A T-Matrix Approach to Charmonium Bound and Scattering States

This poster will give an overview of the temperature evolution of the charmonium particle in the Quark-Gluon Plasma (QGP). This evaluation was done through the use of a Transition (T-) Matrix in the S wave channel incorporating a two particle propagator and a momentum dependent interacting potential. The temperature dependence manifests itself in the potential coupling constant, single particle effective mass, and the single particle self-energy. The T-Matrix aptly demonstrates the in medium effects on the bound state, namely where it occurs and the dissolution into the continuum at high temperatures. The T-Matrix is then further applied to calculate the charmonium Spectral Function and Euclidean Time Correlator with a zero energy mode contribution. By normalizing the Euclidean Time Correlator with a reference function, the sensitivity of the bound and scattering states to temperature is demonstrated. Finally, the effects of the zero energy mode contribution to the charmonium particle is explored.