The decays of the fully open flavor state $T_{c\bar{s}0}^{0}$ in a $D^{*}K^{*}$ molecule scenario

TL;DR

This paper investigates the decay properties of the $T_{c\bar{s}0}^{0}$ state as a $D^{*}K^{*}$ molecule, estimating decay widths and proposing experimental searches based on recent LHCb observations.

Contribution

It provides a theoretical analysis of the decay modes and widths of $T_{c\bar{s}0}^{0}$ in a molecular scenario, suggesting observable decay channels and experimental search strategies.

Findings

The decay width for $T_{c\bar{s}0}^{0} \to D_s^+ \pi^-$ is sizable.

The dominant decay mode of $T_{c\bar{s}0}^{0}$ is $D^0K^0$.

Proposes searching for $T_{c\bar{s}0}(2900)^{++}$ in $D^+ K^+$ invariant mass distributions.

Abstract

Inspired by the recent observations of $T_{c\bar{s}0}^{0/++}$ in the the processes $B^0\to\bar{D}^0 D_s^+ \pi^-$ and $B^+\to D^- D_s^+ \pi^+$ by LHCb Collaboration, we investigate the decay properties of the $T_{c\bar{s}0}^{0}$ in a $D^{*}K^{*}$ molecule scenario, and the widths of $T_{c\bar{s}0}^{0}\to D^{0}K^{0}$, $D_{s}^{+}\pi^{-}$, $D_{s}^{*+}\rho^{-}$, $D_{s1}^{(\prime)+}\pi^{-}$, and $D^{*0}(D\pi)^{0}$ are estimated. Our estimations indicate that the width of $T_{c\bar{s}0}^{0} \to D_s^+ \pi^-$ is sizable to be observed and the dominant decay mode of $T_{c\bar{s}0}^{0}$ is $D^0K^0$. Considering the isospin symmetry, we proposed to search $T_{c\bar{s}0}(2900)^{++}$ in the $D^+ K^+$ invariant mass distributions of the process $B^+ \to D^+ D^- K^+$, where some preliminary experimental hints have been observed by LHCb Collaboration.