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000481685 005__ 20231126011158.0
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000481685 0247_ $$2arXiv$$aarXiv:2208.03867
000481685 0247_ $$2datacite_doi$$a10.3204/PUBDB-2022-04523
000481685 037__ $$aPUBDB-2022-04523
000481685 041__ $$aEnglish
000481685 088__ $$2DESY$$aDESY-22-140
000481685 088__ $$2arXiv$$aarXiv:2208.03867
000481685 088__ $$2Other$$aMIT-CTP/5455
000481685 1001_ $$0P:(DE-H253)PIP1010758$$aBulava, John$$b0$$eCorresponding author$$udesy
000481685 245__ $$aElastic nucleon-pion scattering at $m_{\pi} \approx 200~{\rm MeV}$ from lattice QCD
000481685 260__ $$c2022
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000481685 500__ $$a35 pages, 15 figures
000481685 520__ $$aElastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with $N_f = 2+1$ dynamical quark flavors and $m_{\pi}$ = 200 MeV. The $s$-wave scattering lengths with both total isospins $I=1/2$ and $I=3/2$ are inferred from the finite-volume spectrum below the inelastic threshold together with the $I=3/2$ $p$-wave containing the $\Delta(1232)$ resonance. The amplitudes are well-described by the effective range expansion with parameters constrained by fits to the finite-volume energy levels enabling a determination of the $I=3/2$ scattering length with statistical errors below $5\%$, while the $I = 1/2$ is somewhat less precise. Systematic errors due to excited states and the influence of higher partial waves are controlled, providing a pathway for future computations down to the physical light quark masses with multiple lattice spacings and physical volumes.
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000481685 650_7 $$2INSPIRE$$aerror, statistical
000481685 650_7 $$2INSPIRE$$aexpansion, effective range
000481685 650_7 $$2INSPIRE$$aquark, mass
000481685 650_7 $$2INSPIRE$$aquark, flavor
000481685 650_7 $$2INSPIRE$$alattice field theory
000481685 650_7 $$2INSPIRE$$ascattering length
000481685 650_7 $$2INSPIRE$$afinite size
000481685 650_7 $$2INSPIRE$$apartial wave
000481685 650_7 $$2INSPIRE$$aDelta(1232)
000481685 650_7 $$2INSPIRE$$aexcited state
000481685 650_7 $$2INSPIRE$$ascattering amplitude
000481685 650_7 $$2INSPIRE$$aenergy levels
000481685 650_7 $$2INSPIRE$$agauge field theory
000481685 650_7 $$2INSPIRE$$alattice
000481685 650_7 $$2INSPIRE$$aisospin
000481685 650_7 $$2INSPIRE$$ascattering
000481685 650_7 $$2autogen$$alattice QCD
000481685 650_7 $$2autogen$$ascattering amplitudes
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000481685 7001_ $$0A.D.Hanlon.1$$aHanlon, Andrew D.$$b1
000481685 7001_ $$0B.Horz.1$$aHörz, Ben$$b2
000481685 7001_ $$0C.Morningstar.1$$aMorningstar, Colin$$b3$$eCorresponding author
000481685 7001_ $$0Amy.N.Nicholson.1$$aNicholson, Amy$$b4
000481685 7001_ $$0F.Romero.Lopez.1$$aRomero-López, Fernando$$b5$$eCorresponding author
000481685 7001_ $$0S.Skinner.1$$aSkinner, Sarah$$b6$$eCorresponding author
000481685 7001_ $$0P.M.Vranas.1$$aVranas, Pavlos$$b7
000481685 7001_ $$0A.P.Walker.Loud.1$$aWalker-Loud, André$$b8
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000481685 9141_ $$y2022
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