Inelastic process cross-sections at collisions of relativistic structural heavy ions with atoms

Non-perturbative method of calculating cross sections of inelastic processes in collisions of structural high-charge heavy ions moving at relativistic rates and atoms is developed. By structural ions partially stripped ions consisting of ion nucleus and certain amount of bound electrons, partially compensating for the nucleus charge, are understood. Cross sections of single ionization of hydrogen atom, single and double ionization of helium atom are calculated. It is shown that account of ion charge length can result in noticeable changes in the relevant cross sections compared with ionization by point ions of the same charges and energies