IS THE X(3872) A MOLECULE?

Because of the controversial X(3872) meson's very close proximity to the D-0(D) over bar (*0) threshold, this charmonium-like resonance is often considered a meson-meson molecule. However, a molecular wave function must be essentially of a meson-meson type, viz. D-0(D) over bar (*0) in this case, with no other significant components. We address this issue by employing a simple two-channel Schrodinger model, in which the J(PC) = 1(++) c (c) over bar and D-0(D) over bar (*0) channels can communicate via the P-3(0) mechanism, mimicked by string breaking at a sharp distance a. Thus, wave functions and their probabilities are computed, for different bound-state pole positions approaching the D-0(D) over bar (*0) threshold from below. We conclude that at the PDG X(3872) mass and for reasonable values of a, viz. 2.0-3.0 GeV-1, the c (c) over bar component remains quite substantial and certainly not negligible, despite accounting for only about 6-10% of the total wave-function probability, owing to the naturally long tail of the D-0(D) over bar (*0) component. DOI:10.5506/APhysPolBSupp.5.1015