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The recently measured probabilities of the β-delayed fission for 178,180Tl are used to deduce the fission-barrier heights of the daughter isotopes 178,180Hg, undergoing low-energy fission. Four alternative β-decay strength functions and four variants of the statistical model of de-excitation of the daughter nucleus are used to determine the fission-barrier height for ¹⁸⁰Hg. Depending on the choice of the model, the deduced fission-barrier heights appear to be between 10$%$ and 40$%$ smaller than theoretical estimates. This observation is verified also for fission-barrier heights extracted using the probability of β-delayed fission of ¹⁷⁸Tl. The spread in extracted fission-barrier heights results mainly from uncertainties in the magnitude of the pairing gap at the saddle configuration.
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Veselský et al. (2012) studied this question.
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