Eur. Phys. J. C (2025) 85: 649
https://doi.org/10.1140/epjc/s10052-025-14376-7

Regular Article - Theoretical Physics

Non-$D\overline{D}$ decays into light meson pairs of the D-wave charmonium ${\psi }_3(3842)$

¹ School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China
² Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, 730000, Lanzhou, China
³ Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, 730000, Lanzhou, China
⁴ Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, 730000, Lanzhou, China
⁵ MoE Frontiers Science Center for Rare Isotopes, Lanzhou University, 730000, Lanzhou, China
⁶ Center for Quantum Physics and Technologies, School of Physical Science and Technology, Inner Mongolia University, 010021, Hohhot, China

^a xiangliu@lzu.edu.cn

Received: 15 April 2025
Accepted: 23 May 2025
Published online: 12 June 2025

Abstract

As a D-wave partner of $\psi (3770)$ identified by the LHCb Collaboration, ${\psi }_3(3842)$ lies between the $D\overline{D}$ and $D\overline{D^{\ast }}$ thresholds. Its non-$D\overline{D}$ decay channels have attracted considerable interest. In this study, we investigate these allowed non-$D\overline{D}$ decays of ${\psi }_3(3842)$ into PP, PV, and VV final states using the hadronic loop mechanism, where P and V represent light pseudoscalar and vector mesons, respectively. Our results suggest that these non-$D\overline{D}$ decays of ${\psi }_3(3842)$ can be significant, with contributions primarily driven by hadronic loops. Notably, the $\rho \pi$ channel stands out as the main non-$D\overline{D}$ decay mode, while non-$D\overline{D}$ decay channels involving strange mesons are also sizable. These predictions could be tested in future experiments such as those at LHCb and BESIII.