Analysis of Bs0→X(3872)[ψ(2S)]π+π−(K+K−) decays

Abstract

We have phenomenologically investigated the decays Bs0→X(3872)π+π−(K+K−) and Bs0→ψ(2S)π+π−(K+K−). In our analysis, the scalar meson f0(980) is formed through the final state interactions of coupled channels ππ and KK¯. Our findings indicate that the π+π− invariant mass distribution of the Bs0→ψ(2S)π+π− decay can be accurately reproduced. Furthermore, we have explored the π+π−(K+K−) invariant mass distribution of the Bs0→X(3872)π+π−(K+K−) decay, accounting for the different production mechanisms between X(3872) and ψ(2S), up to a global factor. It is found that the production rates for X(3872) and ψ(2S) are much different, which indicates that the structure of X(3872) is more complicated than the ψ(2S), which is a conventional cc¯ state. Additionally, we have considered the contributions from f0(1500) to π+π− and the ϕ 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. Published by the American Physical Society 2024