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The nuclear transition between the ground and the low-energy isomeric statein the ^{229}Th nucleus is of interest due to its high sensitivity to ahypothetical temporal variation of the fundamental constants and a possibilityto build a very precise nuclear clock, but precise knowledge of the nuclearclock transition frequency is required. In this work we estimate theprobability of an electronic bridge process in ^{229}Th^35+, allowing todetermine the nuclear transition frequency and reduce its uncertainty. Usingconfiguration interaction methods we calculated energies of the low-lyingstates of Th^35+ and determined their uncertainties.

Low-lying energy levels of ^{229}Th35+ and the electronic bridge process