（d，p）反应模型中光学势引起的不确定性量化
Uncertainty quantification due to optical potentials in models for (d,p) reactions
摘要：
最近的工作研究了使用扭曲波玻恩近似（DWBA）预测A（d，p）B反应的不确定性，来自有效dA相互作用的参数化[Lovell等人，版本C 95，024611]。单核子转移反应的理论有不同程度的复杂性，包括绝热波近似（ADWA），它考虑了氘核分裂的所有顺序。在这项工作中，我们量化的不确定性与ADWA方法，来自NA相互作用的参数化，并比较ADWA与DWBA。我们使用核子弹性散射数据对各种各样的目标，以限制光输入的ADWA理论的潜力。从$χ^2$ -分布中提取，我们获得弹性分布的95%置信度图。从得到的参数，我们预测95%的置信带（d，p）转移截面。用不相关的$χ^2$得到的结果与使用Lovell等人的相关的$χ^2$得到的结果进行比较。为了比较的目的，我们还对相同的反应重复了DWBA计算。我们发现，NA弹性散射数据提供了一个显着的相互作用的约束，并且，当不确定性传播到使用ADWA的转移反应，预测是一致的转移数据。ADWA的角分布不同于DWBA预测的，特别是在小角度。使用不相关的$χ^2$ -函数获得的置信带不切实际地窄，并且当考虑相关的$χ^2$ -函数时变得宽得多。在大多数情况下，在ADWA中获得的不确定性带窄于DWBA，当使用类似的质量和范围的弹性数据。然而，由于相关$χ^2$函数预测的不确定性很大，传输数据无法区分这两种方法。
英文摘要：
Recent work has studied the uncertainty in predictions for A(d,p)B reactions using the distorted-wave Born approximation (DWBA), coming from the parameterization of the effective dA interactions [Lovell et al., Phys. Rev. C 95, 024611]. There are different levels of sophistication in theories for one-nucleon transfer reactions, including the adiabatic wave approximation (ADWA) which takes deuteron breakup into account to all orders. In this work, we quantify the uncertainties associated with the ADWA method that come from the parameterization of the NA interactions, and compare ADWA with DWBA. We use nucleon elastic-scattering data on a wide variety of targets to constrain the optical potential input to the ADWA theory. Pulling from the $χ^2$-distribution, we obtain 95% confidence plots for the elastic distributions. From the resulting parameters, we predict 95% confidence bands for the (d,p) transfer cross sections. Results obtained with the uncorrelated $χ^2$ are compared to those using the correlated $χ^2$ of Lovell et al. We also repeat the DWBA calculations for the same reactions for comparison purposes. We find that NA elastic scattering data provides a significant constraint to the interactions, and, when the uncertainties are propagated to the transfer reactions using ADWA, predictions are consistent with the transfer data. The angular distributions for ADWA differ from those predicted by DWBA, particularly at small angles. Confidence bands obtained using the uncorrelated $χ^2$-function are unrealistically narrow and become much wider when the correlated $χ^2$-function is considered. For most cases, the uncertainty bands obtained in ADWA are narrower than DWBA, when using elastic data of similar quality and range. However, given the large uncertainties predicted from the correlated $χ^2$-function, the transfer data cannot discriminate between these two methods.
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