$^{12}\mathrm{C}+{}^{12}\mathrm{C}$ 聚变中宏观相互作用模型与短程效应的系统研究
Systematic study of macroscopic interaction models and short-range effects in $^{12}\mathrm{C}+{}^{12}\mathrm{C}$ fusion
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中文总结 AI 辅助
本研究系统评估24种宏观相互作用对碳-12聚变的影响，发现短程排斥修正虽重组内部势但不普遍改善外推可靠性，且不产生传统聚变阻碍特征。
中文摘要 AI 辅助
$^{12}\mathrm{C}+{}^{12}\mathrm{C}$ 聚变反应是恒星碳燃烧的核心过程，然而其在天体物理能区的截面仍存在不确定性，且理论外推对所选用的核-核相互作用高度敏感。我们在一个统一的一维聚变框架内系统评估了24种宏观相互作用，发现它们与实验数据的相对吻合程度强烈依赖于所采用的统计量及所考虑的能区范围，没有任何一种相互作用能在所有判据下提供统一优越的描述。随后，我们在不重新拟合其底层参数化的前提下，对所有相互作用施加一种共同的唯象短程排斥修正。尽管外部聚变势垒基本保持不变，该修正显著重组了内部势结构，并导致与实验吻合程度出现强烈的模型依赖性变化。对五种代表性相互作用的详细分析表明，由此产生的低能抑制会传播到热核反应速率中，但在所计算的能区范围内并未产生传统的聚变阻碍对数斜率特征。这些结果表明，额外的短程排斥并不能为宏观聚变势提供普遍的改进，且向恒星碳燃烧能区外推的可靠性仍对相互作用的选择及其短程行为高度敏感。
英文摘要
The $^{12}\mathrm{C}+{}^{12}\mathrm{C}$ fusion reaction is central to stellar carbon burning, yet its cross section at astrophysical energies remains uncertain and theoretical extrapolations depend sensitively on the adopted nucleus-nucleus interaction. We systematically assess 24 macroscopic interactions within a common one-dimensional fusion framework and find that their relative agreement with experimental data depends strongly on both the statistical measure and energy interval considered, with no single interaction providing a uniformly superior description across all criteria. A common phenomenological short-range repulsive modification is then applied to all interactions without refitting their underlying parametrizations. Although the external fusion barrier remains essentially unchanged, the modification substantially reorganizes the inner-potential structure and produces strongly model-dependent changes in agreement with experiment. Detailed analysis of five representative interactions shows that the resulting low-energy suppression propagates into the thermonuclear reaction rates, but does not produce the conventional logarithmic-slope signature of fusion hindrance over the calculated energy range. These results demonstrate that additional short-range repulsion does not provide a universal improvement of macroscopic fusion potentials and that the reliability of extrapolations toward stellar carbon-burning energies remains sensitive to both the choice of interaction and its short-range behavior.
发表机构
- International Islamic University Malaysia（马来西亚国际伊斯兰大学）
- University of Malaya（马来亚大学）
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