Inter-Quark Potentials in Baryons and Multi-Quark Systems in QCD

Details Inter-Quark Potentials in Baryons and Multi-Quark Systems in QCD Inter-Quark Potentials in Baryons and Multi-Quark Systems in QCD

2008-02-24

arxiv.org/abs/0802.3500v1

Mod.Phys.Lett.A23:2331-2339,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Invited talk at the international Conference on Chiral Symmetry in Hadron and Nuclear Physics (Chiral07) November 13-16, 2007,

Scientific paper

10.1142/S0217732308029320

We perform the first studies of various inter-quark potentials in SU(3)$_{\rm c}$ lattice QCD. From the accurate lattice calculation for more than 300 different patterns of three-quark (3Q) systems, we find that the static 3Q potential $V_{\rm 3Q}$ is well described by Y-Ansatz, i.e., the Coulomb plus Y-type linear potential. Quark confinement mechanism in baryons is also investigated in maximally-Abelian projected QCD. We next study the multi-quark potentials $V_{n{\rm Q}}$ ($n$=4,5) in SU(3)$_{\rm c}$ lattice QCD, and find that they are well described by the one-gluon-exchange Coulomb plus multi-Y type linear potential, which supports the flux-tube picture even for the multi-quarks. Finally, we study the heavy-heavy-light quark (QQq) potential both in lattice QCD and in a lattice-QCD-based quark model.

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