%0 Electronic Article
%A Bulava, John
%A Hanlon, Andrew D.
%A Hörz, Ben
%A Morningstar, Colin
%A Nicholson, Amy
%A Romero-López, Fernando
%A Skinner, Sarah
%A Vranas, Pavlos
%A Walker-Loud, André
%T Elastic nucleon-pion scattering at m<sub>π</sub>  ≈ 200 MeV from lattice QCD
%N DESY-22-140
%M PUBDB-2022-04523
%M DESY-22-140
%M arXiv:2208.03867
%M MIT-CTP/5455
%D 2022
%Z 35 pages, 15 figures
%X Elastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with N<sub>f</sub> = 2+1 dynamical quark flavors and m<sub>π</sub> = 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 ∆(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.
%K error, statistical (INSPIRE)
%K expansion, effective range (INSPIRE)
%K quark, mass (INSPIRE)
%K quark, flavor (INSPIRE)
%K lattice field theory (INSPIRE)
%K scattering length (INSPIRE)
%K finite size (INSPIRE)
%K partial wave (INSPIRE)
%K Delta(1232) (INSPIRE)
%K excited state (INSPIRE)
%K scattering amplitude (INSPIRE)
%K energy levels (INSPIRE)
%K gauge field theory (INSPIRE)
%K lattice (INSPIRE)
%K isospin (INSPIRE)
%K scattering (INSPIRE)
%K lattice QCD (autogen)
%K scattering amplitudes (autogen)
%F PUB:(DE-HGF)25
%9 Preprint
%R 10.3204/PUBDB-2022-04523
%U https://bib-pubdb1.desy.de/record/481685