  Based on the multiple scattering series incorporated in the Faddeev scheme
the high energy limit of the total n+d cross section is evaluated in a
nonrelativistic model system where spins are neglected. In contrast to the
naive expectation that the total n+d scattering cross section is the sum of two
NN cross sections we find two additional effects resulting from rescattering
processes. These additional terms have different signs (shadowing and
antishadowing) and a different behavior as function of the energy. Our
derivation of these results which are already known from Glauber theory is
based on the analytical evaluation of elastic transition amplitudes in the high
energy limit. It does not depend on the diffraction type assumptions connected
with Glauber theory. In this model of spinless Yukawa type forces (with no
absorption) the total n+d cross section does not approach twice the NN total
cross section in the high energy limit but rather approaches the total NN cross
section multiplied by a number larger than two. Therefore, the enhancement
effect resulting from rescattering is larger than the shadowing effect, which
decreases faster with energy.
