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• W2104603839 abstract "We report our numerical lattice QCD calculations of the isovector nucleon form factors for the vector and axial-vector currents: the vector, induced tensor, axial-vector, and induced pseudoscalar form factors. The calculation is carried out with the gauge configurations generated with ${N}_{f}=2+1$ dynamical domain-wall fermions and Iwasaki gauge actions at $ensuremath{beta}=2.13$, corresponding to a cutoff ${a}^{ensuremath{-}1}=1.73text{ }text{ }mathrm{GeV}$, and a spatial volume of $(2.7text{ }text{ }mathrm{fm}{)}^{3}$. The up and down-quark masses are varied so the pion mass lies between 0.33 and 0.67 GeV while the strange quark mass is about 12% heavier than the physical one. We calculate the form factors in the range of momentum transfers, $0.2<{q}^{2}<0.75text{ }text{ }{mathrm{GeV}}^{2}$. The vector and induced tensor form factors are well described by the conventional dipole forms and result in significant underestimation of the Dirac and Pauli mean-squared radii and the anomalous magnetic moment compared to the respective experimental values. We show that the axial-vector form factor is significantly affected by the finite spatial volume of the lattice. In particular in the axial charge, ${g}_{A}/{g}_{V}$, the finite-volume effect scales with a single dimensionless quantity, ${m}_{ensuremath{pi}}L$, the product of the calculated pion mass and the spatial lattice extent. Our results indicate that for this quantity, ${m}_{ensuremath{pi}}L>6$ is required to ensure that finite-volume effects are below 1%." @default.
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• W2104603839 date "2009-06-29" @default.
• W2104603839 modified "2023-10-01" @default.
• W2104603839 title "Nucleon form factors with<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>flavor dynamical domain-wall fermions" @default.
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• W2104603839 doi "https://doi.org/10.1103/physrevd.79.114505" @default.
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