利用来自无限核物质的从头算谱函数建模准弹性轻子-原子核相互作用
Modeling quasielastic lepton-nucleus interactions with ab initio spectral functions from infinite nuclear matter
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中文总结 AI 辅助
该研究采用从头算谱函数结合神经网络插值，构建准弹性轻子-原子核相互作用模型，经不同靶核测试与实验数据吻合良好，可扩展至更多动力学机制。
中文摘要 AI 辅助
我们在局域密度近似框架下开展准弹性轻子-原子核散射研究，采用通过自洽格林函数理论推导、经神经网络插值得到的来自无限核物质的从头算谱函数。我们以粒子谱函数的形式纳入末态相互作用，并针对不同动量转移探究该处理方式的重要性与适用范围。针对不同同位旋对称靶核的 inclusive 电子散射测试了该模型的性能，给出了$^{12}$C、$^{16}$O和$^{40}$Ca的计算结果。评估了源于神经网络插值和哈密顿量依赖的理论不确定性，还给出了$^{16}$O的带电流响应及通量平均后的$\nu_\u03bc$-$^{12}$C总截面计算。我们的模型在近似适用范围内与实验数据吻合良好，该框架可便捷扩展以纳入更多动力学机制（如π介子产生）及其他核哈密顿量。
英文摘要
We present a study of quasielastic lepton-nucleus scattering within the local density approximation, using ab initio spectral functions from infinite nuclear matter derived with self-consistent Green's functions theory and interpolated by neural networks. We include final-state interactions in terms of the particle spectral function and investigate the importance and range of validity of this treatment for varying momentum transfer. The performance of the model is tested for inclusive electron scattering on different isospin-symmetric target nuclei, and we present results for $^{12}$C, $^{16}$O, and $^{40}$Ca. Theoretical uncertainties originating from the neural network interpolation and the Hamiltonian dependence are assessed. We also present a calculation of charged-current responses of $^{16}$O and the flux-averaged total $ν_μ-^{12}$C cross section. Our model shows good agreement with experimental data within the range of validity of our approximations. The framework can be readily extended to include additional dynamical mechanisms, such as pion production, as well as other nuclear Hamiltonians.
