Determination of f0–σ mixing angle through B_{s}(0) -> J/\varPsi\ f_{0}(980)(\sigma) decays

We study $B_{s}^{0} \to J/\psi f_{0}(980)$ decays, the quark content of f₀(980) and the mixing angle of f₀(980) and σ(600). We calculate not only the factorizable contribution in the QCD factorization scheme but also the nonfactorizable hard spectator corrections in QCDF and pQCD approach. We get a result consistent with the experimental data of $B_{s}^{0} \to J/\psi f_{0}(980)$ and predict the branching ratio of $B_{s}^{0}$–J/ψσ. We suggest two ways to determine f₀–σ mixing angle θ. Using the experimental measured branching ratio of $B_{s}^{0} \to J/\psi f_{0}(980)$, we can get the f₀–σ mixing angle θ with some theoretical uncertainties. We suggest another way to determine the f₀–σ mixing angle θ using both experimental measured decay branching ratios $B_{s}^{0} \to J/\psi f_{0}(980) (\sigma)$ to avoid theoretical uncertainties.