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Based on the time-dependent density-functional theory, we have derived arigorous formula for the stopping power of an {\it interacting} electron gasfor ions in the limit of low projectile velocities. If dynamical correlationbetween electrons is not taken into account, this formula recovers thecorresponding stopping power of {\it noninteracting} electrons in an effectiveKohn-Sham potential. The correlation effect, specifically the excitonic one inelectron-hole pair excitations, however, is found to considerably enhance thestopping power for intermediately charged ions, bringing our theory into goodagreement with experiment.Comment: 4 pages, 1 figure, Accepted to Phys. Rev. B (Rapid Communication

Time-dependent density-functional theory for the stopping power of an interacting electron gas for slow ions