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

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

Physics

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

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 N_f = 2 + 1 flavor lattice setup features a pion mass of m_π ≈ 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_∆−π_N coupling.

Original language	English (US)
Article number	089
Journal	Proceedings of Science
Volume	334
State	Published - 2018
Event	36th Annual International Symposium on Lattice Field Theory, LATTICE 2018 - East Lansing, United States Duration: Jul 22 2018 → Jul 28 2018

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Cite this

@article{953476dc9a60413e9651359bca1870d4,

title = "Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel",

abstract = "We use lattice QCD and the L{\"u}scher 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.",

author = "Srijit Paul and Giorgio Silvi and Constantia Alexandrou and Giannis Koutsou and Stefan Krieg and Luka Leskovec and Stefan Meinel and Negele, \{John W.\} and Marcus Petschlies and Andrew Pochinsky and Gumaro Rendon and Sergey Syritsyn",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons.; 36th Annual International Symposium on Lattice Field Theory, LATTICE 2018 ; Conference date: 22-07-2018 Through 28-07-2018",

year = "2018",

language = "English (US)",

volume = "334",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "Sissa Medialab Srl",

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TY - JOUR

T1 - Towards the P-wave nucleon-pion scattering amplitude in the ∆(1232) channel

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

AU - Syritsyn, Sergey

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85069956206

UR - https://www.scopus.com/inward/citedby.url?scp=85069956206&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85069956206

SN - 1824-8039

VL - 334

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 089

T2 - 36th Annual International Symposium on Lattice Field Theory, LATTICE 2018

Y2 - 22 July 2018 through 28 July 2018

ER -

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

Abstract

ASJC Scopus subject areas

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