Abstract

We derive an energy‐independent and non‐local potential for the baryon‐baryon interaction from the Nambu‐Bethe‐Salpeter amplitude on the lattice. The method is applied to the nucleon‐nucleon interactions with the (2+1)‐flavor lattice QCD simulations. The central and tensor potentials are obtained as leading order terms of the velocity expansion of the non‐local potential: The central potential has a repulsive core surrounded by an attractive well, while the tensor potential has intermediate and long range attractions. Validity of the velocity expansion is tested by the nucleon‐nucleon interaction with finite relative momentum. Interactions among octet‐baryons in the flavor SU(3) limit are also studied in full QCD simulations to unravel the origin of the repulsive core and the possible existence of H‐dibaryon.

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