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Abstract
In this Letter the exact wave functions of a model four-quark system in SU (2) color are calculated for spinless but isospinor quarks in Schrödinger equation as an analogue to the actual six-quark problem in SU (3) color which arises naturally in the study of dibaryon states. This model four-quark problem is shown to be exactly soluble for the admissible states of isospin I =2 provided that the pairwise interactions between the quarks are supplemented by some four-body counter terms (interpreted as four-body forces). This model correctly simulates the color with orbital structure expected of the corresponding fermionic 4 N problem. Further the possible exact solutions such as these can prove to be useful as test cases for the study of the full q 6 problem in SU (3) color with spin-dependent forces.
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