Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium $\psi_3(3842)$

TL;DR

This paper investigates the non-$Dar{D}$ decay channels of the $ ext{D}$-wave charmonium state $ ext{psi}_3(3842)$ into light meson pairs using hadronic loop mechanisms, predicting significant decay rates especially for the $ ho ext{pi}$ channel.

Contribution

It provides the first detailed theoretical analysis of non-$Dar{D}$ decays of $ ext{psi}_3(3842)$ into light mesons, highlighting the importance of hadronic loops in these processes.

Findings

Non-$Dar{D}$ decays of $ ext{psi}_3(3842)$ can be substantial.

The $ ho ext{pi}$ channel is the dominant non-$Dar{D}$ decay mode.

Decays involving strange mesons are also sizable.

Abstract

As a $D$-wave partner of $\psi(3770)$ identified by the LHCb Collaboration, $\psi_3(3842)$ lies between the $D\bar{D}$ and $D\bar{D^*}$ thresholds. Its non-$D\bar{D}$ decay channels have attracted considerable interest. In this study, we investigate these allowed non-$D\bar{D}$ 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-$D\bar{D}$ 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-$D\bar{D}$ decay mode, while non-$D\bar{D}$ decay channels involving strange mesons are also sizable. These predictions could be tested in future experiments such as those at LHCb and BESIII.