay width $\Gamma (Y\to J/\psi \eta )$ are given for $Y(4360)$, $Y(4390)$ and $Y(4660)$ by assuming them as $c\bar{c}$ bound states with quantum numbers $3^3{D}_1$, $3^3{D}_1$ and $5^3{S}_1$, respectively. Our results are in favor of these assignments for $Y(4360)$ and $Y(4660)$. The corresponding experimental data for these $Y$ states has large statistical errors which do not provide any constraint on the mixing angle if we introduce $S-D$ mixing. To identify $Y(4390)$, precise measurements on its hadronic branching fraction are required which are eagerly awaited from BESIII.

version published in Phys. Rev. D

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Cited by in corpus (16)

• The baryo-quarkonium picture for hidden-charm and bottom pentaquarks and LHCb $P_{\mathrm{c}}(4380)$ and $P_{\mathrm{c}}(4450)$ states
• Observation of the $Y(4220)$ and $Y(4360)$ in the process $e^{+}{e}^{-}\to \eta J/\psi$
• Interpretation of $Y(4390)$ as an isoscalar partner of $Z(4430)$ from $D^{\ast }(2010){\bar{D}}_1(2420)$ interaction
• Quark structure of the ${\chi }_{\mathrm{c}}(3P)$ and $X(4274)$ resonances and their strong and radiative decays
• Charmonium states in a coupled-channel model
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• Measurement of $e^{+}{e}^{-}\to \eta J/\psi$ Cross Section from $\sqrt{s}=$ 3.808 GeV to 4.951 GeV
• A new decay mode of higher charmonium
• Can the $\psi (4040)$ explain the peak associated with $Y(4008)$?
• Heavy quark spin partners of the $Y(4260)$ in coupled-channel formalism
• $B_u$ $\to$ $\psi M$ decays and $S$-$D$ wave mixing effects
• Study of $B_c\to \psi (2S)K$, ${\eta }_c(2S)K$, $\psi (3770)K$ decays with perturbative QCD approach
• Is the $3S$-$2D$ mixing strong for the charmonia $\psi (4040)$ and $\psi (4160)$?
• Study of conventional and non-conventional scalar and vector mesons
• Measurements of charmonia decays from BESIII
• Heavy Quark Spin Symmetry Violating Hadronic Transitions of Higher Charmonia