If the 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 X(4260) as a mixture of the tetra-quark and
charmonium sates, 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
200MeV. Experimental search of these new states can play critical role for
establishing the nature of the new charmonium states.Comment: 12 pages, 6 figures, LaTeX formatte