Elastic nucleon-pion scattering at $m_π$ = 200 MeV from lattice QCD

Bulava, John; Morningstar, Colin; Hanlon, Andrew D.; Walker-Loud, André; Hörz, Ben; Skinner, Sarah; Romero-López, Fernando; Vranas, Pavlos; Nicholson, Amy

doi:10.1016/j.nuclphysb.2023.116105

Journal Article

PUBDB-2023-07053

Elastic nucleon-pion scattering at $m_π$ = 200 MeV from lattice QCD

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

2023
North-Holland Publ. Co. Amsterdam

Nuclear physics / B 987, 116105 (2023) [10.1016/j.nuclphysb.2023.116105]

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Please use a persistent id in citations: doi:10.1016/j.nuclphysb.2023.116105 doi:10.3204/PUBDB-2023-07053

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 $m_π$ = 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=3/2p-wave containing the $Δ$(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 scattering length is somewhat less precisely evaluated. Systematic errors due to excited states and the influence of higher partial waves are controlled, providing a step toward future computations down to physical light quark masses with multiple lattice spacings and 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

Classification:

ddc:530

Note: ISSN 0550-3213 not unique: **2 hits**.33 pages, 16 figures; version accepted for publication

Contributing Institute(s):

Bereich BRef APR (Z_AP_APR)

Research Program(s):

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

Experiment(s):

No specific instrument

Appears in the scientific report 2023

Database coverage:
Medline

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