We improve the results for the β − -decay rates obtained within the context of the Gross Theory of Beta Decay (GTBD) by using new values of the parameter σ N related to the standard deviation for the Gamow-Teller resonance: we include experimental data when they are available and, if not, we adopt the value of the nearest neighbor previous (that is, with less mass) that has experimental data. We evaluate the β − -decay rates using a Gaussian energy distribution function with the axial-vector weak coupling constant | g A | = 1, considering updated experimental mass defects and also an improved approximation for the Fermi function. Our sample consists of 94 nuclei with mass in the range 46 < A < 70, all of them decaying by means of allowed transitions, which are of interest in the pre-supernova phase and have experimental data in terrestrial conditions available in the Letter of Nuclides. We compare our result with those obtained within the same GTBD but using values of σ N adjusted in Possidonio ( Braz. J. Phys. 48:485, 2018) by minimizing the χ 2 -function, and also with systematic microscopic calculations. We have shown that the substitution of the adjusted parameters by experimental data in GTBD improves the results for β − -decay rates by 6.4 % .

中文翻译：

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使用 Gamow-Teller 共振参数的实验数据在总理论内评估 Beta 衰减率

我们通过使用与 Gamow-Teller 共振的标准偏差相关的参数 σ N 的新值，改进了在 Beta 衰减总理论 (GTBD) 背景下获得的 β - 衰减率的结果：我们包括实验数据当它们可用时，如果不可用，我们采用具有实验数据的最近邻（即质量较小）的值。我们使用具有轴矢量弱耦合常数的高斯能量分布函数来评估 β - 衰减率 | 克A | = 1，考虑到更新的实验质量缺陷以及费米函数的改进近似。我们的样本由 94 个质量在 46 < A < 70 范围内的原子核组成，它们都通过允许的跃迁而衰减，它们对超新星前阶段很感兴趣，并且在《核素信函》中提供了地球条件下的实验数据。我们将我们的结果与在相同 GTBD 中获得的结果进行比较，但使用在 Possidonio (Braz. J. Phys. 48:485, 2018) 中通过最小化 χ 2 函数以及系统的微观计算调整的 σ N 值。我们已经表明，在 GTBD 中用实验数据替换调整后的参数将 β - 衰减率的结果提高了 6.4%。