We perform hybrid Monte Carlo simulation of lattice QCD with Nf = 2+1+1 optimal domain-wall quarks on the 323 × 64 lattice with lattice spacing a ~ 0:06 fm, and generate a gauge ensemble with physical s and c quarks, and pion mass ~ 280 MeV. Using 2-quark (meson) and 3-quark (baryon) interpolating operators, the mass spectra of the lowest-lying states containing s and c quarks (Ds and Ωc) are extracted [1], which turn out in good agreement with the high energy experimental values, together with the predictions of the charmed baryons which have not been observed in experiments. For the five new narrow c states observed by the LHCb Collaboration [2], the lowest-lying Ωc(3000) agrees with our predicted mass 3015(29)(34) MeV of the lowest-lying Ωc with JP = 1/2−. This implies that JP of Ωc(3000) is 1/2−.
Chiral symmetry and the residual mass in lattice QCD with the optimal domain-wall fermion
