  The mean field (MF) composite Fermion (CF) picture successfully predicts the
low-lying bands of states of fractional quantum Hall systems. This success
cannot be attributed to the originally proposed cancellation between Coulomb
and Chern--Simons interactions beyond the mean field and solely depends on the
short range of the repulsive Coulomb pseudopotential in the lowest Landau level
(LL). The class of pseudopotentials is defined for which the MFCF picture can
be applied. The success or failure of the MFCF picture in various systems
(electrons in the lowest and excited LL's, Laughlin quasiparticles) is
explained.
