Eur. Phys. J. C (2025) 85: 96
https://doi.org/10.1140/epjc/s10052-025-13808-8

Regular Article - Theoretical Physics

Two-body hidden charm decays of D wave charmonia

¹ School of Physics, Southeast University, 210094, Nanjing, China
² Institute of Particle and Nuclear Physics, Henan Normal University, 453007, Xinxiang, China
³ College of Physics and New Energy, Xuzhou University of Technology, 221111, Xuzhou, China
⁴ Lanzhou Center for Theoretical Physics, Lanzhou University, 730000, Lanzhou, China

^a chendy@seu.edu.cn

Received: 28 November 2024
Accepted: 9 January 2025
Published online: 28 January 2025

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 ${\alpha }_{\mathrm{\Lambda }}$ 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 $(29.{64}_{-4.63}^{+4.01})\text{keV}$, 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.