Systematic study of multiquark states: qqq-q(q)over-bar configuration

Group theoretic method for the systematic study of five-quark states with meson-baryon (q (q) over bar -q(3))configuration is developed. The calculation of matrix elements of many-body Hamiltonian is simplified by transforming the physical bases (meson-baryon quark cluster bases) to symmetry bases ( group chain classified bases), where the fractional parentage expansion method can be used. Three quark models, the Glashow-Isgur naive model, the Salamanca chiral quark model, and the quark delocalization color screening model, are used to show the general applicability of the method and general results of constituent quark models for five-quark states are given. The method is also useful in the study of the five-quark components effect in baryon structure, the calculation of meson-baryon scattering, and the meson-baryon open channel coupling effect on baryon resonances. The physical contents of different model configurations for the same five-quark system can also be compared through the transformation between different physical bases to the same set of symmetry bases.