Cubic Casimir operator of SUc(3) and confinement in the nonrelativistic quark model

被引:38
作者
Dmitrasinovic, V
机构
[1] Vinca Inst Nucl Sci, YU-11001 Belgrade, Yugoslavia
[2] Osaka Univ, Nucl Phys Res Ctr, Ibaraki, Osaka 5600047, Japan
关键词
D O I
10.1016/S0370-2693(01)00008-9
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Only two-body [F-i.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 nonsinglet states, which can now be arranged to have (arbitrarily) higher energy than the singlet, and the "colour dissolution/anticonfinement" problem of the F-i.F-j model is avoided. (C) 2001 Elsevier Science B,V. All rights reserved.
引用
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页码:135 / 140
页数:6
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