$X_0(2900)$ and its spin partners production in the $B^+$ decay process

TL;DR

This paper models the production of the $X_0(2900)$ and its spin partners in $B^+$ decays, suggesting $X_0(2900)$ as a $ar{D}^ ext{*}K^ ext{*}$ molecular state, and predicts measurable production rates for experimental verification.

Contribution

It proposes a molecular state interpretation for $X_0(2900)$ and calculates its production in $B^+$ decays, aligning theoretical predictions with experimental data.

Findings

The measured branching fraction of $B^+ o D^+ X_0(2900)$ can be reproduced by the model.

The production of $ ilde{X}_1$ in $B^+ o D^{ ext{*}+} D^{ ext{*}-} K^+$ is about 6%.

$X_0(2900)$ is consistent with a $ar{D}^ ext{*}K^ ext{*}$ molecular state.

Abstract

In the present work, we investigate $X_0(2900)$ and its spin partners productions in the $B^+$ decay processes, where $X_0(2900)$ is regarded as a $\bar{D}^\ast K^\ast$ molecular state. We infer that the initial $B^+$ meson and the final $D^+ X_0(2900)$ are connected through $D_{s1}^+(2460) \bar{D}^{\ast 0} $ mesons by exchanging a $K^{\ast 0}$ meson. The contributions from such a meson loop to the process $B^+ \to D^+ X_0(2900)$ are evaluated and our estimations indicate that the measured branching fraction of $B^+\to D^+ X_0(2900)$ could be well reproduced in a reasonable model parameter range, which indicates that $X_0(2900)$ could be interpreted as a $\bar{D}^\ast K^\ast $ molecular state. In addition, the production processes $B^+ \to D^+ \tilde{X}_{1,2}$, $B^+ \to D^{\ast +} X_0(2900)$, and $B^+ \to D^{\ast +}\tilde{X}_{1,2}$ are investigated, and we find that the fit fraction of $\tilde{X}_1$ in the process $B^+ \to D^{\ast +} D^{\ast -} K^+$ is aobut $6\%$, which should be accessible experimentally.