TY  - EJOUR
AU  - Bulava, John
AU  - Hanlon, Andrew D.
AU  - Hörz, Ben
AU  - Morningstar, Colin
AU  - Nicholson, Amy
AU  - Romero-López, Fernando
AU  - Skinner, Sarah
AU  - Vranas, Pavlos
AU  - Walker-Loud, André
TI  - Elastic nucleon-pion scattering at m<sub>π</sub>  ≈ 200 MeV from lattice QCD
IS  - DESY-22-140
M1  - PUBDB-2022-04523
M1  - DESY-22-140
M1  - arXiv:2208.03867
M1  - MIT-CTP/5455
PY  - 2022
N1  - 35 pages, 15 figures
AB  - 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.
KW  - error, statistical (INSPIRE)
KW  - expansion, effective range (INSPIRE)
KW  - quark, mass (INSPIRE)
KW  - quark, flavor (INSPIRE)
KW  - lattice field theory (INSPIRE)
KW  - scattering length (INSPIRE)
KW  - finite size (INSPIRE)
KW  - partial wave (INSPIRE)
KW  - Delta(1232) (INSPIRE)
KW  - excited state (INSPIRE)
KW  - scattering amplitude (INSPIRE)
KW  - energy levels (INSPIRE)
KW  - gauge field theory (INSPIRE)
KW  - lattice (INSPIRE)
KW  - isospin (INSPIRE)
KW  - scattering (INSPIRE)
KW  - lattice QCD (autogen)
KW  - scattering amplitudes (autogen)
LB  - PUB:(DE-HGF)25
DO  - DOI:10.3204/PUBDB-2022-04523
UR  - https://bib-pubdb1.desy.de/record/481685
ER  -