The $B^{+(0)}\to {\bar{D}}^{0(-)}{D}_{s0}^{\ast }(2317{)}^{+}$ decays and the molecular structure of $D_{s0}^{\ast }(2317)$

Abstract

We have conducted a study of the $B^{+(0)}\to {\bar{D}}^{0(-)}{D}_{s0}^{\ast }(2317{)}^{+}$ reactions from the perspective that the $D_{s0}^{\ast }(2317)$ resonance is a molecular state of the $DK$ and $D_s\eta$ components. We have followed a method to evaluate the branching fractions obtaining information from the experimental data on the $B^{+}\to {\bar{D}}^0{K}^{+}{D}^0$, $B^{+}\to {\bar{D}}^0{K}^0{D}^{+}$, $B^0\to D^{-}{K}^{+}{D}^0$, $B^0\to D^{-}{K}^0{D}^{+}$ reactions, which have the $D^0{K}^{+}$ and $D^{+}{K}^0$ pairs in the final state. The approach concentrates the dynamics of the weak process in the branching ratios of these reactions and pays attention to the propagation of the $DK$ components and their strong interaction to form the $D_{s0}^{\ast }(2317)$ resonance. By means of two free parameters, we are able to describe these six rates, showing consistency with the molecular picture of the $D_{s0}^{\ast }(2317)$ state.

Comments: 7 pages, 4 figures; v2: discussions added, references added, version published in Eur. Phys. J. A