Reliability of the Estimation of CP Asymmetries for Nonleptonic B⁰ - bar{B}⁰ Decays into Non-CP-Eigen states

CP asymmetries for two-body-nonleptonic $B^{0} - \bar{B}^{0}$ decay into non-CP-eigen states are calculated using two different methods: (i) Bauer, Stech, and Wirbel factorization method to compute the decay amplitudes directly; (ii) using $B^{0}, \bar{B}^{0}$ decay amplitude ratios to avoid the direct computation of the decay amplitudes. The comparison of the results are made. The conclusion is presented.