Abstract
A general expression for the cross section of the inelastic collision of relativistic highly charged ions with heavy (relativistic) atoms is obtained using the generalized eikonal approximation. In the ultrarelativistic limit the obtained formula coincides with the known exact one and has the standard nonrelativistic limit. As an application of the obtained result probabilities and cross sections of single and double K-vacancy production in U92+ – U91+, U90+ collisions are calculated.
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