Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel

Srijit Paul, Giorgio Silvi, Constantia Alexandrou, Giannis Koutsou, Stefan Krieg, Luka Leskovec, Stefan Meinel, John W. Negele, Marcus Petschlies, Andrew Pochinsky, Gumaro Rendon, Sergey Syritsyn

Research output: Contribution to journalConference article

Abstract

We use lattice QCD and the Lüscher method to study elastic pion-nucleon scattering in the isospin I = 3/2 channel, which couples to the ∆(1232) resonance. Our Nf = 2 + 1 flavor lattice setup features a pion mass of mπ ≈ 250 MeV, such that the strong decay channel ∆ → πN 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 and the g∆−πN coupling.

Original languageEnglish (US)
Article number089
JournalProceedings of Science
Volume334
StatePublished - Jan 1 2018
Event36th Annual International Symposium on Lattice Field Theory, LATTICE 2018 - East Lansing, United States
Duration: Jul 22 2018Jul 28 2018

ASJC Scopus subject areas

  • General

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    Paul, S., Silvi, G., Alexandrou, C., Koutsou, G., Krieg, S., Leskovec, L., Meinel, S., Negele, J. W., Petschlies, M., Pochinsky, A., Rendon, G., & Syritsyn, S. (2018). Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel. Proceedings of Science, 334, [089].