带电粒子热核反应速率:II。反应速率和概率密度函数图表
Charged-Particle Thermonuclear Reaction Rates: II. Tables and Graphs of Reaction Rates and Probability Density Functions
摘要:
表中列出了A=14 ~ 40区核的带电粒子热核反应速率的数值。结果是使用一种方法获得的,基于蒙特卡罗技术,这已经在本系列的前一篇论文(论文I)中描述。我们提出了一个低率,中位率和高率,分别对应于0.16,0.50和0.84分位数的累积反应速率分布。这些量的含义通常不同于通常报道的、但在统计学上无意义的表述,即总反应速率的“下限”、“标称值”和“上限”。此外,我们用对数正态分布来近似总反应速率的Monte Carlo概率密度函数,并将每个温度下的对数正态参数μ和σ列表。我们还提供了一个定量的措施(安德森-达林检验统计量)的可靠性对数正态近似。用户可以直接在恒星模型程序中实现近似的对数正态反应速率概率密度函数,用于恒星能量产生和核合成的研究。对于每个反应,Monte Carlo反应速率概率密度函数,连同其对数正态近似,以图形方式显示选定的温度,以提供视觉印象。我们的新反应速率适用于实验室中的裸核。用于推导我们的反应速率的核物理输入将在本系列的后续论文(论文III)中介绍。在本系列的第四篇论文(论文IV)中,我们将新的反应速率与以前的结果进行了比较。
英文摘要:
Numerical values of charged-particle thermonuclear reaction rates for nuclei in the A=14 to 40 region are tabulated. The results are obtained using a method, based on Monte Carlo techniques, that has been described in the preceding paper of this series (Paper I). We present a low rate, median rate and high rate which correspond to the 0.16, 0.50 and 0.84 quantiles, respectively, of the cumulative reaction rate distribution. The meaning of these quantities is in general different from the commonly reported, but statistically meaningless expressions, "lower limit", "nominal value" and "upper limit" of the total reaction rate. In addition, we approximate the Monte Carlo probability density function of the total reaction rate by a lognormal distribution and tabulate the lognormal parameters μ and σ at each temperature. We also provide a quantitative measure (Anderson-Darling test statistic) for the reliability of the lognormal approximation. The user can implement the approximate lognormal reaction rate probability density functions directly in a stellar model code for studies of stellar energy generation and nucleosynthesis. For each reaction, the Monte Carlo reaction rate probability density functions, together with their lognormal approximations, are displayed graphically for selected temperatures in order to provide a visual impression. Our new reaction rates are appropriate for bare nuclei in the laboratory. The nuclear physics input used to derive our reaction rates is presented in the subsequent paper of this series (Paper III). In the fourth paper of this series (Paper IV) we compare our new reaction rates to previous results.
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