论文标题
反应速率计算中的相关能量不确定性
Correlated Energy Uncertainties in Reaction Rate Calculations
论文作者
论文摘要
语境。蒙特卡洛方法可用于评估来自许多不确定的核输入产生的反应速率的不确定性。但是，到目前为止，还没有尝试在输入共振参数中找到相关能量不确定性的影响。 目标。研究相关能量不确定性对反应速率的影响。 方法。利用数值和蒙特卡洛的共振能量的组合，研究了相关的效果。考虑了五种反应：两个虚构的，说明性的情况和三个反应，其比率具有当前感兴趣的速度。 结果。共振能中相关性的影响取决于特定的反应横截面和所考虑的温度。当几个共振对反应速率平均贡献，并且位于游戏峰的两侧时，它们的能量之间的相关性稀释了它们对反应速率不确定性的影响。但是，如果它们位于游戏峰的最大值上方或下方，则它们的共振能量之间的相关性可以增加反应速率的不确定性。对于有助于反应速率的宽和狭窄共振的复杂反应可能很难预测这种效果。
Context. Monte Carlo methods can be used to evaluate the uncertainty of a reaction rate that arises from many uncertain nuclear inputs. However, until now no attempt has been made to find the effect of correlated energy uncertainties in input resonance parameters. Aims. To investigate the impact of correlated energy uncertainties on reaction rates. Methods. Using a combination of numerical and Monte Carlo variation of resonance energies, the effect of correlations are investigated. Five reactions are considered: two fictional, illustrative cases and three reactions whose rates are of current interest. Results. The effect of correlations in resonance energies depends on the specific reaction cross section and temperatures considered. When several resonances contribute equally to a reaction rate, and are located either side of the Gamow peak, correlations between their energies dilute their effect on reaction rate uncertainties. If they are both located above or below the maximum of the Gamow peak, however, correlations between their resonance energies can increase the reaction rate uncertainties. This effect can be hard to predict for complex reactions with wide and narrow resonances contributing to the reaction rate.
