Proton momentum and angular momentum decompositions with overlap fermions

We present a calculation of the proton momentum and angular decompositions using overlap fermions on $2+1$-flavor RBC/UKQCD domain-wall lattice at 0.143 fm with pion mass 171 MeV which is close to physical one. A complete determination fractions carried by up, down, strange, glue inside has been done valence masses varying from 391 MeV. have utilized fast Fourier transform stochastic-sandwich method for connected-insertion parts cluster-decomposition error reduction technique disconnected-insertion used reduce statistical errors. The full nonperturbative renormalization mixing between quark operators are out. final results normalized sum rules reported $\overline{\mathrm{MS}}(\ensuremath{\mu}=2\text{ }\text{ }\mathrm{GeV})$. renormalized quarks $⟨x{⟩}^{q}=0.491(20)(23)$ $⟨x{⟩}^{g}=0.509(20)(23)$, respectively, total $2{J}^{q}=0.539(22)(44)$ $2{J}^{g}=0.461(22)(44)$, respectively. spin fraction $\mathrm{\ensuremath{\Sigma}}=0.405(25)(37)$ our previous work orbital deduced $2{L}^{q}=2{J}^{q}\ensuremath{-}\mathrm{\ensuremath{\Sigma}}$ be 0.134(22)(44).