Heavy quarkonia from classical SU(3) Yang-Mills configurations
Centro de Fısica Computacional, Universidade de Coimbra, 3004 516, Coimbra, Portugal
Accepted: 30 November 2006
Published online: 14 March 2007
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 non-relativistic central 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 widths show good agreement with the recent measurements. The charmonium and bottomonium E1 electromagnetic transitions widths are computed and compared with the experimental values.
PACS: 12.39.Pn Potential models – / 12.38.Lg Other nonperturbative calculations – / 12.38.-t Quantum chromodynamics –
© Società Italiana di Fisica and Springer-Verlag, 2007