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I=3/2 nucleon-pion scattering and the Delta(1232) resonance on 2+1 flavor CLS ensembles using the stochastic LapH method

2019/11/22 by Christian Walther Andersen, John Bulava, Andersen, Christian Walther +5
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1911.10021

openalex publication_date 2019/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Calculations of the elastic I=(3)/(2) nucleon-pion scattering phase shifts on two lattice QCD ensembles with mπ=200MeV and 280MeV are presented. The ensembles both employ Nf = 2+1 Wilson clover fermions. We determine the Δ(1232) resonance parameters from a finite volume scattering analysis. In one study the single partial wave simplification is employed to compute the p-wave amplitude while in the other we treat the partial wave mixing between s- and p-wave contributions. Fitting our data to a Breit-Wigner resonance model we find mΔ/mπ= 7.13(9) and 4.75(5) on the two ensembles respectively, showing that for a lighter quark mass the resonance mass moves from near the Nπ threshold to near the Nππ threshold, in agreement with experiment.

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