Model uncertainties arising due to suppression of target excitations in the description of deuteron scattering and resulting in a modification of the two-body interactions in a three-body system are investigated for several $(d,p)$ reactions serving as indirect tools for studying the astrophysical $(p,\gamma )$ reactions relevant to $rp$ process. The three-body nature of the deuteron-target potential is treated within the adiabatic distorted-wave approximation (ADWA) which relies on a dominant contribution from the components of the three-body deuteron-target wave function with small $n\text{−}p$ separations. This results in a simple prescription for treating the explicit energy dependence of two-body optical potentials in a three-body system requiring nucleon optical potentials to be evaluated at a shifted energy with respect to the standard value of half the deuteron incident energy. In addition, the ADWA allows for leading-order multiple-scattering effects to be estimated, which leads to a simple renormalization of the adiabatic potential's imaginary part by a factor of two. These effects are assessed using both nonlocal and local optical potential systematics for ${}^{26}\mathrm{Al}$, ${}^{30}\mathrm{P}$, ${}^{34}\mathrm{Cl}$, and ${}^{56}\mathrm{Ni}$ targets at a deuteron incident energy of 12 MeV, which is typical for experiments with radioactive beams in inverse kinematics. The model uncertainties induced by the three-body nature of deuteron-target scattering are found to be within $40\%$ both in the main peak of angular distributions and in total $(d,p)$ cross sections. At higher deuteron energies, around 60 MeV, model uncertainties can reach 100% in the total cross sections. A few examples of application to astrophysically interesting proton resonances in ${}^{27}\mathrm{Si}$ and ${}^{57}\mathrm{Cu}$ obtained using $(d,p)$ reactions and mirror symmetry are given.

中文翻译：

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(d,p)反应中的三体光势及其对恒星核合成间接研究的影响

由于在氘散射描述中抑制目标激发而产生的模型不确定性以及导致三体系统中两体相互作用的修改的模型不确定性研究了几个 $(d,磷)$ 反应作为研究天体物理学的间接工具 $(磷,\gamma )$ 相关反应 $r磷$过程。氘靶势的三体性质在绝热畸变波近似 (ADWA) 内进行处理，ADWA 依赖于三体氘靶波函数分量的主要贡献，具有较小的$n\text{-}磷$分离。这导致了一个简单的处方，用于处理三体系统中两体光势的显式能量依赖性，要求核子光势以相对于氘核入射能量一半的标准值的移动能量进行评估。此外，ADWA 允许估计超前阶多重散射效应，这导致绝热势虚部的简单重整化系数为 2。这些影响是使用非局部和局部光学势系统学来评估的${}^{26}铝$, ${}^{30}\mathrm{磷}$, ${}^{34}氯$， 和 ${}^{56}你$以 12 MeV 的氘核入射能量为目标，这对于逆运动学中放射性束的实验来说是典型的。发现氘靶散射的三体性质引起的模型不确定性在$40\%$ 角分布的主峰和总峰 $(d,磷)$交叉区域。在更高的氘核能量下，大约 60 MeV，模型的不确定性在总横截面中可以达到 100%。一些在天体物理学上有趣的质子共振应用的例子${}^{27}硅$ 和 ${}^{57}铜$ 使用获得 $(d,磷)$ 给出了反应和镜像对称。