The static three-quark SU(3) and four-quark SU(4) potentials
C. Alexandrou (University of Cyprus), Ph. de Forcrand (ETH Zurich and, CERN), A. Tsapalis (University of Athens)
TL;DR
This paper investigates static three- and four-quark potentials in SU(3) and SU(4) lattice QCD, finding results consistent with two-body potential sums and supporting the Δ ansatz for baryonic area law.
Contribution
It provides lattice QCD calculations of multi-quark potentials, demonstrating their consistency with two-body interactions and supporting the Δ ansatz.
Findings
Potentials are consistent with a sum of two-body potentials.
Results support the Δ ansatz for baryonic area law.
Weak many-body components may be present.
Abstract
We present results on the static three- and four-quark potentials in SU(3) and SU(4) respectively within quenched lattice QCD. We use an analytic multi-hit procedure for the time links and a variational approach to determine the ground state. The three- and four-quark potentials extracted are consistent with a sum of two-body potentials, possibly with a weak many-body component. The results give support to the ansatz for the baryonic area law.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Nuclear physics research studies · Particle physics theoretical and experimental studies