I = 3/2 Nπ scattering and the ∆(1232) resonance on Nf = 2 + 1 CLS ensembles using the stochastic LapH method

Christian Walther Andersen; John Bulava; Ben Hörz; Colin Morningstar

doi:10.22323/1.363.0039

I = 3/2 Nπ scattering and the ∆(1232) resonance on N_f = 2 + 1 CLS ensembles using the stochastic LapH method

Christian Walther Andersen^*, John Bulava, Ben Hörz, Colin Morningstar

^*Kontaktforfatter

Institut for Matematik og Datalogi

Publikation: Bidrag til tidsskrift › Konferenceartikel › Forskning › peer review

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Abstract

Calculations of the elastic I = ³₂ nucleon-pion scattering phase shifts on two lattice QCD ensembles with m_π = 200MeV and 280MeV are presented. The ensembles both employ N_f = 2 + 1 Wilson clover fermions. We determine the ∆(1232) resonance parameters from a finite volume scattering analysis. In one study the single partial wave simplification is employed to compute the p-wave amplitude while in the other we treat the partial wave mixing between s- and p-wave contributions. Fitting our data to a Breit-Wigner resonance model we find m_∆/m_π = 7.13(9) and 4.75(5) on the two ensembles respectively, showing that for a lighter quark mass the resonance mass moves from near the Nπ threshold to near the Nππ threshold, in agreement with experiment.

Originalsprog	Engelsk
Artikelnummer	039
Tidsskrift	Proceedings of Science
Vol/bind	363
Antal sider	7
ISSN	1824-8039
DOI	https://doi.org/10.22323/1.363.0039
Status	Udgivet - aug. 2020
Begivenhed	37th International Symposium on Lattice Field Theory, LATTICE 2019 - Wuhan, Kina Varighed: 16. jun. 2019 → 22. jun. 2019

Konference

Konference	37th International Symposium on Lattice Field Theory, LATTICE 2019
Land/Område	Kina
By	Wuhan
Periode	16/06/2019 → 22/06/2019

Bibliografisk note

Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

Dokumenter og links

10.22323/1.363.0039Licens: CC BY-NC-ND

Open Access VersionForlagets udgivne version, 292 KBLicens: CC BY-NC-ND

Citationsformater

@inproceedings{306585c0074d4d7ca6d4f5ab979abe29,

title = "I = 3/2 Nπ scattering and the ∆(1232) resonance on Nf = 2 + 1 CLS ensembles using the stochastic LapH method",

abstract = "Calculations of the elastic I = 32 nucleon-pion scattering phase shifts on two lattice QCD ensembles with mπ = 200MeV and 280MeV are presented. The ensembles both employ Nf = 2 + 1 Wilson clover fermions. We determine the ∆(1232) resonance parameters from a finite volume scattering analysis. In one study the single partial wave simplification is employed to compute the p-wave amplitude while in the other we treat the partial wave mixing between s- and p-wave contributions. Fitting our data to a Breit-Wigner resonance model we find m∆/mπ = 7.13(9) and 4.75(5) on the two ensembles respectively, showing that for a lighter quark mass the resonance mass moves from near the Nπ threshold to near the Nππ threshold, in agreement with experiment.",

author = "Andersen, {Christian Walther} and John Bulava and Ben H{\"o}rz and Colin Morningstar",

note = "Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).; 37th International Symposium on Lattice Field Theory, LATTICE 2019 ; Conference date: 16-06-2019 Through 22-06-2019",

year = "2020",

month = aug,

doi = "10.22323/1.363.0039",

language = "English",

volume = "363",

journal = "Proceedings of Science",

issn = "1824-8039",

publisher = "SISSA",

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TY - GEN

T1 - I = 3/2 Nπ scattering and the ∆(1232) resonance on Nf = 2 + 1 CLS ensembles using the stochastic LapH method

AU - Andersen, Christian Walther

AU - Bulava, John

AU - Hörz, Ben

AU - Morningstar, Colin

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

PY - 2020/8

Y1 - 2020/8

N2 - Calculations of the elastic I = 32 nucleon-pion scattering phase shifts on two lattice QCD ensembles with mπ = 200MeV and 280MeV are presented. The ensembles both employ Nf = 2 + 1 Wilson clover fermions. We determine the ∆(1232) resonance parameters from a finite volume scattering analysis. In one study the single partial wave simplification is employed to compute the p-wave amplitude while in the other we treat the partial wave mixing between s- and p-wave contributions. Fitting our data to a Breit-Wigner resonance model we find m∆/mπ = 7.13(9) and 4.75(5) on the two ensembles respectively, showing that for a lighter quark mass the resonance mass moves from near the Nπ threshold to near the Nππ threshold, in agreement with experiment.

AB - Calculations of the elastic I = 32 nucleon-pion scattering phase shifts on two lattice QCD ensembles with mπ = 200MeV and 280MeV are presented. The ensembles both employ Nf = 2 + 1 Wilson clover fermions. We determine the ∆(1232) resonance parameters from a finite volume scattering analysis. In one study the single partial wave simplification is employed to compute the p-wave amplitude while in the other we treat the partial wave mixing between s- and p-wave contributions. Fitting our data to a Breit-Wigner resonance model we find m∆/mπ = 7.13(9) and 4.75(5) on the two ensembles respectively, showing that for a lighter quark mass the resonance mass moves from near the Nπ threshold to near the Nππ threshold, in agreement with experiment.

U2 - 10.22323/1.363.0039

DO - 10.22323/1.363.0039

M3 - Conference article

AN - SCOPUS:85099584507

SN - 1824-8039

VL - 363

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 039

T2 - 37th International Symposium on Lattice Field Theory, LATTICE 2019

Y2 - 16 June 2019 through 22 June 2019

ER -