  The Continuum Discretized Coupled Channels (CDCC) method is a well
established theory for direct nuclear reactions which includes breakup to all
orders. Alternatively, the 3-body problem can be solved exactly within the
Faddeev formalism which explicitly includes breakup and transfer channels to
all orders. With the aim to understand how CDCC compares with the exact 3-body
Faddeev formulation, we study deuteron induced reactions on: i) $^{10}$Be at
$E_{\rm d}= 21.4, 40.9 \; {\rm and} \; 71$ MeV; ii) $^{12}$C at $E_{\rm d} = 12
\; {\rm and} \; 56$ MeV; and iii) $^{48}$Ca at $E_{\rm d} = 56$ MeV. We
calculate elastic, transfer and breakup cross sections. Overall, the
discrepancies found for elastic scattering are small with the exception of very
backward angles. For transfer cross sections at low energy $\sim$10 MeV/u, CDCC
is in good agreement with the Faddeev-type results and the discrepancy
increases with beam energy. On the contrary, breakup observables obtained with
CDCC are in good agreement with Faddeev-type results for all but the lower
energies considered here.
