Hadron interactions from SU(2) lattice QCD

We evaluate interhadron interactions in quenched two-color lattice QCD from Bethe-Salpeter amplitudes, concentrating on S-wave scattering states of two scalar diquarks (uC{gamma}5d). Between two identical scalar diquarks, we observe repulsion in short-range region. We define and evaluate the 'q...

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Hauptverfasser: Takahashi, Toru T., Kanada-En'yo, Yoshiko
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:We evaluate interhadron interactions in quenched two-color lattice QCD from Bethe-Salpeter amplitudes, concentrating on S-wave scattering states of two scalar diquarks (uC{gamma}5d). Between two identical scalar diquarks, we observe repulsion in short-range region. We define and evaluate the 'quark-exchange part' in the interaction, which is induced by adding quark-exchange diagrams, or equivalently, by introducing Pauli blocking among some of quarks. The repulsive force in short-distance region arises only from the 'quark-exchange part', and disappears when quark-exchange diagrams are omitted, which is qualitatively consistent with the constituent-quark model picture that a color-magnetic interaction among quarks is the origin of repulsion. We also find a universal long-range attractive force, which enters in any flavor channels of two scalar diquarks and whose interaction range and strength are quark-mass independent.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.3647375