Evaluation of Resonance Strengths and Reaction Rates of 22Ne (p, gamma) 23Na Nuclear Reaction at Thermonuclear Energies

Ahmed A.Selman
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Abstract

At thermal energies near stellar conditions, nuclear reactions are sensitive to resonance strengths of the nuclear reaction cross-section. In this paper, the resonance strengths of  nuclear reaction were evaluated numerically by means of nuclear reaction rate calculations using a written Matlab code, at the energies of interest in stellar nuclear reactions. The results were compared with standard reaction before and after application of a statistical analyses, to select the best parameters that made theoretical results as close as possible to the standard values. Fitting was made for different temperature ranges up to 10 GK, 0.6 GK and 0.25 GK. The evaluated results showed that as the temperature range becomes narrower, more error is added to the evaluated strengths. A proper strength value based on the most recent measured one suggested the difference of at least one order of magnitude can be solved using a numerical evaluation for energies less than 650 keV.
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热核能下22Ne (p, γ) 23Na核反应共振强度和反应速率的评价
在接近恒星的热能条件下,核反应对核反应截面的共振强度很敏感。本文利用编写的Matlab代码,通过核反应速率计算,对恒星核反应中感兴趣的能量下的核反应共振强度进行了数值计算。应用统计分析方法将结果与标准反应前后进行比较,以选择最佳参数,使理论结果尽可能接近标准值。配件适用于不同的温度范围,最高可达10 GK, 0.6 GK和0.25 GK。评估结果表明,随着温度范围的缩小,评估强度的误差增加。根据最近测量的强度值,一个合适的强度值表明,对于小于650 keV的能量,可以用数值计算来解决至少一个数量级的差异。
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