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We calculate the decay rates lambda_(beta^-_c) and lambda_(beta^-_b) of thecontinuum- and bound-state beta^- decays for bare 205Hg80+ and 207Tl81+ ions.For the ratio of the decay rates R_(b/c) = lambda_(beta^-_b)/lambda_(beta^-_c)we obtain the values R_(b/c) = 0.161 and R_(b/c) = 0.190 for bare 205Hg80+ and207Tl81+ ions, respectively. The theoretical value of the ratio R_(b/c) = 0.190for the decays of 207Tl81+ agrees within 1% of accuracy with the experimentaldata R^exp_(b/c) = 0.188(18), obtained at GSI. The theoretical ratio R_(b/c) =0.161 for 205Hg80+ is about 20% smaller than the experimental value R^exp_(b/c)= 0.20(2), measured recently at GSI.

First-Forbidden Continuum- and Bound-State beta^- -Decay Rates of Bare 205Hg80+ and 207Tl81+ Ions