A physical prescription to improve the accuracy of few-body Glauber mo
del calculations of reactions involving loosely bound projectiles is p
resented in which the eikonal phase shift function of each projectile
constituent is modified to account for curvature of its trajectory. No
neikonal effects due to both nuclear and Coulomb interactions are trea
ted on an equal footing. The proposed method is assessed quantitativel
y by comparison with full quantum mechanical calculations in the case
of Be-11+C-12 elastic scattering, treated as a three-body Be-10 + n target problem, at energies of 25 and 49.3 MeV/nucleon. Calculated cro
ss-section angular distributions which include the noneikonal modifica
tions are shown to be accurate to larger scattering angles, and for lo
wer incident projectile energies.