Radiative decays of $1^{++}$ heavy mesons in the covariant light-front approach

TL;DR

This paper predicts the radiative decay widths of $1^{++}$ heavy mesons using the covariant light-front model, comparing results with experimental data and other theoretical approaches to understand relativistic effects.

Contribution

It introduces a covariant light-front approach to calculate radiative decay widths of $1^{++}$ heavy mesons, providing a relativistic framework for these processes.

Findings

Decay widths for $ ext{chi}_{c1}(1P) o J/ ext{psi} + extgamma$ calculated.

Decay widths for $ ext{chi}_{b1}(nP) o ext{Upsilon}(n'S) + extgamma$ computed.

Results show consistency with experimental data and extend nonrelativistic models.

Abstract

We calculate the predicted width for the radiative decay of a $1^{++}$ heavy meson via the channel $1^{++} \to 1^{--} +\gamma$ in the covariant light-front quark model. Specifically, we compute the decay widths for $\chi_{c1}(1P) \to J/\psi + \gamma$ and $\chi_{b1}(nP) \to \Upsilon(n'S) + \gamma$. The results are compared with experimental data and with predictions from calculations based on nonrelativistic models and their extensions to include relativistic effects.