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

TL;DR

This paper investigates the decay processes involving the $D^*_{s0}(2317)$ resonance, supporting its interpretation as a molecular state of $KD$ and $D_s \,eta$, and compares theoretical predictions with experimental data.

Contribution

It provides a novel analysis of $B$ meson decays that supports the molecular structure of $D^*_{s0}(2317)$ based on decay dynamics and experimental branching ratios.

Findings

Branching ratios align with experimental data within errors.

Molecular components significantly contribute to the $D^*_{s0}(2317)$ structure.

Other nonmolecular contributions are possible but less dominant.

Abstract

We have conducted a study of the $B^{+(0)} \to \bar D^{0(-)} D^{*}_{s0}(2317)^+$ reactions from the perspective that the $D^*_{s0}(2317)$ resonance is a molecular state of the $KD$ 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 $D^*_{s0}(2317)$ resonance. We find branching ratios for the $B^{+(0)} \to \bar D^{0(-)} D^{*}_{s0}(2317)^+$ reactions, which are compatible with the experimental data, but considering errors there is room for contributions of other nonmolecular components, although a sizeable fraction from the molecular components is a solid conclusion.