Abstract
By using the 3-point QCD sum rules, we calculate the transition form factors
of \$D\$ decays into the spin triplet axial vector mesons \$a\_1(1260)\$, \$f\_1(1285)
\$, \$f\_1(1420)\$. In the calculations, we consider the quark contents of each
meson in detail. In view of the fact that the isospin of \$a\_1(1260)\$ is one, we
calculate the \$D^+ a\_1^0 (1260)\$ and \$D^0 a\_1^- (1260)\$
transition form factors separately. In the case of \$ f\_1(1285), f\_1(1420)\$, the
mixing between light flavor \$SU(3)\$ singlet and octet is taken into account.
Based on the form factors obtained here, we give predictions for the branching
ratios of relevant semileptonic decays, which can be tested in the future
experiments.
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