The recent experimental data on the quasielastic scattering of light u
nstable nuclei on stable target nuclei are reviewed. The microscopic a
pproaches to the construction of the nucleon density distributions in
nuclei and the projectile-target interaction potentials ale described,
The cross sections for quasielastic scattering are analyzed for a lar
ge group of light exotic nuclei. The problem of the existence of a neu
tron or proton halo in nuclei and other features of the nuclear matter
distribution are discussed, Possible future experiments on quasielast
ic scattering and other reactions using radioactive beams are suggeste
d. (C) 1997 American Institute of Physics.