Calculations of bound-state ^--decay half-lives of highly ionized ^163Dy^66+, ^187Re^75+ and ^205Tl^81+

We propose a theoretical method to calculate the bound-state -decay half-lives of highly-ionized atoms, which is based on the combination of the Takahashi-Yokoi model and our recently-developed projected shell model that can take into account both allowed and first-forbidden transitions of nuclear decay. Three examples that are of much experimental interests, ^163Dy^66+, ^187Re^75+ and ^205Tl^81+ are taken for calculations. The ground and low-lying states of related nuclei are described reasonably. The bound-state -decay half-lives of ^163Dy^66+ and ^187Re^75+ are described within a factor of two and four by our calculations without and with the quenching factors in allowed and first-forbidden transitions. The bound-state -decay half-life of the last s-process branching point ^205Tl^81+ is predicted to be 58 and 305 days for cases without and with the quenching factors in calculations. The presented method provides a theoretical way to calculate systematically the bound-state -decay half-lives of nuclei from light to heavy ones including odd-mass and even-mass cases for the first time.