Speakers
Description
The half-lives of nuclei undergoing $\beta$-decay are highly sensitive to the $Q_{\beta}$ values. In order to achieve reliable theoretical predictions, it is crucial to construct an effective interaction or energy density functional (EDF) capable of systematically reproducing experimental $Q_{\beta}$ values. One of the main challenges is identifying which EDFs can accurately predict $Q_{\beta}$ values. To address this issue, we investigate the bulk nuclear properties that exhibit correlations with $Q_{\beta}$. The central goal of this study is to pinpoint which of these bulk properties most significantly impact $Q_{\beta}$. Our analysis utilizes a wide range of Skyrme energy density functionals under the assumption of spherical symmetry. Specifically, we examine the correlations between $Q_{\beta}$ and various nuclear bulk properties by computing Pearson correlation coefficients across 42 different Skyrme EDF parameter sets. We observe that the symmetry energy at sub-saturation (low) densities correlates strongly with $Q_{\beta}$ values. However, this correlation diminishes as the density increases. Our results indicate that a symmetry energy of 32.8 ยฑ 0.7 MeV and an effective mass ๐โ/๐โฅ0.75 at saturation density provide the best agreement with experimental $Q_{\beta}$ values, offering a promising direction for improving $\beta$-decay predictions.
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