The X(4260) and possible confirmation of psi(3D), psi(5S), psi(4D), psi(6S) and psi(5D) in J/psi pi+ pi-

Understand

Data on e+ e- --> J/psi pi+ pi- and the X(4260) enhancement by the BABAR collaboration [ arXiv:hep-ex/0506081, arXiv:0808.1543 ] are analysed by modelling missing signals that should be present in the complete production amplitude with vector quantum numbers in the charmonium region.

• Thus, it is shown that the data contain evidence for the existence of the psi(5S), the psi(4D), the psi(6S) and the psi(5D) c-cbar vector states, and furthermore a clear indication for the mass and width of the psi(3D).
• Moreover, it is shown that signs of the psi(3S), psi(2D) and psi(4S) can be observed in the same data.
• Finally, it is argued that the X(4260) enhancement is not a resonance, but rather a phenomenon connected with the opening of the D(s)(*)-Dbar(s)(*) threshold and the coupling to the J/psi f(0)(980) channel.