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

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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

Scientific paper

10.1103/PhysRevD.59.014504

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.

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