Heavy quark potential and quarkonia dissociation rates
Fakultät für Physik, Universität Bielefeld, 33615, Bielefeld, Germany
2 Bogoliubov Laboratory of Theoretical Physics, JINR Dubna, 141980, Dubna, Russia
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Revised: 8 June 2005
Published online: 15 July 2005
Quenched lattice data for the interaction (in terms of heavy quark free energies) in the color-singlet channel at finite temperatures are fitted and used within the non-relativistic Schrödinger equation formalism to obtain binding energies and scattering phase shifts for the lowest eigenstates in the charmonium and bottomonium systems in a hot gluon plasma. The partial dissociation rate due to the Bhanot-Peskin process is calculated using different assumptions for the gluon distribution function, including free massless gluons, massive gluons, and massive damped gluons. It is demonstrated that a temperature dependent gluon mass has an essential influence on the heavy quarkonia dissociation, but that this process alone is insufficient to describe the heavy quarkonia dissociation rates.
© Springer-Verlag, 2005