Evolution of relativistic multiquark systems

The short-distance behavior of multiquark wavefunctions can be systemati- cally computed in perturbative &CD. In this paper we analyze the wavefunc- tion of a four-quark color-singlet bound state in SU(2)c as an analogue to the six-quark problem in QCD. We first solve the QCD evolution equation for the multi-quark distribution amplitude at short distances in the basis of com- pletely antisymmetrized quark representations. The eigensolutions of the evo- lution kernel correspond to a spectrum of candidate states of the relativistic multi-quark system. We then connect the four-quark antisymmetric representa- tions and the eigensolutions to the physical two-cluster basis of SU(2)c dibaryon (NN, NA, AA) and hidden color (CC) components and derive constraints on the effective nuclear potential between two clusters. We also find anomalous states in the spectrum which cannot exist without substantial hidden-color de- grees of freedom.