The Brandt-Kitagawa (B-K) model for the effective charge is revisited
in order to account for the effect of trapped electrons on the energy
loss of a slow ion moving in a classical and collisionless plasma. The
electrons trapped in the potential created in the plasma by the proje
ctile are treated as classically bound, and it is shown that their mai
n effect is to reduce the effective charge state of the projectile. Th
is effect is expected to be important when the strength of the perturb
ation is non-negligible. (C) 1996 American Institute of Physics.