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arxiv: hep-lat/0110115 · v1 · pith:H7AQ5XAInew · submitted 2001-10-15 · ✦ hep-lat

Static three- and four-quark potentials

classification ✦ hep-lat
keywords baryonicfour-quarkpotentialsresultsstaticthree-accuracyansatz
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We present results for the static three- and four-quark potentials in SU(3) and SU(4) respectively. Using a variational approach, combined with multi-hit for the time-like links, we determine the ground state of the baryonic string with sufficient accuracy to test the $Y-$ and $\Delta-$ ans\"atze for the baryonic Wilson area law. Our results favor the $\Delta$ ansatz, where the potential is the sum of two-body terms.

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