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We present the nucleon form factors and root-mean-square (RMS) radii measuredon a (10.8 fm$)^4$ lattice at the physical point. We compute the form factorsat small momentum transfer region in $q^2\le 0.102$ GeV$^2$ with the standardplateau method choosing four source-sink separation times $t_{\rm sep}$ from0.84 to 1.35 fm to examine the possible excited state contamination. We obtainthe electric and magnetic form factors and their RMS radii for not only theisovector channel but also the proton and neutron ones without the disconnecteddiagram. We also obtain the axial-vector coupling and the axial radius from theaxial-vector form factor. We find that these three form factors do not showlarge $t_{\rm sep}$ dependence in our lattice setup. On the other hand, theinduced pseudoscalar and pseudoscalar form factors show the clear effects ofthe excited state contamination, which affect the generalizedGoldberger-Treiman relation.

Nucleon form factors and root-mean-square radii on a (10.8 fm$)^4$ lattice at the physical point