If X(3872) is described by the picture as a mixture of the charmonium and molecular D*D states; Y(3940) as a mixture of the χc0 and D*D* states; and Y(4260) as a mixture of the tetraquark and charmonium states, their orthogonal combinations should also exist. We estimate the mass and residues of the states within the QCD sum rules method. We find that the mass splitting among X, Y and their orthogonal states is at most 200 MeV. Experimental search of these new states can play critical role for establishing the nature of the new charmonium states.