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High Energy Physics - Phenomenology
Title: Analysis of $B_s^0 \to X(3872) [ψ(2S)] π^+π^- (K^+ K^-)$ decays
(Submitted on 8 Apr 2024 (v1), last revised 22 Apr 2024 (this version, v2))
Abstract: We have phenomenologically investigated the decays $B_s^0 \to X(3872) \pi^+\pi^- (K^+ K^-)$ and $B_s^0 \to \psi(2S) \pi^+ \pi^- (K^+K^-)$. In our analysis, the scalar meson $f_0(980)$ is formed through the final state interactions of coupled channels $\pi \pi$ and $K\bar{K}$. Our findings indicate that the $\pi^+\pi^-$ invariant mass distribution of the $B_s^0 \to \psi(2S)\pi^+\pi^-$ decay can be accurately reproduced. Furthermore, we have explored the $\pi^+\pi^- (K^+ K^-)$ invariant mass distribution of the $B_s^0 \to X(3872) \pi^+\pi^- (K^+ K^-)$ decay, accounting for the different production mechanisms between $X(3872)$ and $\psi(2S)$, up to a global factor. It is found that the production rates for $X(3872)$ and $\psi(2S)$ are much different, which indicates that the structure of $X(3872)$ is more complicated than the $\psi(2S)$, which is a conventional $c\bar{c}$ state. Additionally, we have considered the contributions from $f_0(1500)$ to $\pi^+\pi^-$ and the $\phi$ meson to $K^+ K^-$ in our analysis. Utilizing the model parameters, we have calculated the branching fraction of $B_s^0 \to X(3872) K^+ K^-$, and anticipate that the findings of our study can be experimentally tested in the future.
Submission history
From: Ju-Jun Xie [view email][v1] Mon, 8 Apr 2024 00:20:12 GMT (395kb)
[v2] Mon, 22 Apr 2024 00:15:40 GMT (395kb)
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