We present a theoretical analysis of recently published experimental d
ata for the elastic scattering of protons from the helium isotopes He-
6 and He-8 at energies near 700 MeV per nucleon. The analysis treats t
he few-body degrees of freedom of these light neutron-rich nuclei expl
icitly and is developed in terms of three-and five-body wave functions
for He-6 and He-8, respectively. Comparisons of calculations with the
data show that the sizes of the He nuclei consistent with such an ana
lysis are larger by about 0.2 fm than those deduced from a more approx
imate procedure in which the structure of the weakly bound nuclei ente
rs only through an assumed nuclear matter density.