Delicate interplay between the D0-D*0, rho0-J/psi, and omega-J/psi channels in the X(3872) resonance

Abstract

The nature of the X(3872) enhancement is analysed in the framework of the Resonance-Spectrum Expansion, by studying it as a regular $J^{PC}=1^{++}$ charmonium state, though strongly influenced and shifted by open-charm decay channels. The observed but Okubo-Zweig-Iizuka-forbidden ${\rho }^{0}J/\psi$ and $\omega J/\psi$ channels are coupled as well, but effectively smeared out by using complex ${\rho }^0$ and $\omega$ masses, in order to account for their physical widths, followed by a rigorous algebraic procedure to restore unitarity. A very delicate interplay between the $D^0{D}^{\ast 0}$, ${\rho }^{0}J/\psi$, and $\omega J/\psi$ channels is observed. The data clearly suggest that the X(3872) is a very narrow axial-vector $c\bar{c}$ resonance, with a pole at or slightly below the $D^0{D}^{\ast 0}$ threshold.

Comments: v1: 5 pages, 5 figures (7 plots), 2 tables, RevTeX4. v2: 6 pages, 6 figures (9 plots), 2 tables, SVJOUR; substantial revisions, in particular the added omega-J/psi channel; more references. v3: further clarifications added to the text; version accepted for publication in Eur. Phys. J. C