Four-quark flux distribution and binding in lattice SU(2)

Abstract

The full spatial distribution of the color fields of two and four static quarks is measured in lattice SU(2) field theory at separations up to 1 fm at beta=2.4. The four-quark case is equivalent to a qbar q qbar q system in SU(2) and is relevant to meson-meson interactions. By subtracting two-body flux tubes from the four-quark distribution we isolate the flux contribution connected with the four-body binding energy. This contribution is further studied using a model for the binding energies. Lattice sum rules for two and four quarks are used to verify the results.

arXiv comment46 pages including 71 eps figures. 3D color figures are available at www.physics.helsinki.fi/~ppennane/pics/

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• Lattice QCD study of the heavy-heavy-light quark potential
• Heavy-heavy-light quark potential in SU(3) lattice QCD
• The Charge and Matter radial distributions of Heavy-Light mesons calculated on a lattice
• Interactions of multi-quark states in the chromodielectric model
• Fourier analysis of the flux-tube distribution in SU(3) lattice QCD
• $q\bar{q}$ and $2q2\bar{q}$ systems in terms of P-vortices