Abstract

Lifetimes of low-energy states in the semimagic nucleus $^{211}\mathrm{At}$ were measured employing the recoil-distance Doppler shift and the Doppler-shift attenuation methods. The deduced transition probabilities are compared to two shell-model calculations, one using the modified Kuo-Herling interaction in a multi-$j$ model space and the other using a semiempirical interaction for protons confined to the single-$j 0{h}_{9/2}$ orbital. The Kuo-Herling calculations overestimates some of the ground-state transition probabilities, possibly due to contributions not included in the calculated ground-state wave function of $^{211}\mathrm{At}$. A strong underestimation of the $E2$ strengths involving the $7/{2}_{1}^{\ensuremath{-}}$ state is also observed. Therefore, a modification of a single two-body matrix element of the Kuo-Herling interaction is introduced which improves the agreement with the experimental data significantly. The calculations in the single-$j$ approximation agree very well with the measured transition probabilities, indicating that seniority can be regarded as a good quantum number in $^{211}\mathrm{At}$.

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