TY  - CONF
AU  - Paul, Srijit
AU  - Silvi, Giorgio
AU  - Alexandrou, Constantia
AU  - Koutsou, Giannis
AU  - Krieg, Stefan
AU  - Leskovec, Luka
AU  - Meinel, Stefan
AU  - Negele, John
AU  - Petschlies, Marcus
AU  - Pochinsky, Andrew
AU  - Rendon, Gumaro
AU  - Syritsyn, Sergey
TI  - Towards the P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel
VL  - LATTICE2018
CY  - Trieste
PB  - SISSA
M1  - FZJ-2018-07097
T2  - Proceedings of Science
SP  - 14 p.
PY  - 2018
N1  - 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
AB  - 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.
T2  - 36th Annual International Symposium on Lattice Field Theory
CY  - 22 Jul 2018 - 28 Jul 2018, East Lansing, Michigan (USA)
Y2  - 22 Jul 2018 - 28 Jul 2018
M2  - East Lansing, Michigan, USA
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)7
UR  - https://juser.fz-juelich.de/record/858191
ER  -