Two-baryonpotentials and H-dibaryon from 3-flavor lattice QCD simulations

概要

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Baryon–baryonpotentials are obtained from 3-flavor QCD simulations with the lattice volume L≃4 fm, the lattice spacing a≃0.12 fm, and the pseudo-scalar-meson mass Mps=469–1171 MeV. The NN scattering phase-shifts and the mass of H-dibaryon in the flavor SU(3) limit are extracted from the resultant potentials by solving the Schrödinger equation. The NN phase-shifts in the SU(3) limit is shown to have qualitatively similar behavior as the experimental data. A bound H-dibaryon in the SU(3) limit is found to exist in the flavor-singlet JP=0+ channel with the binding energy of about 26 MeV for the lightest quark mass Mps=469 MeV. Effect of flavor SU(3) symmetry breaking on the H-dibaryon is estimated by solving the coupled-channel Schrödinger equation for Μ–NΞ–ΣΣ with the physical baryon masses and the potential matrix obtained in the SU(3) limit: a resonant H-dibaryon is found between Μ and NΞ thresholds in this treatment.