# Towards Radiative Transitions in Charmonium

## TL;DR

This paper reports preliminary lattice QCD calculations of radiative transitions in charmonium, utilizing advanced techniques and dynamical ensembles to explore higher spectrum states and potential exotic configurations.

## Contribution

It introduces the use of variationally optimized interpolating operators for more reliable three-point correlation function calculations in charmonium radiative transitions.

## Key findings

- First calculations of three-point correlation functions for charmonium transitions
- Use of anisotropic dynamical ensembles for improved spectral analysis
- Foundation for future studies of exotic charmonium states

## Abstract

We present preliminary calculations towards radiative transitions in charmonium using anisotropic $N_f = 2 + 1$ dynamical ensembles generated by the Hadron Spectrum Collaboration. With the use of newer technologies we aim to investigate transitions between states, including potential exotic charmonium states, lying higher in the spectrum than in previous studies. A crucial ingredient in this work is the use of variationally optimised interpolating operators which allow for a reliable determination of the three-point correlation functions needed. Using these operators, we perform first calculations of relevant three-point correlation functions before discussing future directions.