  The angular momentum basis method is introduced to solve the inclusive
breakup within the model proposed by Ichimura, Austern, and Vincent [Phys. Rev.
C 32, 431 (1985)]. This method is based on the geometric transformation between
Jacobi coordinates, thus it is easy to corporate with particle spins. To test
the validity of this partial wave expansion method, a benchmark calculation is
done comparing with the one given in [Phys. Rev. C 92, 044616 (2015)]. Using
the distorted-wave Born approximation (DWBA) version of IAV model, some
applications to $^7$Li reactions are presented and compared with available
data.
