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

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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 ( m π = 139 – 279 MeV ), lattice spacings ( a − 1 = 1.730 GeV and a − 1 = 2.359 GeV ) and volumes ( m π L = 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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Funding Information
  • Hans Böckler Stiftung
  • Gauss Centre for Supercomputing
  • U.S. Department of Energy
  • Office of Science (DE-AC02-06CH11357)
  • Office of Science (DE-AC05-00OR22725)
  • Deutsche Forschungsgemeinschaft

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