Lattice Results on the Connected Neutron Charge Radius

Abstract

We describe a calculation using quenched lattice QCD of the connected part of the neutron electric form factor for momentum transfers in the range $0.3\mathrm{Ge}{\mathrm{V}}^2\stackrel{<}{\sim }-q^2\stackrel{<}{\sim }1.0\mathrm{Ge}{\mathrm{V}}^2$. We extract the implied charge radius using a Galster parameterization and consider various ways of extrapolating the neutron charge radius value to the chiral limit. We find that the measured charge radii may be reconciled to experiment by standard phenomenology and lowest or next to lowest order contributions from chiral perturbation theory.

arXiv comment20 pages, 4 figures; closer to journal version

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• Nucleon electromagnetic form factors on the lattice and in chiral effective field theory
• Nucleon electromagnetic form factors from lattice QCD using a nearly physical pion mass
• Nucleon Electromagnetic Form Factors from Lattice QCD using 2+1 Flavor Domain Wall Fermions on Fine Lattices and Chiral Perturbation Theory
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