A modified microscopic Glauber theory has been extended to investigation of
the reaction and elastic differential cross sections of various projectile
-target collisions at low and intermediate energies. Through a systematic s
tudy, we find that the inclusion of the finite range interaction and Coulom
b modifications plays very important role in the Glauber theory to reproduc
e the experimental data at these energy ranges. Usually the effect of the C
oulomb modification is to decrease the reaction cross sections, on the cont
rary that of the finite range interaction modification increases them. The
angular distributions calculated by the Glauber theory including these two
corrections are in good agreement with the experimental data.