Theoretical study of the $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ reaction

Abstract

Prompted by the recent discoveries of $T_{c\bar{s}0}(2900{)}^{++}$ in the $D_s^{+}{\pi }^{+}$ invariant mass distribution of $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ process, we present a model that hopes to help us investigate the nature of $T_{c\bar{s}0}(2900{)}^{++}$ by reproducing the mass distribution of $D^{-}{\pi }^{+},D_s^{+}{\pi }^{+}$ and $D^{-}{D}_s^{+}$ in $B^{+}\to D^{-}{D}_s^{+}{\pi }^{+}$ decays. The structure of the triangular singularity peak generated from the ${\chi }_{c1}{D}^{\ast +}{K}^{\ast +}$ loop near the $D^{\ast +}{K}^{\ast +}$ threshold is considered in our model may be the experimentally discovered resonance-like state structure $T_{c\bar{s}0}(2900{)}^{++}$. In addition, we employ a coupled-channel approach to describe the dominant contribution of the $D\pi$ $S\text{-wave}$ amplitude, and also consider other excitations. Our model provides a well fit to the invariant mass distributions of $D^{-}{\pi }^{+},D_s^{+}{\pi }^{+}$ and $D^{-}{D}_s^{+}$ simultaneously.

Comments: 8 pages, 7 figures