Production of $D^*_{s0}(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(*)}K$ and $D^{(*)}_s\eta$ molecules

TL;DR

This paper investigates the production mechanisms of $D_{s0}^*(2317)$ and $D_{s1}(2460)$ in B meson decays, modeling them as molecular states formed through final-state interactions, and compares theoretical predictions with experimental data.

Contribution

It introduces a triangle diagram approach to describe the weak decays of B mesons into these states as dynamically generated molecules, providing new insights into their structure and production.

Findings

Branching ratios for $B o ar{D}^{(*)} D_{s0}^*(2317)$ agree with experiments.

Predicted branching ratios for $B o ar{D}^{(*)} D_{s1}(2460)$ are smaller than experimental values.

Discrepancies suggest possible missing reaction mechanisms or a larger $c\bar{s}$ component in $D_{s1}(2460)$.

Abstract

The molecular nature of $D_{s0}^{\ast}(2317)$ and $D_{s1}(2460)$ have been extensively studied from the perspective of their masses, decay properties, and production rates. In this work, we study the weak decays of $B \to \bar{D}^{(\ast)}D_{s0}^{*}(2317)$ and $B \to \bar{D}^{(\ast)}D_{s1}(2460)$ by invoking triangle diagrams where the $B$ meson first decays weakly into $\bar{D}^{(\ast)}D_{s}^{(\ast)}$ and $J/\psi K$($\eta_{c}K$), and then the $D_{s0}^{\ast}(2317)$ and $D_{s1}(2460)$ are dynamically generated by the final-state interactions of $D_{s}^{(\ast)}\eta$ and $D^{(\ast)}K$ via exchanges of $\eta$ and $D^{(\ast)}$ mesons. The obtained absolute branching fractions of Br$[B \to \bar{D}^{(\ast)}D_{s0}^{*}(2317)]$ are in reasonable agreement with the experimental data, while the branching fractions of Br$[B \to \bar{D}^{(\ast)}D_{s1}(2460)]$ are smaller than the experimental central values by almost a factor of two to three. We tentatively attribute such a discrepancy to either reaction mechanisms missing in the present work or the likely existence of a relatively larger $c\bar{s}$ component in the $D_{s1}(2460)$ wave function.