The radiative decays of $0^{++}$ and $1^{+-}$ heavy mesons

TL;DR

This paper derives formulas for radiative decays of heavy mesons using the light front quark model, enabling better understanding of meson structures and testing QCD effects in electromagnetic processes.

Contribution

The work provides a new theoretical framework for calculating radiative decay widths of heavy mesons within the light front quark model, addressing non-perturbative QCD effects.

Findings

Calculated decay width for $ ext{chi}_{b0} o ext{Upsilon}(1S)\gamma$

Tested the approach against the well-measured $ ext{chi}_{c0} o J/ ext{psi}\gamma$ decay

Formulas applicable to identify structures of new resonances like $D_s(2317)$

Abstract

The radiative decay is believed to be an ideal lab to study hadronic structure of newly observed resonances because the reactions are governed by only the electromagnetic interaction (tree level). However, to obtain correct theoretical values, one has to properly deal with the non-perturbative QCD effects in the wavefunction and hadronization. In this work we derive the formulas for the radiative decays of $0^{++}$ and $1^{-+}$ heavy mesons in the light front quark model (LFQM). Because $\mathcal{B}(\chi_{c0}\rightarrow J/\psi\gamma)$ is well measured, the theoretical evaluation of the transition rate can be used to test our approach. Within this theoretical framework, the width of $\chi_{b0}\rightarrow \Upsilon(1S)\gamma$ is evaluated. The formulas can be applied to identify the inner structures of new resonances, for example the isospin of $h_{c(b)}$ and the structure of $D_s(2317)$, via processes $h_c\rightarrow \eta_c\gamma$, $h_b\rightarrow \eta_b\gamma$ and $D_s(2317)\rightarrow D_s^*+\gamma$.