标题： 稀疏相关函数的核子-π介子谱学 显示英文标题

标题： Nucleon-Pion Spectroscopy from Sparsened Correlators

摘要： 中微子振荡实验需要对中微子能量进行精确重建，这在一定程度上依赖于对轴向 $N \rightarrow \Delta$ 转换形式因子的理论理解。 这种转换的格点QCD研究需要构建所有能量高达 $\Delta$ 共振质量的强子态，这包括对于物理夸克质量值下的 $N\pi$ 和 $N\pi\pi$。 从稀疏的源点和收点网格构建插值算符是一种灵活的方法，用于近似所有-到-所有夸克传播子，在其他多强子计算中已成功应用。 本文将讨论这种方法在 $N\pi$ 和 $N\pi\pi$ 系统中的应用，并展示初步结果。 显示英文摘要

摘要： Neutrino oscillation experiments require accurate reconstructions of neutrino energies, which depend in part on a theoretical understanding of the axial $N \rightarrow \Delta$ transition form factors. Lattice QCD studies of this transition require construction of all hadronic states with energies up to the mass of the $\Delta$ resonance, which includes $N\pi$ and $N\pi\pi$ for physical quark mass values. Building interpolating operators from sparse grids of source and sink points is a versatile method of approximating all-to-all quark propagators that has been successfully used in other multi-hadron calculations. This work will discuss applications of this method to $N\pi$ and $N\pi\pi$ systems and present preliminary results.