Lattice QCD study of the heavy-heavy-light quark potential

Abstract

We study the heavy-heavy-light quark ($QQq$) potential in SU(3) quenched lattice QCD, and discuss one of the roles of the finite-mass valence quark in the inter-quark potential. Monte Carlo simulations are performed with the standard gauge action on the $16^4$ lattice at $\beta =6.0$ and the $O(a)$-improved Wilson fermion action at four hopping parameters. For statistical improvement, the gauge configuration is fixed with the Coulomb gauge. We calculate the potential energy of $QQq$ systems as a function of the inter-heavy-quark distance $R$ in the range of $R\le$ 0.8 fm. The $QQq$ potential is well described with a Coulomb plus linear potential, and the effective string tension between the two heavy quarks is significantly smaller than the string tension $\sigma \simeq 0.89$ GeV/fm. It would generally hold that the effect of the finite-mass valence quark reduces the inter-two-quark confinement force in baryons.

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Cited by in corpus (10)

• Heavy quarkonium: progress, puzzles, and opportunities
• Relevant energy scale of color confinement from lattice QCD
• Effective field theory for double heavy baryons at strong coupling
• Lattice analysis for the energy scale of QCD phenomena
• Effective QCD string and doubly heavy baryons
• First study of the three-gluon static potential in Lattice QCD
• Some Properties of the $QQq$-Quark Potential in String Models
• Studying the potential of QQq at finite temperature in a holographic model
• String breaking and running coupling of $\mathrm{Q}\bar{\mathrm{Q}}$ in a rotating media from holography
• Effective field theories for baryons with two- and three-heavy quarks