论文标题
用Skyrme Hartree-fock-Bogoliubov+$ pn $ -QRPA和Isoscalar配对强度通过贝叶斯方法优化
Calculation of $β$-decay half-lives with Skyrme Hartree-Fock-Bogoliubov+$pn$-QRPA and isoscalar pairing strengths optimized by a Bayesian method
论文作者
论文摘要
对于放射性核数据，$β$衰减是最重要的信息之一，并应用于各个领域。但是，由于实验困难，某些$β$ - 订单数据无法获得。从这方面，理论上计算的结果已嵌入到$β$ -DECAY数据中，以补偿丢失的信息。为了计算$β$ -Decay的半衰期，使用球形对称性的假设，应用了Skryme能量密度函数上质子中的准粒子随机相近似。等相配对强度通过贝叶斯中性网络（BNN）估算。我们通过准备训练数据和测试数据来验证预测的等构配对强度。据证实，有限范围的等距离配对确保了$β$ - decay的半衰期对模型空间不敏感，而零范围的一个很大程度上取决于它。通过BNN等级配对强度计算的半衰期重现了大多数实验数据，尽管高度变形核的实验数据被低估了。我们还研究了未用于BNN培训的新实验数据的预测性能，并发现它们得到了很好的复制。我们的研究表明，由BNN确定的等构配对强度可以以与其他理论工作相同的精度再现实验数据。
For radioactive nuclear data, $β$ decay is one of the most important information and is applied to various fields. However, some of the $β$-decay data are not available due to experimental difficulties. From this respect, theoretically calculated results have been embedded in the $β$-decay data to compensate the missing information. To calculate the $β$-decay half-lives, a proton-neutron quasi-particle random phase approximation on top of a Skryme energy density functional is applied with an assumption of spherical symmetry. The isoscalar pairing strength is estimated by a Bayesian neutral network (BNN). We verify the predicted isoscalar pairing strengths by preparing the training data and test data. It was confirmed that the finite-range isovector pairing ensures the $β$-decay half-lives insensitive to the model space, while the zero-range one was largely dependent on it. The half-lives calculated with the BNN isoscalar pairing strengths reproduced most of experimental data, although those of highly deformed nuclei were underestimated. We also studied that the predictive performance on new experimental data that were not used for the BNN training and found that they were reproduced well. Our study demonstrates that the isoscalar pairing strengths determined by the BNN can reproduce experimental data in the same accuracy as other theoretical works.
