Charmonium and Bottomonium from Classical SU(3) Gauge Configurations

The charmonium and bottomonium spectra computed from a potential defined from a single gauge configuration, obtained from solving the classical field equations, is discussed. The theoretical spectra shows good agreement with the measured states. A discussion of possible interpretations, within the same non-relativistic potential model, for the new charmonia states X(3872), $\chi_{c1} (2P)$ and Y(4260) is performed. In particular, we give predictions for electromagnetic E1 transitions for various scenarios.Comment: Talk given at "Quark Confinement and the Hadron Spectrum VII", Ponta Delgada, Sao Miguel, Azores, Portugal, Sept. 2-7, 200

Heavy Quarkonia from Classical SU(3) Yang-Mills Configurations

A generalized Cho-Faddeev-Niemi ansatz for SU(3) Yang-Mills is investigated. The corresponding classical field equations are solved for its simplest parametrization. From these solutions it is possible to define a confining central non-relativistic potential used to study heavy quarkonia. The associated spectra reproduces the experimental spectra with an error of less than 3% for charmonium and 1% for bottomonium. Moreover, the recently discovered new charmonium states can be accomodate in the spectra, keeping the same level of precision. The leptonic width show good agreement with the recent measurements. The charmonium and bottomonium E1 electromagnetic transitions widths are computed and compared with the experimental values.Comment: 3 pages. Talk at QNP06, 5th-10th June, Madrid, Spai