Abstract

The \(\beta\)-decay half-life and the delayed neutron emission of \({}^{60}\)Ca are studied within a microscopic model, which is based on the Skyrme interaction T45 to construct single-particle and phonon spaces. We observe a redistribution of the Gamow–Teller strength due to the phonon-phonon coupling and the tensor correlations, considered in the model. For \({}^{60}\)Sc, the spin-parity of the ground state is found to be \(1^{+}\). We predict that the half-life of \({}^{60}\)Ca is 0.3 ms, while the total probabilities of the \(\beta xn\) emission is 6.1%. To elucidate the obtained results, the random matrix theory has been applied to analyse the statistical properties of the \(1^{+}\) spectrum populated in the \(\beta\)-decay. We found a remarkable agreement between the GT strength distribution, obtained within the microscopic approach, and the ones, generated by means of the random coupling between the one- and two-phonon configurations.

中文翻译：

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Ca $ {} ^ {\ mathbf {60}} $$ Ca中的Gamow-Teller强度分布的统计特性

抽象

的\（\测试\）衰变半衰期和的缓发中子发射\（{} ^ {60} \）的Ca，研究微观模型，该模型是基于所述的Skyrme相互作用T45构建单粒子内和声子空间。由于模型中考虑的声子-声子耦合和张量相关性，我们观察到了高莫-泰勒强度的重新分布。对于\（{} ^ {60} \） Sc，发现基态的自旋奇偶性为\（1 ^ {+} \）。我们预测\（{} ^ {60} \） Ca的半衰期为0.3 ms，而\（\ beta xn \）发射的总概率为6.1％。为了阐明获得的结果，随机矩阵理论已被用于分析统计数据的统计特性。\（1 ^ {+} \）频谱以\（\ beta \）-衰减填充。我们发现，在微观方法中获得的GT强度分布与通过一声子和二声子结构之间的随机耦合产生的GT强度分布之间有着显着的一致性。