核反应速率对人口III恒星钙生产的影响：全局分析
Impact of Nuclear Reaction Rates on Calcium Production in Population III Stars: A Global Analysis
AI总结：
本研究通过分析核反应速率对人口III恒星钙生产的影响，发现更新的反应速率能更准确地预测观测到的钙丰度，需进一步减少反应速率不确定性以改进恒星模型预测。
摘要：
我们利用一维多区恒星模型，研究了40个太阳质量的人口III恒星中钙生产对核反应速率的敏感性。构建了一个全面的核反应网络，所有(p,γ)和(p,α)反应速率分别被提高和降低10倍，确定了13个初步关键反应用于钙生产。为了将反应速率不确定性传播到钙生产，对这些关键反应进行了两组蒙特卡洛模拟：一组采用STARLIB反应速率，另一组结合了最近的实验数据和评估更新的速率。我们的结果表明，使用更新的速率进行的蒙特卡洛模拟与极铁贫星SMSS J031300.36-670839.3的观测钙丰度在模型预测的68%置信区间内一致。相比之下，使用STARLIB速率时，观测到的钙丰度略微超出68%置信区间。斯皮尔曼等级相关分析和SHAP值表明，F18和F19的(p,γ)和(p,α)反应对钙生产有强烈的耦合效应。这些反应速率的不确定性需要减少以约束恒星模型预测。我们的研究为未来核物理实验提供了见解，旨在减少人口III恒星核合成中的反应速率不确定性。此外，20个太阳质量和40个太阳质量的人口III恒星模型的比较确认，后者在使用更新的反应速率时更能够再现观测到的Ca丰度和[Ca/Mg]比值。
英文摘要：
We investigate the sensitivity of calcium production to nuclear reaction rates of a 40 solar-mass Population III star using 1D multi-zone stellar models. A comprehensive nuclear reaction network was constructed, and all $(p,γ)$ and $(p,α)$ reaction rates were individually varied by a factor of 10 up and down, identifying 13 preliminary key reactions for calcium production. To propagate the reaction rate uncertainties on calcium production, two sets of Monte Carlo simulations were performed for these key reactions: one adopting STARLIB reaction rates and the other incorporating updated rates from recent experimental data and evaluations. Our results show that Monte Carlo simulations using the updated rates show good agreement with the observed calcium abundance of the extremely iron-poor star SMSS J031300.36-670839.3 within the 68% confidence interval predicted by the models. In contrast, the observed calcium abundance lies marginally outside the 68% C.I. when using the STARLIB rates. Spearman rank-order correlation analysis and SHAP values show that the $(p,γ)$ and $(p,α)$ reactions of F18 and F19 exhibit strong coupled effects on calcium production. These reaction-rate uncertainties need to be reduced to constrain the stellar model predictions. Our study provides insights for future nuclear physics experiments aimed at reducing reaction rate uncertainties in the nucleosynthesis of Population III Stars. Additionally, comparisons between 20 solar-mass and 40 solar-mass Population III stellar models confirm that the latter, with updated reaction rates, is more capable of reproducing the observed Ca abundance and [Ca/Mg] ratio.
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