Quark motional effects on the interquark potential in baryons

Abstract

We study the heavy-heavy-light quark ($QQq$) system in a non-relativistic potential model, and investigate the quark motional effect on the inter-two-quark potential in baryons. We adopt the Hamiltonian with the static three-quark potential which is obtained by the first-principle calculation of lattice QCD, rather than the two-body force in ordinary quark models. Using the renormalization-group inspired variational method in discretized space, we calculate the ground-state energy of $QQq$ systems and the light-quark spatial distribution. We find that the effective string tension between the two heavy quarks is reduced compared to the static three-quark case. This reduction of the effective string tension originates from the geometrical difference between the inter-quark distance and the flux-tube length, and is conjectured to be a general property for baryons.

7 pages, 6 figures

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Cited by in corpus (8)

• Electromagnetic structure of charmed baryons in Lattice QCD
• Electromagnetic properties of doubly charmed baryons in Lattice QCD
• Stability of the pentaquark in a naive string model
• First study of the three-gluon static potential in Lattice QCD
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Lattice QCD study of the heavy-heavy-light quark potential
• Heavy-heavy-light quark potential in SU(3) lattice QCD
• Inter-Quark Potentials in Baryons and Multi-Quark Systems in QCD