  We study the observed $B^-\rightarrow X(3823)K^-$ decay via rescattering
mechanism and show that this branching ratio is well reproduced by this
mechanism. We further extend this theoretical framework to investigate the
decays of $B^-\to\eta_{c2} (^1D_2)/\psi_3(^3D_3)K^-$, where the $\eta_{c2}
(^1D_2)$ and the $\psi_3(^3D_3)$ are $D$-wave charmonium partners of the
$X(3823)$. Our results show that the branching ratios, $B^-\to \eta_{c2}(^1D_2)
K^-$ and $B^-\to \psi_3(^3D_3) K^-$, are of the order of $10^{-5}$, which can
be accessible at LHCb, Belle and forthcoming BelleII.
