The X-ray spectral distribution of swift heavy Ti and Ni ions
(11 MeV/u) observed inside aerogels (ρ = 0.1
g/cm3) and dense solids (quartz, ρ = 2.23
g/cm3) indicates a strong presence of simultaneous
3–5 charge states with one K-hole. We show that the
theoretical analysis can be split into two tasks: first, the
treatment of complex autoionizing states together with the
originating spectral distribution, and, second, a charge-state
distribution model. Involving the generalized line profile function
theory, we discuss attempts to couple charge-state distributions.