The light meson decays of $D$ wave charmonia

TL;DR

This paper investigates light meson decays of D-wave charmonia, using meson loop mechanisms, to explain non-D Dbar branching fractions and predict dominant decay channels for states like psi(3770), psi(3823), and psi(3842).

Contribution

It provides theoretical estimations of light meson decay branching fractions of D-wave charmonia, aligning with existing data and predicting dominant decay modes for specific states.

Findings

Branching fractions of psi(3770) are consistent with literature.

K* K* channel dominates psi(3823) decays with ~200 keV width.

K* K* and rho pi are main decay modes of psi(3842).

Abstract

Motivated by the large non-$D\bar{D}$ branching fraction of $\psi(3770)$, we investigate the light meson decays of the $D$-wave charmonia in the present work with the meson loop mechanism. With the parameter range determined by $\psi (3770) \to \phi \eta$, our estimations of the branching fractions of the light meson decays of $\psi(3770)$ are consistent with the estimations in the literature. As for $\psi(3823)$, the partial widths of $K^\ast \bar{K}^\ast$ channel is estimated to be around 200 keV, which is the the predominant light meson decay channel of $\psi(3823)$. Our estimations also indicate that $K^{(\ast)}\bar{K}^{(\ast)}$ and $\rho \pi$ are the dominant light meson decay modes of $\psi(3842)$, while $\eta_{c2}$ dominantly decays into $\rho\rho$, $K^\ast \bar{K}^\ast$, $\omega \omega$ and $\phi\phi$.