Probing Factorization in Color-Suppressed $B \rightarrow \psi(2S) + K(K^*)$ Decay

In order to probe the factorization hypothesis in color-suppressed $B \rightarrow \psi (2S) + K (K^*)$ decays we have studied three ratios: $R \equiv B (B \rightarrow \psi K) / B (B \rightarrow \psi(2S) K)$, $R' \equiv B (B \rightarrow \psi K^*) / B (B \rightarrow \psi(2S) K^*)$ and $P_L^\prime \equiv \Gamma_L (B \rightarrow \psi(2S) K^*)/\Gamma (B \rightarrow \psi(2S) K^*)$ in several scenarios for the $q^2$-dependence of the form factors involved. We find that measurements of R and $R'$, which exist, do not yield scenario-independent tests of factorization. However, the predicted range of $P_L^\prime$ in all scenarios lies in a narrow range, 0.50 {\ \lower-1.2pt\vbox{\hbox{\rlap{<}\lower5pt\vbox{\hbox{\sim}}}}\ } P_L^\prime \leq 0.67, and could test factorization.