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@ARTICLE{Bulava:481685,
author = {Bulava, John and Hanlon, Andrew D. and Hörz, Ben and
Morningstar, Colin and Nicholson, Amy and Romero-López,
Fernando and Skinner, Sarah and Vranas, Pavlos and
Walker-Loud, André},
title = {{E}lastic nucleon-pion scattering at $m_{\pi} \approx
200~{\rm {M}e{V}}$ from lattice {QCD}},
reportid = {PUBDB-2022-04523, DESY-22-140. arXiv:2208.03867.
MIT-CTP/5455},
year = {2022},
note = {35 pages, 15 figures},
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.},
keywords = {error, statistical (INSPIRE) / expansion, effective range
(INSPIRE) / quark, mass (INSPIRE) / quark, flavor (INSPIRE)
/ lattice field theory (INSPIRE) / scattering length
(INSPIRE) / finite size (INSPIRE) / partial wave (INSPIRE) /
Delta(1232) (INSPIRE) / excited state (INSPIRE) / scattering
amplitude (INSPIRE) / energy levels (INSPIRE) / gauge field
theory (INSPIRE) / lattice (INSPIRE) / isospin (INSPIRE) /
scattering (INSPIRE) / lattice QCD (autogen) / scattering
amplitudes (autogen)},
cin = {$Z_APR$},
cid = {$I:(DE-H253)Z_APR-20201126$},
pnm = {611 - Fundamental Particles and Forces (POF4-611)},
pid = {G:(DE-HGF)POF4-611},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2208.03867},
howpublished = {arXiv:2208.03867},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2208.03867;\%\%$},
doi = {10.3204/PUBDB-2022-04523},
url = {https://bib-pubdb1.desy.de/record/481685},
}