Update on strong and radiative decays of the $D_{s0}^{*}(2317)$ and $D_{s1}(2460)$ and their bottom cousins

TL;DR

This paper revises the decay widths and masses of charm-strange and bottom-strange mesons as hadronic molecules, correcting previous inconsistencies with heavy quark symmetry and including comprehensive isospin breaking effects.

Contribution

It introduces a method to restore heavy quark flavor symmetry and updates decay width calculations for these mesons with more complete isospin breaking contributions.

Findings

Updated decay widths for $D^{*}_{s0}$, $D_{s1}$, $B^{*}_{s0}$, and $B_{s1}$.

Corrected masses of bottom-strange mesons to align with heavy quark symmetry.

Identified promising channels for experimental searches of bottom-strange mesons.

Abstract

The isospin breaking and radiative decay widths of the positive-parity charm-strange mesons, $D^{*}_{s0}$ and $D_{s1}$, and their predicted bottom-strange counterparts, $B^{*}_{s0}$ and $B_{s1}$, as hadronic molecules are revisited. This is necessary, since the $B^{*}_{s0}$ and $B_{s1}$ masses used in Eur. Phys. J. A 50 (2014) 149 were too small, in conflict with the heavy quark flavour symmetry. Furthermore, not all isospin breaking contributions were considered. We here present a method to restore heavy quark flavour symmetry, correcting the masses of $B^{*}_{s0}$ and $B_{s1}$, and include the complete isospin breaking contributions up to next-to-leading order. With this we provide updated hadronic decay widths for all of $D^{*}_{s0}$, $D_{s1}$, $B^{*}_{s0}$ and $B_{s1}$. Results for the partial widths of the radiative deays of $D_{s0}^*(2317)$ and $D_{s1}(2460)$ are also renewed in light of the much more precisely measured $D^{*+}$ width. We find that $B_s\pi^0$ and $B_s\gamma$ are the preferred channels for searching for $B_{s0}^*$ and $B_{s1}$, respectively.