Weak phase information from the color suppressed ${\stackrel{(-)}{B}}_d^0\to {\stackrel{(-)}{D}}^{*0}{\stackrel{(-)}{K}}^{*0}$ modes

The decay channels ${\stackrel{(-)}{B}}_d\to {\stackrel{(-)}{D}}^0{\stackrel{(-)}{K}}^{*0}$, ${\stackrel{(-)}{D}}^{*0}{\stackrel{(-)}{K}}^{*0}$ are investigated for extracting weak Cabibbo-Kobayashi-Maskawa (CKM) phase information. These channels are described by color suppressed tree diagrams only and are free from penguin contributions. The branching ratios for these channels are found to be $\sim \mathcal{O}({10}^{-5}–{10}^{-6})$ which can be measured at the currently running $B$ factories. The method presented here may be well suited to determine the CKM angle $\gamma$.