Nucleon form factors and root-mean-square radii on a (10.8 fm)4 lattice at the physical point
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We present the nucleon form factors and root-mean-square (RMS) radii measured on a (10.8 fm)4 lattice at the physical point. We compute the form factors at small momentum transfer region in q2≤0.102 GeV2 with the standard plateau method choosing four source-sink separation times tsep from 0.84 to 1.35 fm to examine the possible excited state contamination. We obtain the electric and magnetic form factors and their RMS radii for not only the isovector channel but also the proton and neutron ones without the disconnected diagram. We also obtain the axial-vector coupling and the axial radius from the axial-vector form factor. We find that these three form factors do not show large tsep dependence in our lattice setup, and those RMS radii are consistent with the experimental values. On the other hand, the induced pseudoscalar and pseudoscalar form factors show the clear effects of the excited state contamination, which affect the generalized Goldberger-Treiman relation.
- Physical review D
Physical review D 99(1), 014510, 2019-01
American Physical Society