Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method

The bottomonium spectral functions at finite temperature are analyzed by employing QCD sum rules with the maximum entropy method. This approach enables us to extract the spectral functions without any phenomenological parametrization, and thus to visualize deformation of the spectral functions due to temperature effects estimated from quenched lattice QCD data. As a result, it is found that ϒ and image survive in hot matter of temperature up to at least image and image, respectively, while image and image will disappear at image. Furthermore, a detailed analysis of the vector channel shows that the spectral function in the region of the lowest peak at image contains contributions from the excited states, image and image, as well as the ground states image. Our results at finite T are consistent with the picture that the excited states of bottomonia dissociate at lower temperature than that of the ground state. Assuming this picture, we find that image and image disappear at image.