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.

20 pages, 4 figures; closer to journal version