Dependence of the charge exchange cross sections on an incident ion charge

The dependence of total cross sections of the single-electron charge exchange of multiple-charge ions on atoms on incident ion charge Z has been investigated in the range of colliding particles relative velocities V from 2x107 cm/s to relativistic ones in the supposition that the given dependence at the fixed velocity is described by the power law σ approximately Zsup(α). The scale law of the transformation of the σ and V coordinates in which the total charge exchange cross section is of universal character has been formulated for the energy range E > 10 keV/nucl. It is shown that in the general case the index α is the function of two variables V and Z. With the increase of V value α increases from 1-2 to the theoretical limit α=5 resulting from the first Born approximation. The so called saturation effect takes place at high velocities - V > 108 cm/s; it means that α increases with the growth of Z up to the value αsub(max) <=5 which is defined by the relation between V, Z and atom-target binding energy, and then α decreases