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We have phenomenologically investigated the decays Bₛ⁰ X (3872) ^+^- (K^+ K^-) and Bₛ⁰ (2S) ^+ ^- (K^+K^-). In our analysis, the scalar meson f₀ (980) is formed through the final state interactions of coupled channels and KK. Our findings indicate that the ^+^- invariant mass distribution of the Bₛ⁰ (2S) ^+^- decay can be accurately reproduced. Furthermore, we have explored the ^+^- (K^+ K^-) invariant mass distribution of the Bₛ⁰ X (3872) ^+^- (K^+ K^-) decay, accounting for the different production mechanisms between X (3872) and (2S), up to a global factor. It is found that the production rates for X (3872) and (2S) are much different, which indicates that the structure of X (3872) is more complicated than the (2S), which is a conventional cc state. Additionally, we have considered the contributions from f₀ (1500) to ^+^- and the meson to K^+ K^- in our analysis. Utilizing the model parameters, we have calculated the branching fraction of Bₛ⁰ X (3872) K^+ K^-, and anticipate that the findings of our study can be experimentally tested in the future.
Wang et al. (Sun,) studied this question.