  In the article, we assume the two scalar nonet mesons below and above 1 GeV
are all $\bar{q}q$ states, in case I, the scalar mesons below 1 GeV are the
ground states, in case II, the scalar mesons above 1 GeV are the ground states.
We calculate the $B-S$ form-factors by taking into account the perturbative
${\mathcal{O}}(\alpha_s)$ corrections to the twist-2 terms using the light-cone
QCD sum rules and fit the numerical values of the form-factors into the
single-pole forms, which have many phenomenological applications.
