Nucleon Magnetic Moments, their Quark Mass Dependence and Lattice QCD Extrapolations

Details Nucleon Magnetic Moments, their Quark Mass Dependence and Lattice QCD Extrapolations Nucleon Magnetic Moments, their Quark Mass Dependence and Lattice QCD Extrapolations

2002-09-21

arxiv.org/abs/hep-lat/0209147v1

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, Latex, 3 ps figures, uses world-scientific style, talk given at Baryons 2002

Scientific paper

We calculate the quark mass dependence of both isovector and isoscalar anomalous magnetic moments of the nucleon in a chiral effective field theory with explicit pion, nucleon and Delta(1232) degrees of freedom to leading-one-loop order. In the isovector sector we fit 3 unknown couplings of the effective Lagrangian to available lattice data and obtain a surprisingly well-behaved extrapolation function connecting the chiral limit, experimental data and the lattice simulations. We also discuss the polynomial quark mass dependence in the isoscalar sector and finally compare with the Pade formula of the Adelaide group.

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