Abstract
We study the properties of charmonium states at finite temperature in quenched lattice QCD on large and fine isotropic lattices. We perform a detailed analysis of charmonium correlation and spectral functions both below and above Tc. Our analysis suggests that the S wave states disappear at about 1.5 Tc. The charm diffusion coeffcient is estimated and found to be approximately 1/πT at 1.5Tc ≲ T ≲ 3Tc.
Highlights
In the hot and deconfined QCD medium it has been conjectured that, unlike light mesons, the heavy mesons might survive and dissociate only at some higher temperature due to Debye screening [1]
The interpretation of experimental data, is not as straightforward and in order to disentangle the cold nuclear matter effects on the one hand and hot medium effects on the other, it is crucial to have a good understanding of the behavior of heavy quarks and quarkonia in the hot medium
As the heavy quark diffusion coefficient D can be related to the ratio of shear viscosity to entropy density η/s [4, 5], a non-perturbative estimate of D is highly desirable
Summary
In the hot and deconfined QCD medium it has been conjectured that, unlike light mesons, the heavy mesons might survive and dissociate only at some higher temperature due to Debye screening [1]. From the theoretical point of view, the meson spectral function at finite temperature [6] contains all the information on the hadron properties in the thermal medium. This explicitly includes the information on bound states and transport properties. As a consequence the non-perturbative computation of spectral functions is of key interest. See [7] for a recent overview and [8] for a more detailed and extended discussion
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