各向同性介质中的中微子 - 电子散射核
Neutrino-electron scattering kernels in isotropic media
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中文总结 AI 辅助
研究早期宇宙中中微子与等离子体粒子相互作用里的中微子 - 电子散射核，通过类似康普顿散射核推导简化碰撞积分，得到解析表达式并阐述其性质，还说明可用于其他散射过程，结果对大爆炸核合成及相关应用有帮助。
中文摘要 AI 辅助
在早期宇宙中，中微子与等离子体中的粒子发生多次相互作用。关键过程是中微子与自由电子和正电子的散射。本文推导了各向同性介质中电子中微子 - 电子散射核的一般表达式，将五维碰撞积分解析简化为二维。采用类似于康普顿散射核的推导过程来减少角积分，得到一个用基本函数表示的紧凑解析表达式，便于求值。阐述了该核的性质并解析计算了其一阶矩，还考虑了光子 - 电子散射核以作对比，说明了所得表达式也可应用于$\nu_{\mu/\tau}$ - 电子和中微子 - 正电子散射过程。结果对大爆炸核合成可能有用，并作为康普顿散射库CSpack的扩展用于更广泛应用。
英文摘要
In the early universe, neutrinos undergo many interactions with the particles in the plasma. Key processes are the scattering of neutrinos by free electrons and positrons. In this paper, we derive general expressions for the electron neutrino-electron scattering kernel in isotropic media, analytically simplifying the 5D collision integral to two dimensions. We follow a procedure that is similar to the derivation of the Compton scattering kernel to reduce the angular integrals, yielding a compact analytic expression in terms of elementary functions that can be easily evaluated. We illustrate the properties of this kernel and also compute its first moments analytically, providing insights into the energetics of the redistribution process. For comparison, we consider the photon-electron scattering kernel, highlighting differences and similarities. We then explain how the obtained expressions can also be applied to the $ν_{μ/τ}$-electron and neutrino-positron scattering processes. The results presented here may be useful in the context of Big Bang Nucleosynthesis and were added as an extension to the Compton scattering library CSpack for more general applications.
