Mass Spectra of D_s and Ω_c in Lattice QCD with N_f = 2 + 1 + 1 Domain-Wall Quarks

¹ Physics Department, National Taiwan University, Taipei 10617, Taiwan
² Physics Department, National Taiwan Normal University, Taipei 11617, Taiwan
³ Institute of Physics, Academia Sinica, Taipei 11529, Taiwan

^* Speaker, e-mail: twchiu@phys.ntu.edu.tw

Published online: 26 March 2018

Abstract

We perform hybrid Monte Carlo simulation of lattice QCD with N_f = 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 (D_s and Ω_c) 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 Ω_c(3000) agrees with our predicted mass 3015(29)(34) MeV of the lowest-lying Ω_c with J^P = 1/2⁻. This implies that J^P of Ω_c(3000) is 1/2⁻.