$D$ wave charmonia

TL;DR

This paper investigates the properties and decay behaviors of D wave charmonium states, especially Y(4320), using theoretical models to predict their widths and guide future experimental searches.

Contribution

It provides a detailed analysis of D wave charmonium states, including the Y(4320), and predicts their decay widths to aid experimental identification.

Findings

Y(4320) width can be explained within the quark-pair creation model.

Predicted decay widths for various D wave charmonia.

Guidance for future experimental verification at LHCb and Belle II.

Abstract

Inspired by the recent observations of the vector charmonium-like states at BES III Collaboration and $\psi(3842)$ at LHCb Collaboration, we comb the $D$ wave charmonium state in the present work. We first evaluate the possibility of $Y(4320)$ as $\psi(3^3D_1)$ by investigating its open charm decays in quark-pair creation model and we find the width of $Y(4320)$ can be reproduced in a reasonable parameter range. Moreover, we take $\psi(3770)$, $\psi(4160)$ and $Y(4320)$ as the scale of $1D$, $2D$ and $3D$ charmonia to estimate the open charm decays of other $D$ wave charmonia. The total and partial widths of $D$ wave charmonium states have been predicted, which could be tested by further measurements at LHCb and Belle II Collaborations.