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arXiv · 2312.00321

Nucleon-Pion Spectroscopy from Sparsened Correlators

Anthony V. Grebe·Michael Wagman
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Abstract

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.

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Anthony V. Grebe, Michael Wagman. 2023-12-01. Nucleon-Pion Spectroscopy from Sparsened Correlators. https://arxiv.org/abs/2312.00321

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