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An attempt to present a comprehensive overview of experimental data of radiative recombination (RR) rate of nuclei (from protons to uranium) and various intermediate charge states of ions in electron coolers is presented at the report. A comparison of the experimental data for bare nuclei with theoretical models of H. Kramers, M. Bell and J. S. Bell, R. Schuch has been performed. It is shown that the RR rate of bare nucleus depends on the electron energy shift relatively (in the center of mass system) to optimal electron energy as dE−3/8 (in energy range dE > 1 meV) that is significantly different from the theoretical approaches, including averaging over the transverse electron temperature. Also it is shown that the RR rate of bare nucleus depends on transverse temperature as Ttr. Analysis of the experimental data for cooled heavy ions shows that the rates of the process critically depends on their charge state (electron configuration of ion shells) and for some charge states essentially increases having a resonant character. The estimations of RR rate losses of the Au32+, Au33+, Au43+, Au51+, Au61+, Au68+ and Au69+ ions beam due to RR process in the electron cooler of the Booster is presented. The bare nuclei Au79+ lifetime limitation due to RR process in the electron cooler of the Collider NICA is analyzed and measures of its increasing are considered.
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