Extremal black disks in QCD

We argue that in the high energy QCD a true black disk wave function consists not only of many gluons but also from many quarks. This corresponds to necessity of nonvacuum reggeon loops in formation of a black disk. The result comes from decomposition of the black disk S-matrix in characters on group manifold. Usually black disk defined as some dense state, which absorbs any projectile. In this paper we consider case where black disk scatters in an external color field. Consider a collision of a conjectural black disk state |Ψ〉 with some other state named as target. We take small black disk and very large and dense target. The target is not necessary black disk but only one requirement that the classical fields generated by target must be much stronger then fields generated by black disk. In this case the S-matrix has form S = ∫