We investigate the impact of statistical uncertainties in the two-nucleon potentials on the neutron–deuteron elastic scattering and the deuteron breakup reaction observables at incoming nucleon kinetic energy up to 200 MeV. To that end we use the semi-phenomenological one-pion-exchange- Gaussian two-nucleon potential developed by the Granada group and the recent semi-local momentum-space regularized chiral nucleon–nucleon interaction at various orders, neglecting the three-nucleon force present in the three-nucleon system. The magnitudes of statistical uncertainties for these two potentials are found to be rather similar. For the chiral potential, we also show truncation errors estimated, among others, using the Bayesian method and discuss the residual cutoff dependence. The statistical uncertainty is generally found to be smaller than the truncation errors except for certain observables calculated at high chiral orders at nucleon energies up to 65 MeV. In general, magnitudes of the theoretical uncertainties are small and amount up to 0.5%–4%, depending on the observable and energy.

我们研究了在进入核子动能高达200 MeV时，两个核子势的统计不确定性对中子-氘核弹性散射和氘核分解反应的影响。为此，我们使用了由格拉纳达小组开发的半现象学的一小子交换-高斯二核子电势和最近的半局部动量空间正则手性核子-核子相互作用的各个阶次，而忽略了三核子力存在于三核系统中。发现这两种潜力的统计不确定性幅度相当相似。对于手性电位，我们还显示了使用贝叶斯方法估计的截断误差，并讨论了残差截止依赖性。通常发现统计不确定性小于截断误差，除了在高达65 MeV的核子能量下以高手性级计算出的某些可观察值。通常，理论上的不确定性很小，取决于可观察到的能量和能量，其不确定性最高可达0.5％–4％。