Relativistic effects in $\mbox{M1}$ radiative decays of heavy-light mesons

TL;DR

This paper presents a relativistic potential model to accurately predict the widths of M1 radiative decays in heavy-light mesons, emphasizing the importance of relativistic effects for certain transitions.

Contribution

It introduces a relativistic potential model that incorporates Breit Hamiltonian terms to improve predictions of meson radiative decay widths, aligning with experimental data.

Findings

Relativistic effects significantly impact decay width predictions.

Model predictions agree with experimental measurements.

Relativistic corrections are crucial for specific meson transitions.

Abstract

We discuss the $\mbox{M1}$ radiative transitions $D^*\rightarrow D\gamma$, $D_{s}^*\rightarrow D_s\gamma$, $B^*\rightarrow B\gamma$, and $B^*_{s}\rightarrow B_s\gamma$. A relativistic potential model is proposed. The corresponding Hamiltonian, when expanded to terms of the order of $v^2/c^2$, where $v$ are the quark velocities, coincides with the Breit Hamiltonian. This model allows making predictions for the widths of radiative transitions of mesons with one light quark. Taking into account relativistic effects is especially important for the transitions $D_{s}^{*+}\rightarrow D_s^+\gamma$ and $D^{*+}\rightarrow D^+\gamma$, where there is a large compensation in the magnitude of the magnetic moment of these mesons. Our results are consistent with known experimental data.