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Spectral analysis for nucleon-pion and nucleon-pion-pion states in both parity sectors using distillation with domain-wall fermions

A. Hackl* and C. Lehner

  • *Contact author: andreas.hackl@ur.de
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Phys. Rev. D 113, 114502 – Published 2 June, 2026

DOI: https://doi.org/10.1103/lmtl-c92f

Abstract

We present a study using the distillation method to analyze the spectra of nucleon, nucleon-pion, and nucleon-pion-pion states in the positive-parity sector, as well as nucleon and nucleon-pion states in the negative-parity sector. The study uses seven domain-wall fermion ensembles with varying pion masses (mπ=139–279  MeV), lattice spacings (a−1=1.730  GeV and a−1=2.359  GeV) and volumes (mπL=3.8–7.5). To address the large number of contractions in this project, we implemented an algorithm to automate the contraction of nucleon-pion correlation functions that contain an arbitrary number of pions. In the positive-parity sector, we extrapolate the nucleon mass to the physical point. This study demonstrates the effectiveness of the distillation method for baryonic quantities with a focus on multihadronic states and establishes a foundation for future work.

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Phys. Rev. D 113, 114502– Published 2 June, 2026
  • Received 29 October 2025
  • Accepted 17 April 2026
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