${\bar{B}}_s^0\to D_{s1}(2460{)}^{+}{K}^{-},D_{s1}(2536{)}^{+}{K}^{-}$ and the nature of the two $D_{s1}$ resonance

Abstract

Starting from the molecular picture for the $D_{s1}(2460)$ and $D_{s1}(2536)$ resonances, which are dynamically generated by the interaction of coupled channels, the most important of which are the $D^{\ast }K$ for the $D_{s1}(2460)$ and $D{K}^{\ast }$ for the $D_{s1}(2536)$, we evaluate the ratio of decay widths for the ${\bar{B}}_s^0\to D_{s1}(2460{)}^{+}{K}^{-}$ and ${\bar{B}}_s^0\to D_{s1}(2536{)}^{+}{K}^{-}$ decays, the latter of which has been recently investigated by the LHCb collaboration, and we obtain a ratio of the order of unity. The present results should provide an incentive for the related decay into the $D_{s1}(2460)$ resonance to be performed, which would provide valuable information on the nature of these two resonances.

Comments: 14 pages, 4 figures, 2 tables; V2: discussions added, references added, version to appear in Eur.Phys.J.C