Preprint

PUBDB-2022-04523

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Elastic nucleon-pion scattering at $m_{\pi} \approx 200~{\rm MeV}$ from lattice QCD

Bulava, J. (Corresponding author)DESY* ; Hanlon, A. D. ; Hörz, B. ; Morningstar, C. (Corresponding author) ; Nicholson, A. ; Romero-López, F. (Corresponding author) ; Skinner, S. (Corresponding author) ; Vranas, P. ; Walker-Loud, A.

2022

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Please use a persistent id in citations: doi:10.3204/PUBDB-2022-04523

Report No.: DESY-22-140; MIT-CTP/5455; arXiv:2208.03867

Abstract: Elastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with $N_f = 2+1$ dynamical quark flavors and $m_{\pi}$ = 200 MeV. The $s$-wave scattering lengths with both total isospins $I=1/2$ and $I=3/2$ are inferred from the finite-volume spectrum below the inelastic threshold together with the $I=3/2$ $p$-wave containing the $\Delta(1232)$ resonance. The amplitudes are well-described by the effective range expansion with parameters constrained by fits to the finite-volume energy levels enabling a determination of the $I=3/2$ scattering length with statistical errors below $5\%$, while the $I = 1/2$ is somewhat less precise. Systematic errors due to excited states and the influence of higher partial waves are controlled, providing a pathway for future computations down to the physical light quark masses with multiple lattice spacings and physical volumes.

Keyword(s): error, statistical ; expansion, effective range ; quark, mass ; quark, flavor ; lattice field theory ; scattering length ; finite size ; partial wave ; Delta(1232) ; excited state ; scattering amplitude ; energy levels ; gauge field theory ; lattice ; isospin ; scattering ; lattice QCD ; scattering amplitudes

Note: 35 pages, 15 figures

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Contributing Institute(s):

1. Z_APR (Z_APR)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2022

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Database coverage:
; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Bulava, J.DESY* ; Hanlon, A. D. ; Hörz, B. ; Morningstar, C. (Corresponding author) ; Nicholson, A. ; Romero-López, F. ; Skinner, S. ; Vranas, P. ; Walker-Loud, A.
Elastic nucleon-pion scattering at $m_π$ = 200 MeV from lattice QCD
Nuclear physics / B 987, 116105 (2023) [10.1016/j.nuclphysb.2023.116105]2023     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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