Factorization and SU(2) Heavy Flavor Symmetry for B-Meson Decays Producing Charmonium
Abstract
We show that the factorization assumption in color-suppressed
B
meson decays is not ruled out by experimental data on $B \ra K(K^*) + J/\Psi(\Psi^{'})$. The problem previously pointed out might be due to an inadequate choice of hadronic form factors. Within the Isgur-Wise SU(2) heavy flavor symmetry framework, we search for possible
q
2
dependence of form factors that are capable of explaining simultaneously the large longitudinal polarization
ρ
L
observed in $B \ra K^* + J/\Psi$ and the relatively small ratio of rates $R_{J/\Psi} = \Gamma(B \ra K^* + J/\Psi)/\Gamma(B \ra K + J/\Psi)$. We find out that the puzzle could be essentially understood if the
A
1
(
q
2
)
form factor is frankly decreasing, instead of being almost constant or increasing as commonly assumed. Of course, the possibility of understanding experimental data is not necessarily a proof of factorization.