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

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P waves
scattering amplitude
pions
scattering
energy spectra
phase shift
quantum chromodynamics
projection
thresholds
symmetry
decay

ASJC Scopus subject areas

  • General

Cite this

Paul, S., Silvi, G., Alexandrou, C., Koutsou, G., Krieg, S., Leskovec, L., ... Syritsyn, S. (2018). Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel. Proceedings of Science, 334, [089].

Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel. / Paul, Srijit; Silvi, Giorgio; Alexandrou, Constantia; Koutsou, Giannis; Krieg, Stefan; Leskovec, Luka; Meinel, Stefan; Negele, John W.; Petschlies, Marcus; Pochinsky, Andrew; Rendon, Gumaro; Syritsyn, Sergey.

In: Proceedings of Science, Vol. 334, 089, 01.01.2018.

Research output: Contribution to journalConference article

Paul, S, Silvi, G, Alexandrou, C, Koutsou, G, Krieg, S, Leskovec, L, Meinel, S, Negele, JW, Petschlies, M, Pochinsky, A, Rendon, G & Syritsyn, S 2018, 'Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel', Proceedings of Science, vol. 334, 089.
Paul S, Silvi G, Alexandrou C, Koutsou G, Krieg S, Leskovec L et al. Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel. Proceedings of Science. 2018 Jan 1;334. 089.
Paul, Srijit ; Silvi, Giorgio ; Alexandrou, Constantia ; Koutsou, Giannis ; Krieg, Stefan ; Leskovec, Luka ; Meinel, Stefan ; Negele, John W. ; Petschlies, Marcus ; Pochinsky, Andrew ; Rendon, Gumaro ; Syritsyn, Sergey. / Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel. In: Proceedings of Science. 2018 ; Vol. 334.
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AU - Paul, Srijit

AU - Silvi, Giorgio

AU - Alexandrou, Constantia

AU - Koutsou, Giannis

AU - Krieg, Stefan

AU - Leskovec, Luka

AU - Meinel, Stefan

AU - Negele, John W.

AU - Petschlies, Marcus

AU - Pochinsky, Andrew

AU - Rendon, Gumaro

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