Abstract
In this paper, we present the branching ratio and polarization fraction of two body decay of Bs0 to the vector mesons ϕ(1020) and X(3872) in which the X(3872) meson can be considered as an intermediate resonance in the final decay Bs0→J/ψπ+π−ϕ(1020). For this aim, the naive factorization approach is used to calculate the decay amplitude with the different helicities due to the combination of polarization states of two mesons X(3872) and ϕ(1020). Within the framework of the factorization approach, we find the branching fraction for the two body channel of Bs0→X(3872)ϕ(1020)=(6.31±0.01)×10−5 and also Br(X(3872)→J/ψπ+π−) and Br(X(3872)→J/ψπ+π−)Br(Bs0→X(3872)ϕ(1020)) are calculated which are in well agreement with CMS collaboration data. Furthermore, we estimate the decay width of resonance X(3872) into final states J/ψπ+π− which is within the range of experimental data. By these results and available experimental data, we render the branching ratio of decays B+ and Bs0 into X(3872)K+ and X(3872)K0, respectively. Also, in the nonleptonic two body decay of Bs0→X(3872)ϕ(1020), the direct and indirect CP-violating asymmetries are estimated to indicate the potential role of the such decays to measure CP-violation.
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