Relativistic two-body calculation of $b\bar{b}$-mesons radiative decays

TL;DR

This paper extends a covariant two-fermion scheme to calculate radiative decay rates of bottomonium mesons, achieving good agreement with experimental data and providing new theoretical predictions for unmeasured decays.

Contribution

It introduces a relativistic two-body calculation method for meson radiative decays, expanding previous mass calculations to include decay widths and branching ratios.

Findings

Good agreement with experimental decay data

Provides theoretical predictions for unmeasured decays

Validates the covariant scheme for radiative processes

Abstract

This paper is a prosecution of a previous work where we presented a unified two-fermion covariant scheme which produced very precise results for the masses of light and heavy mesons. We extend the analysis to some radiative decays of mesons $\Upsilon,\,\chi_{b2}\,,h_b\,,\chi_{b1}\,,\chi_{b0}\,,\eta_b\,$ and we calculate their branching ratios and their widths. For most of them we can make a comparison with experimental data finding a good agreement.For the decays for which data are not available we compare ours with other recent theoretical previsions.