Three-body confinement force in a realistic constituent quark model

Details Three-body confinement force in a realistic constituent quark model Three-body confinement force in a realistic constituent quark model

2002-06-19

arxiv.org/abs/hep-ph/0206175v3

Nucl.Phys. A726 (2003) 327-338

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 3 figures, revised version to appear in Nucl. Phys. A

Scientific paper

10.1016/j.nuclphysa.2003.07.011

We show that in realistic constituent quark models based on a two-body confinement interaction color states appear in the middle of the experimentally known spectrum. To avoid this situation we implement a three-body confinement interaction, introduced on an algebraic basis, into a semirelativistic version of the Goldstone-boson-exchange constituent quark model and by solving the Faddeev equations we show that this interaction can increase the gap between singlet and colour states, such as the latter can be ignored and the known baryons can be described as $q^3$ systems. We analyze the effect of a $\Delta$- and a Y-shape three-body interaction.

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