Abstract

We study hadronic interactions from Bethe-Salpeter amplitudes in quenched two-color lattice QCD, concentrating on the interactions of two scalar diquarks (uCγ5d) in S-wave scattering states. Between two identical scalar diquarks, we observe repulsive force in short-range region. By defining and evaluating the "quark-exchange part" in the interaction, which is induced by quark-exchange diagrams, or equivalently, by introducing Pauli blocking among some of quarks, we find that the repulsive force in short-distance region arises purely from the "quark-exchange part" and that it disappears when quark-exchange diagrams are omitted. It is qualitatively consistent with the constituent-quark model picture that the origin of short-range repulsion is a color-magnetic interaction among quarks. We also find a novel long-ranged attractive force, which enters in any flavor channels of two scalar diquarks and whose interaction range and strength are quark-mass independent.

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