Spectrum and Bethe-Salpeter amplitudes of Ω baryons from lattice QCDThe numerical calculations were carried out on Tianhe-1A at the National Supercomputer Center (NSCC) in Tianjin. Supported by National Science Foundation of China (NSFC) (11105153, 11335001, 11405053), Youth Innovation Promotion Association of CAS, NSFC (11261130311) (CRC 110 by DFG and NSFC)

The Ω baryons with JP = 3/2±, 1/2± are studied on the lattice in the quenched approximation. Their mass levels are ordered as M3/2+ < M3/2− ≈ M1/2− < M1/2+, as is expected from the constituent quark model. The mass values are also close to those of the four Ω states observed in experiments. We calculate the Bethe-Salpeter amplitudes of Ω(3/2+) and Ω(1/2+) and find there is a radial node for the Ω(1/2+) Bethe-Salpeter amplitude, which may imply that Ω(1/2+) is an orbital excitation of Ω baryons as a member of the supermultiplet in the SU(6) ⊗ O(3) quark model description. Our results are helpful for identifying the quantum numbers of experimentally observed Ω states.