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000858191 005__ 20210129235856.0
000858191 0247_ $$2arXiv$$aarXiv:1812.01059
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000858191 037__ $$aFZJ-2018-07097
000858191 1001_ $$0P:(DE-HGF)0$$aPaul, Srijit$$b0$$eCorresponding author
000858191 1112_ $$a36th Annual International Symposium on Lattice Field Theory$$cEast Lansing, Michigan$$d2018-07-22 - 2018-07-28$$gLattice 2018$$wUSA
000858191 245__ $$aTowards the P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel
000858191 260__ $$aTrieste$$bSISSA$$c2018
000858191 300__ $$a14 p.
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000858191 4900_ $$aProceedings of Science$$vLATTICE2018
000858191 500__ $$a14 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
000858191 520__ $$aWe use lattice QCD and the L\'uscher method to study elastic pion-nucleon scattering in the isospin $I = 3/2$ channel, which couples to the $\Delta(1232)$ resonance. Our $N_f=2+1$ flavor lattice setup features a pion mass of $m_\pi \approx 250$ MeV, such that the strong decay channel $\Delta \rightarrow \pi N$ is close to the threshold. We present our method for constructing the required lattice correlation functions from single- and two-hadron interpolating fields and their projection to irreducible representations of the relevant symmetry group of the lattice. We show preliminary results for the energy spectra in selected moving frames and irreducible representations, and extract the scattering phase shifts. Using a Breit-Wigner fit, we also determine the resonance mass $m_\Delta$ and the $g_{\Delta-\pi N}$ coupling.
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000858191 7001_ $$0P:(DE-Juel1)171116$$aSilvi, Giorgio$$b1$$eCorresponding author$$ufzj
000858191 7001_ $$0P:(DE-HGF)0$$aAlexandrou, Constantia$$b2
000858191 7001_ $$0P:(DE-HGF)0$$aKoutsou, Giannis$$b3
000858191 7001_ $$0P:(DE-Juel1)132171$$aKrieg, Stefan$$b4$$ufzj
000858191 7001_ $$0P:(DE-HGF)0$$aLeskovec, Luka$$b5
000858191 7001_ $$0P:(DE-HGF)0$$aMeinel, Stefan$$b6
000858191 7001_ $$0P:(DE-HGF)0$$aNegele, John$$b7
000858191 7001_ $$0P:(DE-HGF)0$$aPetschlies, Marcus$$b8
000858191 7001_ $$0P:(DE-HGF)0$$aPochinsky, Andrew$$b9
000858191 7001_ $$0P:(DE-HGF)0$$aRendon, Gumaro$$b10
000858191 7001_ $$0P:(DE-HGF)0$$aSyritsyn, Sergey$$b11
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