  Inclusive breakup is an important reaction mechanism of reactions induced by
weakly bound nuclei. The Ichimura, Austern, and Vincent (IAV) model is widely
used to analyze inclusive breakup processes and is based on a Distorted Wave
Born Approximation (DWBA). However, the validity of the DWBA form for inclusive
breakup requires further exploration. In this study, we present a derivation of
the IAV model, using the continuum-discretized coupled-channels (CDCC) wave
function, and apply it to the $d+^{93}$Nb reaction. We examine the differences
between the CDCC-IAV and DWBA-IAV models by artificially modifying the binding
energy of the deuteron using two distinct types of optical potential. Our
findings indicate that the CDCC method potentially provides a more fundamental
description of the $d$+$A$ interaction and may provide a more realistic
description of the interior part of the wave function. This study offers
significant potential in increasing the precision and dependability of weakly
bound nuclei inclusive breakup process estimation within a fully quantum
mechanical model.
