X(3872) boson: Molecule or charmonium

It has been argued that the mystery boson X(3872) is a molecule state consisting of primarily D-0(D) over bar (*0)+(D) over bar D-0(*0). In contrast, apparent puzzles and potential difficulties have been pointed out for the charmonium assignment of X(3872). We examine several aspects of these alternatives by semiquantitative methods since quantitatively accurate results are often hard to reach on them. We point out that some of the observed properties of X(3872), in particular the binding and the production rates, are incompatible with the molecule interpretation. Despite puzzles and obstacles, X(3872) may fit more likely to the excited P-3(1) charmonium than to the molecule after the mixing of c (c) over bar with D (D) over bar (*)+(D) over barD(*) is taken into account.