Nuclear bound-state ${\beta }^{-}$ decay (${\beta }_{\text{b}}$ decay) is a novel weak-interaction process that becomes possible when atoms are highly ionized, such as in stellar environments or heavy-ion storage rings. In this work we present systematic theoretical calculations for the ${\beta }_{\text{b}}$-decay half-lives of interesting candidates for the first time, where both allowed Gamow-Teller transitions and first-forbidden transitions are taken into account by the microscopic projected shell model, and the lepton phase space is calculated by the Takahashi-Yokoi model. We analyze the structure informations for hundreds of nuclei near the $\beta$-stability line, and select 16 interesting candidates belonging to two categories, i.e., nuclei with negative $Q$ values and positive $Q$ values in neutral atoms, respectively. Among these candidates, we recommend ${}^{243}\mathrm{Am}^{95+}$, ${}^{194}\mathrm{Os}^{76+}$, ${}^{227}\mathrm{Ac}^{89+}$, ${}^{228}\mathrm{Ra}^{88+}$, ${}^{241}\mathrm{Pu}^{94+}$, ${}^{247}\mathrm{Cm}^{96+}$, and ${}^{250}\mathrm{Cm}^{96+}$ as promising ones for future studies of storage-ring experiments because their ${\beta }_{\text{b}}$-decay half-lives are predicted to be much shorter than the half-lives in neutral atoms. These findings provide essential nuclear inputs for astrophysical models and identify specific candidates where experimental verification would be most valuable.

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• Beta decay
• Collective levels
• Lifetimes & widths
• Nuclear decay
• Collective models
• Shell model