QCD color interactions between two quarks

Abstract

We study the QCD color interactions between static two heavy quarks at zero temperature in a quenched SU(3) lattice gauge simulation: in addition to the standard singlet $q\bar{q}$ potentials, we calculate octet $q\bar{q}$ potentials, symmetric and antisymmetric $qq$ potentials. It is shown that the antisymmetric $qq$ channel behaves as a linearly rising potential at large quark separations. We further find that the $q\bar{q}$ octet and $qq$ symmetric channels have the complex dependence on the distance; at short distances they are repulsive forces, while at large distances, they show linearly rising feature. Ratio of string tensions between $q\bar{q}$ singlet and $qq$ antisymmetric potentials is described in terms of the Casimir factor.

References in corpus (1)

• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies

Cited by in corpus (17)

• Parton-Hadron-String Dynamics: an off-shell transport approach for relativistic energies
• Heavy-quark symmetry implies stable heavy tetraquark mesons $Q_i{Q}_j{\bar{q}}_k{\bar{q}}_l$
• The QCD Running Coupling
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Quarkonia and Heavy-Quark Relaxation Times in the Quark-Gluon Plasma
• Color Screening and Quark-Quark Interactions in Finite Temperature QCD
• Symmetries and Systematics of Doubly Heavy Hadrons
• Color confinement in Coulomb gauge QCD
• Color screening potential at finite density in two-flavor lattice QCD with Wilson fermions
• Doubly Heavy Tetraquarks in the Chiral Quark Soliton Model
• On the smooth cross-over transition from the Delta-string to the Y-string three-quark potential
• T-matrix approach to heavy quark diffusion in the QGP
• The volume dependence of the long-range two-body potentials in various color channels by lattice QCD
• Lattice QCD analysis for Faddeev-Popov eigenmodes in terms of gluonic momentum components in the Coulomb gauge
• A Novel Mechanism for $J/\psi$ Disintegration in Relativistic Heavy Ion Collisions
• An Estimate of the Inclusive Branching Ratio to ${\bar{B}}_c$ in ${\Xi }_{bbq}$ Decay
• A New Method for Calculating the Energies Associated with Particle Reactions