Contribution to a conference proceedings/Contribution to a book

FZJ-2018-07097

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Towards the P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel

Paul, S. (Corresponding author) ; Silvi, G. (Corresponding author)FZJ* ; Alexandrou, C. ; Koutsou, G. ; Krieg, S.FZJ* ; Leskovec, L. ; Meinel, S. ; Negele, J. ; Petschlies, M. ; Pochinsky, A. ; Rendon, G. ; Syritsyn, S.

2018
SISSA Trieste

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Please use a persistent id in citations: http://hdl.handle.net/2128/21484

Abstract: We use lattice QCD and the L\'uscher method to study elastic pion-nucleon scattering in the isospin $I = 3/2$ channel, which couples to the $\Delta(1232)$ resonance. Our $N_f=2+1$ flavor lattice setup features a pion mass of $m_\pi \approx 250$ MeV, such that the strong decay channel $\Delta \rightarrow \pi N$ is close to the threshold. We present our method for constructing the required lattice correlation functions from single- and two-hadron interpolating fields and their projection to irreducible representations of the relevant symmetry group of the lattice. We show preliminary results for the energy spectra in selected moving frames and irreducible representations, and extract the scattering phase shifts. Using a Breit-Wigner fit, we also determine the resonance mass $m_\Delta$ and the $g_{\Delta-\pi N}$ coupling.

Note: 14 pages, 7 figures, Proceedings of the 36th Annual International Symposium on Lattice Field Theory (Lattice 2018), 22-28 July 2018, Michigan State University, East Lansing, Michigan USA

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 511 - Computational Science and Mathematical Methods (POF3-511) (POF3-511)

Appears in the scientific report 2018

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