论文标题
部分可观测时空混沌系统的无模型预测
Spectral function for $^4$He using the Chebyshev expansion in coupled-cluster theory
论文作者
论文摘要
我们通过将耦合群集理论与整体变换扩展到Chebyshev多项式来计算$^4 $ HE的光谱函数。我们的方法允许估计光谱重建的不确定性。 Chebyshev多项式的特性使该过程在数值上稳定，并且在存储器使用方面的性质比典型使用的兰开斯算法要低得多。我们通过文献中的其他计算以及准弹性峰中的电子散射数据基准了我们的预测。光谱函数形式主义使人们可以将Ab-Initio Lepton-Nucleus横截面扩展到相对论方案。这使其成为在较高能量传输下对此过程进行建模的有前途的工具。我们提出的结果为研究较重的核的研究打开了大门，这对于中微子振荡计划很重要。
We compute spectral function for $^4$He by combining coupled-cluster theory with an expansion of integral transforms into Chebyshev polynomials. Our method allows to estimate the uncertainty of spectral reconstruction. The properties of the Chebyshev polynomials make the procedure numerically stable and considerably lower in memory usage than the typically employed Lanczos algorithm. We benchmark our predictions with other calculations in the literature and with electron scattering data in the quasi-elastic peak. The spectral function formalism allows one to extend ab-initio lepton-nucleus cross sections into the relativistic regime. This makes it a promising tool for modeling this process at higher energy transfers. The results we present open the door for studies of heavier nuclei, important for the neutrino oscillation programs.
