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We calculate the branching ratios of pure annihilation type decays$B^0\rightarrow D_{s}^{-}K_{2}^{*+}$ and $B_s\rightarrow \bar{D}a_{2}$ usingthe perturbative QCD approach based on $k_T$ factorization. The branchingratios are predicted to be $(60.6_{-16.5\,-10.4\,-2.1}^{+17.3\,+4.3\,+3.2})\times 10^{-6}$ for $B^0\rightarrow D_{s}^{-}K_{2}^{*+}$,$(1.1_{-0.4\,-0.2\,-0.1}^{+0.4\,+0.1\,+0.1})\times 10^{-6}$ for $B_s\rightarrow\bar{D}a_{2}^{0}$ and $(2.3_{-0.8\,-0.4\,-0.1}^{+0.8\,+0.2\,+0.1})\times10^{-6}$ for $B_{s}\rightarrow D^{-}a_{2}^{+}$.  They are large enough to be measured in the ongoing experiment. Due to theshortage of contributions from penguin operators, there are no direct CPasymmetries for these decays in the standard model. We also derive simplerelations among these decay channels to reduce theoretical uncertainties forthe experiments to test the accuracy of theory and search of new physicssignal.

The pure annihilation type decays $B^0\rightarrow D_{s}^{-}K_{2}^{*+}$ and $B_{s}\rightarrow \bar{D}a_{2}$ in perturbative QCD approach