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@INPROCEEDINGS{Paul:858191,
      author       = {Paul, Srijit and Silvi, Giorgio and Alexandrou, Constantia
                      and Koutsou, Giannis and Krieg, Stefan and Leskovec, Luka
                      and Meinel, Stefan and Negele, John and Petschlies, Marcus
                      and Pochinsky, Andrew and Rendon, Gumaro and Syritsyn,
                      Sergey},
      title        = {{T}owards the {P}-wave nucleon-pion scattering amplitude in
                      the $\Delta (1232)$ channel},
      volume       = {LATTICE2018},
      address      = {Trieste},
      publisher    = {SISSA},
      reportid     = {FZJ-2018-07097},
      series       = {Proceedings of Science},
      pages        = {14 p.},
      year         = {2018},
      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},
      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.},
      month         = {Jul},
      date          = {2018-07-22},
      organization  = {36th Annual International Symposium on
                       Lattice Field Theory, East Lansing,
                       Michigan (USA), 22 Jul 2018 - 28 Jul
                       2018},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511)},
      pid          = {G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)8 / PUB:(DE-HGF)7},
      eprint       = {1812.01059},
      howpublished = {arXiv:1812.01059},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:1812.01059;\%\%$},
      url          = {https://juser.fz-juelich.de/record/858191},
}