# Revisiting radiative decays of $1^{+-}$ heavy quarkonia in the covariant light-front approach

The European Physical Journal C, Apr 2017

We revisit the calculation of the width for the radiative decay of a $1^{+-}$ heavy $Q \bar{Q}$ meson via the channel $1^{+-} \rightarrow 0^{-+} +\gamma$ in the covariant light-front quark model. We carry out the reduction of the light-front amplitude in the non-relativistic limit, explicitly computing the leading and next-to-leading order relativistic corrections. This shows the consistency of the light-front approach with the non-relativistic formula for this electric dipole transition. Furthermore, the theoretical uncertainty in the predicted width is studied as a function of the inputs for the heavy-quark mass and wave function structure parameter. We analyze the specific decays $h_{\mathrm{c}}(1P) \rightarrow \eta _{\mathrm{c}}(1S) + \gamma$ and $h_{\mathrm{b}}(1P) \rightarrow \eta _{\mathrm{b}}(1S) + \gamma$. We compare our results with experimental data and with other theoretical predictions from calculations based on non-relativistic models and their extensions to include relativistic effects, finding reasonable agreement.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-017-4818-5.pdf

Yan-Liang Shi. Revisiting radiative decays of $1^{+-}$ heavy quarkonia in the covariant light-front approach, The European Physical Journal C, 2017, 253, DOI: 10.1140/epjc/s10052-017-4818-5