Two-baryon potentials and H-dibaryon from 3-flavor lattice QCD simulations

Baryon–baryon potentials are obtained from 3-flavor QCD simulations with the lattice volume image, the lattice spacing image, and the pseudo-scalar-meson mass image. The NN scattering phase-shifts and the mass of H-dibaryon in the flavor image limit are extracted from the resultant potentials by solving the Schrödinger equation. The NN phase-shifts in the image limit is shown to have qualitatively similar behavior as the experimental data. A bound H-dibaryon in the image limit is found to exist in the flavor-singlet image channel with the binding energy of about 26 MeV for the lightest quark mass image. Effect of flavor image symmetry breaking on the H-dibaryon is estimated by solving the coupled-channel Schrödinger equation for image with the physical baryon masses and the potential matrix obtained in the image limit: a resonant H-dibaryon is found between ΛΛ and NΞ thresholds in this treatment.