Chiral extrapolations for nucleon magnetic moments

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2012

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Hall, J.
Leinweber, D.
Young, R.

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Journal article

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Physical Review D: Particles, Fields, Gravitation and Cosmology, 2012; 85(9):094502:1-094502:8

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J. M. M. Hall, D. B. Leinweber, and R. D. Young

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Abstract

Lattice QCD simulations have made significant progress in the calculation of nucleon electromagnetic form factors in the chiral regime in recent years. With simulation results achieving pion masses of order ∼180  MeV, there is an apparent challenge as to how the physical regime is approached. By using contemporary methods in chiral effective field theory (χEFT), both the quark-mass and finite-volume dependence of the isovector nucleon magnetic moment are carefully examined. The extrapolation to the physical point yields a result that is compatible with experiment, albeit with a combined statistical and systematic uncertainty of ±10%. The extrapolation shows a strong finite-volume dependence; lattice sizes of L>5  fm must be used to simulate results within 2% of the infinite-volume result for the magnetic moment at the physical pion mass.

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PACS numbers: 12.38.Gc, 12.38.Aw, 12.39.Fe, 13.40.Em

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©2012 American Physical Society

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