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

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 $\left(29.64_{-4.63}^{+4.01}\right)\mathrm{keV}$, 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.

Comments: 12 pages, 9 figures. Accepted for publication in The European Physical Journal C