2024/12/23 by Andreas Hackl, Christoph Lehner, Hackl, Andreas +1
Physics and Astronomy · #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #Physics of Superconductivity and Magnetism
paper · pdf · doi:10.48550/arxiv.2412.17442
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 multi-hadronic states and establishes a foundation for future work.