[en] The behavior of the total cross sections for the interaction of ^3,4He with ⁵⁸Ni is analyzed at low and intermediate energies. The influence of structure peculiarities of composite particles on the interaction is considered. It is shown that the difference in the values of the total cross sections for the interactions of ³He and ⁴He with the ⁵⁸Ni nucleus at low energies is due to the break-up of ³He in the field of the nucleus. 31 refs., 6 figs