Nucleon-Pion Spectroscopy from Sparsened Correlators

Abstract

Neutrino oscillation experiments require accurate reconstructions of neutrino energies, which depend in part on a theoretical understanding of the axial 𝑁 → Δ transition form factors. Lattice QCD studies of this transition require construction of all hadronic states with energies up to the mass of the Δ resonance, which includes 𝑁 𝜋 and 𝑁 𝜋𝜋 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 𝜋 and 𝑁 𝜋𝜋 systems and present preliminary results.