Phenomenology of $D_{s1}$ mesons radiative transitions

TL;DR

This paper analyzes the radiative transitions of $D_{s1}$ mesons, explaining their decay widths based on spin-orbit interactions, and predicts similar widths for related $B_{s1}$ and $B_{c1}$ mesons.

Contribution

It provides a phenomenological explanation for the differences in radiative decay widths of $D_{s1}$ mesons and predicts widths for $B_{s1}$ and $B_{c1}$ mesons.

Findings

The partial width for $D_{s1}(2460) o D_s o ext{gamma}$ is significantly larger than for $D_{s1}(2536)$.

The superposition of states with different total spins explains decay width differences.

Predicted partial widths for $B_{s1}$ and $B_{c1}$ mesons.

Abstract

We discuss radiative transitions $D_{s1}\rightarrow D_s\gamma$ and $D_{s1}\rightarrow D_s^*\gamma$ of $p$-wave mesons. Since $D_{s1}$ mesons have no a certain $C$-parity, and the masses of quarks in these mesons differ significantly, then due to the spin-orbit interaction each of $p$-wave mesons with the total angular momentum $J=1$ is a superposition of states with the total spin of quarks $S_{tot}=0$ and $S_{tot}=1$. We explain why the partial width of $D_{s1}(2460)\to D_s\gamma$ radiative transition is significantly larger than the corresponding value for $D_{s1}(2536)\to D_s\gamma$. We also predict the corresponding partial widths of $B_{s1}$ and $B_{c1}$.