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We show the first lattice QCD results on the axial charges $g_A^{N^*N^*}$ of$N^*(1535)$ and $N^*(1650)$. The measurements are performed with two flavors ofdynamical quarks employing the renormalization-group improved gauge action at$\beta$=1.95 and the mean-field improved clover quark action with the hoppingparameters, $\kappa$=0.1375, 0.1390 and 0.1400. We construct 2$\times$2correlation matrices and diagonalize them so that the signals of $N^*(1535)$and $N^*(1650)$ are properly separated. Wraparound contributions in thecorrelator, which can be another source of signal contaminations, areeliminated by imposing the Dirichlet boundary condition in the temporaldirection. The axial charge of $N^*(1535)$ is found to take small values as$g_A^{N^*N^*}\sim {\mathcal O}(0.1)$, whereas that of $N^*(1650)$ isapproximately 0.5, which is almost independent of quark masses and consistentwith the predictions by the naive nonrelativistic quark model.

Two-flavor lattice QCD study of the axial charges of N(1535) and N(1650)