AI 中文总结
研究宇宙学和恒星核合成中热核反应速率的闭式解析评估，利用麦克唐纳分布考察非共振反应速率积分扩展，探讨广义特殊函数应用及分析相关反应概率积分。
AI 中文摘要
反应速率的确定是宇宙学和恒星核合成理论中的一个基本问题。本文研究热核反应速率的闭式解析评估，这对宇宙和天体核合成都是必要的。当恒星内部偏离流体静力平衡时，在核聚变过程中可考虑麦克斯韦 - 玻尔兹曼分布之外的速度分布。本研究利用麦克唐纳分布，考察了标准、截止、耗尽和屏蔽情况下非共振反应速率积分的扩展。主要探讨了在数学物理中表示扩展非共振热核函数的广义特殊函数的应用。此外，还尝试分析了对应于几种缓慢变化截面因子S(E)形式的反应概率积分。
英文摘要
Reaction rate determination is an essential problem in the theories of cosmological and stellar nucleosynthesis. I investigate the closed-form analytic evaluation of thermonuclear reaction rates, which are necessary for both cosmic and celestial nucleosynthesis. An alternate velocity distribution to the Maxwell-Boltzmann distribution can be considered in nuclear fusion processes occurring in the interior of stars when there is a diversion from hydrostatic equilibrium. The extension of non-resonant reaction rate integrals in standard, cut-off, depletion, and screening instances is examined in this study, utilising the MacDonald distribution. This study is primarily on the use of generalized special functions that represent the extended non-resonant thermonuclear functions in mathematical physics. Moreover, an attempt is made to analyse the reaction probability integrals corresponding to the several forms of the slowly varying cross-section factor S(E).
Comments13 pages, 4 figures
Journal refAstrophys Space Sci 371, 68 (2026)
DOI：10.1007/s10509-026-04600-5
