  The formalism to describe the scattering of a weakly bound projectile nucleus
by a heavy target is investigated, using the Uncorrelated Scattering
Approximation. The main assumption involved is to neglect the correlation
between the fragments of the projectile in the region where the interaction
with the target is important. It is shown that the angular momentum of each
fragment with respect to the target is conserved. Moreover, when suitable
approximations are assumed, the kinetic energy of each fragment is also shown
to be conserved. The S-matrix for the scattering of the composite system can be
written as a combination of terms, each one being proportional to the product
of the S-matrices of the fragments.
