Heavy Quark Spin Symmetry Violating Hadronic Transitions of Higher Charmonia

TL;DR

This paper predicts how heavy quark spin symmetry violations affect hadronic transitions in higher charmonia, aiding the understanding of exotic states and proposing spectroscopic assignments based on a novel NJL-inspired model.

Contribution

It introduces a new model inspired by the NJL framework to predict HQSS breaking transitions and assigns quantum numbers to charmonium-like states, including the Y(4360).

Findings

Y(4360) likely a 3D dominant state

Model predicts HQSS violating transition patterns

Spectroscopic quantum numbers assigned to several states

Abstract

In heavy quarkonia, hadronic transitions serve as an enlightened probe for the structure and help to establish the understanding of light quark coupling with a heavy degree of freedom. Moreover, in recent years, hadronic transitions revealed remarkable discoveries to identify the new conventional heavy quarkonia and extracting useful information about the so called "XYZ" exotic states. In this contribution, we present our predictions for heavy quark spin symmetry (HQSS) breaking hadronic transitions of higher $S$ and $D$ wave vector charmonia based on our recently proposed model (inspired by Nambu-Jona-Lasinio (NJL) model) to create light meson(s) in heavy quarkonium transitions. We also suggest spectroscopic quantum numbers $(^{2S+1}L_J)$ for several observed charmoniumlike states. Our analysis indicates that the $Y(4360)$ is most likely to be a $3D$ dominant state.