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arXiv · 1406.4934

Relation between quark-antiquark potential and quark-antiquark free energy in hadronic matter

Zhen-Yu Shen·Xiao-Ming Xu
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Abstract

In the high-temperature quark-gluon plasma and its subsequent hadronic matter created in a high-energy nucleus-nucleus collision, the quark-antiquark potential depends on the temperature. The temperature-dependent potential is expected to be derived from the free energy obtained in lattice gauge theory calculations. This requires one to study the relation between the quark-antiquark potential and the quark-antiquark free energy. When the system's temperature is above the critical temperature, the potential of a heavy quark and a heavy antiquark almost equals the free energy, but the potential of a light quark and a light antiquark, of a heavy quark and a light antiquark and of a light quark and a heavy antiquark is substantially larger than the free energy. When the system's temperature is below the critical temperature, the quark-antiquark free energy can be taken as the quark-antiquark potential. This allows one to apply the quark-antiquark free energy to study hadron properties and hadron-hadron reactions in hadronic matter.

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Zhen-Yu Shen, Xiao-Ming Xu. 2015-07-07. Relation between quark-antiquark potential and quark-antiquark free energy in hadronic matter. https://doi.org/10.1088/1674-1137%2F39%2F7%2F074103

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