  We propose a method of extracting the Cabibbo-Kobayashi-Maskawa matrix
element $|V_{cb}|$ from two-body hadronic decay processes of $B\to DK$ with
precisely determined form factors of $B$ meson semi-leptonic decays. The
amplitude $\mathcal{M}(\bar{B}^0 \to D^+ K^-)$ 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 $\mathcal{A}(B^-\to D^0K^-)
=\mathcal{A}(\bar{B}^0\to D^+K^{-})+\mathcal{A}(\bar{B}^0\to D^{0}\bar{K}^0)$
including the effect of hadronic final state interactions as well as $|V_{cb}|$
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 $|V_{cb}|$ is $(37\pm 6)\times 10^{-3}$.
The decay processes of $B\to DK^{*}$ and $B\to D^{*}K$ can also be used in the
same way and the extracted values of $|V_{cb}|$ are $(41\pm 7)\times 10^{-3}$
and $(42\pm 9)\times 10^{-3}$, respectively. This method becomes possible by
virtue of recent precise determinations of the form factors of semi-leptonic B
decays. The uncertainties of $|V_{cb}|$ by this method are expected to be
reduced by the results of future B-factory experiments and lattice
calculations.

High Energy Physics - Phenomenology