Nucleon axial charge in 2+1-flavor dynamical DWF lattice QCD

The current status of some nucleon isovector observables, the vector charge, gV, axial charge, gA, quark momentum fraction, 〈x〉u−d, and quark helicity fraction, 〈x〉∆u−∆d, calculated using recent RBC/UKQCD 2+1-flavor dynamical domain-wall fermions (DWF) lattice QCD ensembles are re-ported: with Iwasaki gauge action at inverse lattice spacing, a−1, of about 1.7 GeV, linear lattice extent, L, of about 2.7 fm, pion mass, mpi, of about 420 and 330 MeV, and with Iwasaki×DSDR gauge action at a−1 of about 1.4 GeV, L of about 4.6 fm, and mpi of about 250 and 170 MeV. The calculations have been refined with enhanced statistics, in particular through successful ap-plication of the all-mode-averaging (AMA) technique for the 170- and 330-MeV ensembles. As a result, the precision agreement seen in the charge ratio, gA/gV, for 420-MeV and 250-MeV ensembles that share the finite-size scaling parameter mpiL of about 5.8 is more significant with new values of 1.17(2) and 1.18(4) respectively. We also studied the dependence on the source-sink separation in the lightest ensemble of 170-MeV, by comparing the cases with the separation of about 1.0 and 1.3 fm and did not see any dependence: contamination from the excited states are well under control in our choice of source and sink smearing. The axial charge, gA and the ratio, gA/gV, shows a long-range autocorrelation that extends the entire range of configurations that were so far analyzed, almost 700 hybrid Molecular Dynamics time, in the lightest ensemble of mpi = 170 MeV. The other observables do not show any autocorrelation with the interval of 16 trajectories