Two-body Hidden Charm Decays of $D$ Wave Charmonia

TL;DR

This paper investigates the hidden charm decay processes of D-wave charmonia using a meson loop mechanism, providing predictions for decay widths and ratios that can be tested in future experiments.

Contribution

It introduces a model to estimate decay widths of D-wave charmonia, determining parameters from known decays and predicting new decay ratios for experimental verification.

Findings

Partial width of $ ext{ψ}_2(3823) o J/ ext{ψ} ext{η}$ is approximately 30 keV.

The ratio of $ ext{ψ}_2(3823) o J/ ext{ψ} ext{η}$ to $ ext{ψ}_2(3823) o ext{γ} ext{χ}_{c1}$ is about 10%.

Predictions can be tested by BESIII, Belle II, and LHCb collaborations.

Abstract

The experimental observations of $\psi_2(3823)$ and $\psi_3(3842)$ make $D$ wave charmonia family abundant. In the present work, we investigate the hidden charm decay processes of spin triplets of the $D$-wave charmonia with the meson loop mechanism. The model parameter $\alpha_\Lambda$ is determined by reproducing the branching fraction of $\psi(3770)\to J/\psi \eta$. With this range of model parameter values, the branching fractions (partial widths) of $\psi(3770) \to \eta_c \omega$, $\psi_2(3823)/\psi_3(3842) \to J/\psi \eta$, $\psi_2(3823)/\psi_3(3842) \to \eta_c \omega$ are estimated. Our estimations find that the partial width of $\psi_2(3823) \to J/\psi \eta$ is $\left(29.64^{+4.01}_{-4.63}\right)\ \mathrm{keV}$, and the partial width ratio of $\psi_2(3823) \to J/\psi \eta$ relative to $\psi_2(3823)\to \gamma \chi_{c1}$ is about $10\%$, which could be tested by further precise measurements from the BESIII, Belle II and LHCb Collaborations.