Journal
NUCLEAR PHYSICS A
Volume 897, Issue -, Pages 28-41Publisher
ELSEVIER
DOI: 10.1016/j.nuclphysa.2012.09.011
Keywords
Bottomonium; QCD sum rules; QCD at finite temperature
Categories
Funding
- MEXT [22105503]
- Global Center of Excellence Program by MEXT, Japan through the Nanoscience and Quantum Physics Project of the Tokyo Institute of Technology
- Japan Society for the Promotion of Science for Young Scientists [21.8079]
- Yukawa International Program for Quark-Hadron Sciences at Kyoto University [24540271]
- Grants-in-Aid for Scientific Research [22105503, 24540271] Funding Source: KAKEN
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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 Upsilon and eta(b) survive in hot matter of temperature up to at least 2.3T(c) and 2.1T(c), respectively, while chi(b0) and chi(b1) will disappear at T < 2.5T(c). Furthermore, a detailed analysis of the vector channel shows that the spectral function in the region of the lowest peak at T = 0 contains contributions from the excited states, Upsilon(2S) and Upsilon(3S), as well as the ground states Upsilon(1S). 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 Upsilon(2S) and Upsilon(3S) disappear at T = 1.5-2.0T(c). (c) 2012 Elsevier B.V. All rights reserved.
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