论文标题
$ ^{70} $ zn $（d， ^3 \！\ text {he}） ^{69} $ cu转移反应反应的贝叶斯分析
Bayesian Analysis of the $^{70}$Zn$(d, ^3\!\text{He}) ^{69}$Cu Transfer Reaction
论文作者
论文摘要
转移反应提供了有关核水平的单粒子性质的信息。特别是，这些测量值的差分截面对转移粒子的角动量和人群水平的光谱因子敏感。但是，从实验和理论来源中，提取这些特性的过程都受到不确定性的影响。通过将扭曲的波生近似结合到贝叶斯模型中，我们将这些不确定性传播到光谱因子和轨道角动量值。我们使用先前报道的质子拾音器反应的数据$ ^{70} $ zn $（d， ^3 \！\ text {he}） ^{69} $ cu作为示例。通过考虑实验数据，光学模型参数和反应机制中的不确定性，我们发现$^{69} $ CU的低躺状态的提取的光谱因子受到较大的不对称不确定性，范围从$ 35 \％\％$ $ $ $ $ 108 \％\％。此外，还采用贝叶斯模型比较将概率分配给每个允许的角动量转移。该方法证实了许多州的作业，但建议以$ 3.70 $ MEV的状态数据的数据更好，以$ \ ell = 3 $转移的特征，而不是先前报道的$ \ ell = 2 $。
Transfer reactions provide information about the single-particle nature of nuclear levels. In particular, the differential cross sections from these measurements are sensitive to the angular momentum of the transferred particle and the spectroscopic factor of the populated level. However, the process of extracting these properties is subject to uncertainties, both from experimental and theoretical sources. By integrating the distorted wave Born approximation into a Bayesian model, we propagate these uncertainties through to the spectroscopic factors and orbital angular momentum values. We use previously reported data of the proton pickup reaction $^{70}$Zn$(d, ^3\!\text{He}) ^{69}$Cu as an example. By accounting for uncertainties in the experimental data, optical model parameters, and reaction mechanism, we find that the extracted spectroscopic factors for low lying states of $^{69}$Cu are subject to large, asymmetric uncertainties ranging from $35 \%$ to $108 \%$. Additionally, Bayesian model comparison is employed to assign probabilities to each of the allowed angular momentum transfers. This method confirms the assignments for many states, but suggests that the data for a state lying at $3.70$ MeV is better characterized by an $\ell = 3$ transfer, rather than the previously reported $\ell = 2$.
