[en] The reaction cross sections for the interaction of exotic nuclei ⁶He and ¹¹Li with ¹²C nuclei are calculated for energies of about 0.8 GeV per nucleon. The cross sections calculated by the exact Glauber formula are compared with their counterparts found by using the formulas of the optical limit, the rigidtarget approximation, and the few-body approximation. The effect of the structure of the nuclei being considered on the calculated cross sections is examined. The root-mean-square radii of the ⁶He and ¹¹Li nuclei are estimated on the basis of experimental data on the cross sections for the interaction of these exotic nuclei with ¹²C nuclei

[en] Results of several experiments aimed at exploring the nuclear spatial structure of neutron-rich He and Li isotopes are presented and briefly discussed. The study of the density distributions in these nuclei by small-angle proton elastic scattering at intermediate energy is considered in more detail. The performed investigations allow one to obtain information on the total matter distributions, radii of the matter, neutron and proton distributions, effective and internal core sizes, halo sizes, and spatial correlations of the halo nucleons in the studied nuclei

[en] The ratios ρ_pHe and ρ_pn of the real to imaginary part of the forward proton-⁴He and proton-neutron elastic scattering amplitudes have been determined from the data on proton-helium elastic scattering cross sections at 0.7 GeV in the Coulomb-nuclear interference region to be ρ_pHe =-0.06±0.06 and ρ_pn = -0.28±0.12. The existing experimental values of ρ_pHe are compared in a wide range of energies with the corresponding values calculated by means of the Glauber model using the ratios ρ_pp and ρ_pn evaluated with the help of the dispersion relations.