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

Abstract

The isospin breaking and radiative decay widths of the positive-parity charm-strange mesons, $D_{s0}^{\ast }$ and $D_{s1}$, and their predicted bottom-strange counterparts, $B_{s0}^{\ast }$ and $B_{s1}$, as hadronic molecules are revisited. This is necessary, since the $B_{s0}^{\ast }$ 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 $B_{s0}^{\ast }$ 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 $D_{s0}^{\ast }$, $D_{s1}$, $B_{s0}^{\ast }$ and $B_{s1}$. Results for the partial widths of the radiative deays of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ are also renewed in light of the much more precisely measured $D^{\ast +}$ width. We find that $B_s{\pi }^0$ and $B_s\gamma$ are the preferred channels for searching for $B_{s0}^{\ast }$ and $B_{s1}$, respectively.

Comments: 5 pages, 2 figures