Abstract We propose a method of extracting the Cabibbo–Kobayashi–Maskawa matrix element from two-body hadronic decay processes of with precisely determined form factors of meson semi-leptonic decays. The amplitude which does not include the effect of hadronic final state interactions can be theoretically evaluated by using factorization and form factors of semi-leptonic B decays. We can obtain all the amplitudes in an isospin relation , including the effect of hadronic final state interactions as well as , using the experimental data of branching fractions of these three processes with a truncation of the states which contribute to the hadronic final state interactions. The extracted value of is . The decay processes of and can also be used in the same way, and the extracted values of are and , respectively. This method becomes possible by virtue of recent precise determinations of the form factors of semi-leptonic B decays. The uncertainties of by this method are expected to be reduced by the results of future B-factory experiments and lattice calculations.
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