Cubic Casimir operator of SU$_C$(3) and confinement in the nonrelativistic quark model

dc.creatorDmitrasinovic, V.
dc.date2000-12-31
dc.date.accessioned2026-07-07T11:31:02Z
dc.date.available2026-07-07T11:31:02Z
dc.descriptionOnly two-body [${\rm F}_{i} \cdot {\rm F}_{j}$] confining potentials have been considered, thus far, in the quark model without gluons, which by construction can only depend on the quadratic Casimir operator of the colour SU(3) group. A three-quark potential that depends on the cubic Casimir operator is added to the quark model. This results in improved properties of $q^3$ colour non-singlet states, which can now be arranged to have (arbitrarily) higher energy than the singlet, and the "colour dissolution/anticonfinement" problem of the ${\rm F}_{i} \cdot {\rm F}_{j}$ model is avoided.
dc.description10 pages, 2 tables, RevTex, to appear in Phys. Lett. B
dc.identifierhttps://arxiv.org/abs/hep-ph/0101007
dc.identifierhttp://arxiv.org/abs/hep-ph/0101007
dc.identifierPhys.Lett.B499:135-140,2001
dc.identifierdoi:10.1016/S0370-2693(01)00008-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197142
dc.subjectHigh Energy Physics - Phenomenology
dc.titleCubic Casimir operator of SU$_C$(3) and confinement in the nonrelativistic quark model
dc.typetext

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